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Welcome back to Impact Quantum, the only podcast where we explore

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the frontier of quantum computing and ask the real

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questions, like how many SAT words can we fit into a single

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episode? I'm your host, Frank Lavine,

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joined as always by the indomitable quantum curious,

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Candice Gilhooly. Today's guest is Clark Alexander,

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a mathematician, quantum thinker, co founder of

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Energuice. No, it's not. A startup selling

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kombucha and self professed flania. If you've ever

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wondered how quantum computing, AI and energy

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markets intersect or how to irritate IBM with a single

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slide, this episode is for you. We'll dive into quantum

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advantage, energy efficiency, and why you can't just

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build a Lego tower to the moon. Expect some strong

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opinions, academic wanderlust, and at least

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three existential crises about your electric bill. Let's

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get into it.

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Hello and welcome back to Impact Quantum, the podcast where we explore the emerging

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industry and field of quantum computing and where you don't need

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to be a physicist, but it does help if you're curious.

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And with me, as always, is the most quantum curious person I

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know, Candace Gooley. How's it going, Candace? It's great. I'm

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really excited to be here today. We are going,

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we're going, it's all good. We're going today to speak with

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Clark Alexander, who is a mathematician and

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he is co founder of Energuice. And it actually sounds

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really exciting, his company. So we're definitely going to be asking him some

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questions about that. Yeah. So welcome to show Clark and tell

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us, tell us all the good things you're up to with Energuice,

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which is a portmanteau of energy and juice.

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And in the virtual green room, we were, we were busting out with the

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SAT vocabulary words. So.

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Right. I like, I like Portmanteau. I once got

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an improv comedy show and they're like, give us some words that were SAT words.

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I was like. Well, we've had two so

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far. There was Flenore, which I was like, the

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only person I've ever heard use that word in public was Nicholas

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Nassim Taleb. And turns out you're familiar with his works.

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And then we had Portmanteau immediately followed. So this is going to be the

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SAT vocabulary word show. So not only we learn about energy

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and quantum computing, but also maybe pick up a new vocabulary word or

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two. But not like in the way when I'm stuck in traffic and my kids

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learn new vocabulary words. Those are different types of vocabulary.

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Well, thank you very much for having me. This

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is exciting. I like to talk about what I'm working on and I like

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talking about quantum computing and how it's affecting industry. And so I think we've landed

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the right place for today. Awesome. So that's a good, that's a

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good segue. Like where are we with industry? Right,

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because we had a guest recently kind of talk about

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how it's going to be an industry by industry type of

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takeover. Not takeover, but it was like it's going to grow industry by industry.

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And he's like, you know, will the airline CEOs care about quantum computing?

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Well, probably not for another 10, 15 years, but if you're in the defense or

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mathematics or even chemistry,

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you're going to care about that in a much shorter time frame.

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Sounds reasonable to me. But what's your take on that?

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Yeah. So I want to pitch back to just one

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week ago I was in Egypt for the first ever national

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hackathon of Egypt. And it was co sponsored by

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Open Quantum Institute, IBM Quantum Quantum,

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the Bibliotheca Alexandrina was there, ICAFE out of

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Netherlands. So Saleem, who you may have talked to, and then

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Yusuf Eldakar were some of the organizers. They had

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invited me to one be a juror on that at that

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hackathon, which was amazing to see the, the progress being made by the

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university students in the, the wider MENA region. And then also

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they had me give a talk. And you know,

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my thing is I follow energy. I was an energy trader a few years ago

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and you know, I work in AI and I work in quantum computing. And right

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now I'm looking at what are the energy limitations of

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quantum computing. So this was, this was my talk. It ruffled a few feathers, but

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it got people actually really thinking about it. So

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sort of to put our listeners in the right mindset, those

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viewing, I love to start with this question. This gets us sort of in the

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right mindset. And the question is this. How tall

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a tower can you build out of Legos? You know,

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like just, just the bricks. Just take a bunch of two by fours. How tall

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can you build that tower? Okay. And if you think about

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this for a few minutes, well, there's, there's kind of two

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obvious answers. There's the math answer which is just keep sticking the bricks together

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for infinity. And then there's the physics answer and you

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start asking, well, can I build this to the

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moon? What happens to gravity? Can I build this

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past geosynchronous orbit? How tall can you actually Build this thing,

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right? Plus wind and like birds flying into it and stuff like that. Like,

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so the, the analogy that we're trying to get here is that there's a math

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answer and there's a physics answer, and in the world, live in this

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sort of mesoscopic world. Here's a good SAT word for you. So

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in the mitoscopic world, this middle thing, the math and physics really agree

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really, really closely. Extremely closely. But

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when we're talking about like galactic style stuff,

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right? How do you measure how far away a star is,

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right? You're not measuring the centimeter. You're

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not measuring, you're measuring this to the nearest like astronomical unit. But you also

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have to consider like how gravity is bending light, right? I mean

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this, this is a very different realm of physics. The mathematics

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is the same, but the physics has actually changed. Now the same

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exact phenomenon happens at the quantum level, right?

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Quantum mechanics has its own set of rules. There's physical rules that are not in

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this world that we live in, right? They're mostly counterintuitive.

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So we have things like the uncertainty principle, right?

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In the, in the, the mat. The big world we live in, we don't

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have to worry about this. And there's, you know, I'll give you a joke, right?

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A friend of mine once said, I got pulled over for speeding.

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And the cop said, do

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you know how fast you were going? And my friend said, no, but I know

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exactly where I was.

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I mean, he was a physicist. And like, that was a really nerdy joke. But

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people who have studied quantum mechanics are like,

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actually that's, that's a good point. But you know, in this world we can know

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how fast we're going and where we are kind of simultaneously, right? There's

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some, some error there. But we're not concerned at 10 to the -35

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electron volt seconds. That's not a, that's not in our

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consciousness, Right, Right. So I mean, the,

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this, this ends up being the point, right? At quantum computing,

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there's this energy scale that we have to consider. There's actually a

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large energy scale and there's a small energy scale.

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And so to, to start with the large energy scale, let's start with the one.

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We kind of understand this, right? How much build, how much energy does it take

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to build a house? How much energy does it take to build a skyscraper? We

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can actually measure that pretty closely, right? So

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I'm looking at, say, these superconducting qubit technologies.

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IBM is maybe the most forward and out there

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according to their Blog. They use a 25 kilowatt

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refrigerator, which they have to run for 96 hours to get

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their qubits cold enough. Now, I gave this talk last

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week and one of the guys from IBM who I

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actually really quite like, he said, I think it's a 50 kilowatt refrigerator.

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Like, okay, that's a lot of energy, right? So let's, let's say 25

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give IBM the benefit of the doubt. Their scientists have figured out some

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extremely awesome refrigeration technology.

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But it's good to be an H. Vac tech, isn't it?

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Sorry, I didn't mean to cut you off. Yeah, yeah, but

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you do the math. It's 2.4 megawatt hours

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of electricity to get to that computation.

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And in this world, we can't ignore that overhead, we can't

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ignore that time overhead, and we can't ignore that energy overhead. And so

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you ask this second question. How much can you get done in four days

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using 25 kilowatt hours of electricity? That's like 400

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laptops running at full tilt, right? For four days.

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Like, can you get a pretty good approximation of

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literally anything running that fast? It's like

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not everything, but an extremely large set of problems you can

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get a good approximation for, right? And so

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I was in a business meeting a few months ago with the

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former head of Renaissance Technologies, and I pitched this question to him,

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right? I can find you an approximate portfolio of stocks

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that you want to trade which will give you, let's say,

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28.1% return. Or I could run for

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four days and I could get you

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28.100000007

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return. And he's like, well, I'll take the first one all day, right? By the

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time the, the stock market's already changed in that four days, so

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that, that 0.00007% return is, it's actually

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negative, right? Because you're paying for that in time and volatility,

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right? So what this, this does, this puts us in

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what quantum computers can and cannot do and where they actually are going to be

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advantageous, right? So for me, I like to, I like

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to sort of say exactly what is advantage and what is

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supremacy in the world of quantum computing? I think these words get used a

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lot without like really defining them. So

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I'm going to dig deep into my mathematical self and I'm going to give you

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the definitions and your listeners and viewers can disagree with me all

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they want, and that's totally fine. But from my

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perspective, there's three things that we measure in modern

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computing. There's speed, there's memory.

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And the kids who have studied the beginning computer science algorithms will realize

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you can trade off speed and memory. You can sort a list really, really,

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really fast if you can memorize all of it. Right? So there's a trade off

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there. Okay. But the third one now is really energy,

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right? You look at the large language models

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opening, reopening nuclear facilities, data centers, how much water

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they're like Tulsa, Oklahoma had to go on water restriction a couple of days last

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year to like cool these data centers down. So this is no longer

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this sort of thing we think about at an industrial scale. This is

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the main metric. There's energy, then there's speed,

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then there's memory, right. Or energy and then time and then

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storage. If you want to think of it this way, for me, energy

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is like the prime metric now in quantum

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computing space. I think advantage means that some

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quantum computer chip system

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has outperformed a supercomputer in at least one of these three things,

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even on a specialized task. Okay. And

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Supremacy would mean that a quantum computer is outperforming a

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large, large, large set of problems in all three of these tasks.

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Okay. So advance. We've probably seen

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Willow, probably this Marco Pistoia when he was at

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JP Morgan before, before he joined Ion Ionq.

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They did this certified randomness. I

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think that's advantage. I think that is advantage. They have built a very

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specific chip to outperform in speed.

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Building randomness on a classical computer.

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I'll give them this, right. I think, I think that actually happened

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for Supremacy.

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I think because we have, at the moment, we have

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this huge time and energy overhead, I don't think

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we're actually going to be able to get ahead on time based problems.

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Right. So I've worked in supply chain optimization and I don't have four days

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to cool down a computer. So I can make a decision. I have to make

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the decision 12 hours from now, right? If we have this

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overhead that can't be discounted. And so there's no way a quantum computer can

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actually beat that in time because they have

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this overhead that you can't get around, right. There are physical rules to it. It's

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not like, oh yeah, I have a quantum computer that's just always on, right?

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With that amount of energy, if would. You throw energy into the mix, then yeah,

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that becomes an issue, right? And I was thinking like, well, what if you rotated

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it, right? Like you have one on one cooling? And I was like, well, you're

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still spending. You still have. Absorbing.

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Not absorbing. Yeah. You're still running a lot of energy. Yeah, that's

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right. You know, and a few years ago I was talking, I

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interviewed at Oak Ridge National Lab for their quantum machine learning group and

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they were, they were installing Frontier at that time, which was

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at that time the world's fastest and largest supercomputer. It's now moved to

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second, but when it came online was the most energy efficient per

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computation that had ever been built. And the guy directing

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the building of this computer said, you know why we didn't build it twice as

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big? It's because we couldn't afford the electricity bill. I'm thinking you guys work for

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the doe, right? Right. Seriously, if anyone could, you

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know, sign off on new nuclear reactors and whatnot, like, it'd be them.

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I mean, this is them telling me they couldn't afford the

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electricity bill. So there's some, like this metric has

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like catapulted into like, this is the thing we actually really need to care about.

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Right. At an industrial scale. And, you know, he worked out the math for me.

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Roughly as you square the number of operations, you cube the amount of electricity

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necessary. This is a serious,

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this is a serious problem. It's funny because now you, you pointed something out

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that, so I live between Data Center Alley in Northern

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Virginia, which is Loudoun County, Virginia, which is

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near Dulles Airport. So if you ever fly in a Dulles airport, all those

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buildings are probably data centers and Three

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Mile Island. Right. So one of the big

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controversies here is they want to plow through a lot of farmland and

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like remove, put in a new power line.

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It goes basically straight from the Pennsylvania grid to Virginia.

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And there's going to be, there's a lot of political drama, NIMBY

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type stuff going on. NIMBY meeting, not in my backyard. It's not another

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SAT word really. But.

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But I mean, like, it's like it's serious and it's just like basically

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the way the, there's a lot of shady deals going on where Maryland

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customers are going to have to pay a surcharge for this reliability product project,

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which is the electricity is basically going to go straight over our heads into the

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next state. So I mean, this is a very real problem. Right. And you

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can look, you can look online about, you know, kind

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of stories about, you know, communities

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that have had data centers put in and it wasn't exactly the wonderful

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thing that they were told it was going to be. Right. So like, it's, it's,

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it's interesting to see that. Now this is an issue. Right.

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I long sometimes for the days when nobody cared about computers but other

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computer nerds. Yeah, yeah. I mean I'm

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in, in some ways I make computing great again. Right, right, right,

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right, right. Mpga. That's what we want to do. Make it obscure

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again. Again. I like that.

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Yeah, we got the acronyms going today too. So

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anyway, this, this is where I, where I am about how quantum computing

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is going. I don't think supremacy is in the cards because there's a large

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set of problems that we

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can't either outperform on memory or time. Right. One,

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energy or time memory is not even in the discussion yet. Right.

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Story. Quantum storage is not even in discussion. I know there's a patent on

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qram and I took to Mohammed Zadin who has that patent. I talked to him

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last week and even he's not really a believer in

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quantum memory over performing classical memory ever.

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And he has the patent. Right. So it's not like

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it's not some rando on YouTube. Right, right. This, this is the

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folder I saw the patent itself actually, which was pretty cool. So

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any case, he's, he's not necessarily a believer in this,

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this third one, the memory piece. So

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I think going way back to the earlier point,

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what we're going to have to have is quantum hardware built for

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specialized problem sets in which they can perform an advantage and

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maybe two or three, two of the, two of the metrics that probably be able

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to over forum. I, I see this happening. Right. And

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to give yet another analogy, I was speaking with

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the IEEE subgroup yesterday. We were working on our, our final paper for

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quantum cyber security. And I told them this, that we're, we're discussing

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Google's Willow chip. I'm a big Formula One fan. I've

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been a big Formula One fan for a long time, since 92 actually, Nigel Mansel,

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but you can look that one. Nigel Mansel, my man.

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Weird dude, but good driver in, in modern

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Formula one, they take the cars apart after every race and they

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rebuild them and they sort of rebuild

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them to be advantage, advantageous to the track they're about to race on.

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Right? So this, this is some like really, really, really specialized race car. At each

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track, it looks roughly the same, but they can tilt the front wheel a little

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bit and they can, they can balance the tires a little bit. So if they're

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going to be turning right a lot more than turning left, if there's banked turns

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right. If there's a very, very long straightaway, they'll they'll let

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the, the back wing come down, you know, a tenth of a degree more.

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It's built specifically for the track. Right. They're not

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allowed to memorize the track. That calls the disqualification. A couple years ago with Renault,

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they had memorized the tracking in the brakes

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that caused a disqualification. But they, they build

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the car to, to the specifics of the track for the week. That's legal

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right, to within, to within rules.

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That's the kind of thing I think we're going to see in quantum computing. People

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are going to be building specialized systems to solve specialized problems

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and kick ass at doing this. Right, right now the,

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this where, where we're actually going to see some advantage. You know, again, I

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was sort of jostling back and forth with IBM about this.

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This is. Well, I can solve something that will take 3 million years in 5

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minutes. Okay. If that thing is worth 3 million years of

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advantage, then I give you 4 days, I'll give you 8 days to cool your

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computer down. It doesn't matter. Right, right. But stock trading

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doesn't fall on this thing. But if you're talking about

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improving, we end up speaking about the

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Habermach process for making ammonium. Right. If you're

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improving that by a fraction of a percent, the

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payback is so, so, so enormous over, over just

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a year that that energy usage is going to be wiped out.

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Right. If you're doing something that's like a long term massive energy

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reduction problem and you can solve this faster, that's

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advantage. That's really a thing that has happened. But stock

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trading, supply chain optimization, it just can't. Right? You

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can't, there's, there are like physical barriers which you can't do that.

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Right. So it really has to be for now

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forget nisq. This is like specialized quantum hardware to solve specialized

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problems. And I think, and, and I'm, I'm okay with that. I think that's a,

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that's a really interesting scientific and

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engineering problem to go into like solving. I want to solve this thing

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better than it has ever been solved in history. Right.

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That's, that's a, it's a worthwhile, at least scientific endeavor.

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Well, so I'm the curious one, so I get to ask questions that sometimes seem

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silly. But when you're saying the

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quantum hardware that's able to do this kind of precision,

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why would that not be different kinds of software?

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Like I'm trying to understand the difference as to, as to

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what would allow you to do this

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kind of computation. And I thought that was more of a software thing

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than a hardware thing.

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Well, at this level, at present, they're not really separated.

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Right. Because I think, I think where we are in the world of quantum

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computing is we haven't even decided what a qubit really is.

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Okay. There, there are nine known types

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of. Geez. And,

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and what I'm hearing this is, this is from the IEEE discussions are saying, well,

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each one has its own advantages and disadvantages.

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I mean, so have we decided what a Qubit is? Well, IBM

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has decided what they think a Qubit is, but IonQ has decided something else.

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Right. Because there's, there can be used for different sectors to solve

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different types of problems. Like you have the ion capture and then you have

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the super. You know, when we started learning about qubits and learned there

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were nine different kinds and you know, every time we feel like we've

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got our handle on the information, there's just a little bit more that's

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released that we're like, no, we don't know anything. Two,

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like mathematically there's two types, right? Annealing has these, like these

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wires. Right. So if we're going to talk about topology a little bit,

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the annealing is just like, it's a one dimensional qubit. It has, it's just

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spin, positive or negative spin. And the,

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the neutral atom or

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the trapped ion or the superconducting cubits, they're like

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full electron spin. So the, the annealing 1D wave

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is like an S1. Oh, the circle. And then on the, the

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gate side you have like S3. So a sphere sitting in four

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dimensions. Right. This an S3. Right. So

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even even that technology is like mathematically they're super

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far apart. Even how you program them is different. Right. So it's just like

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the analogy of a punch card computer to

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modern digital computer. Just even that technology is different. So they're going to do

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different things. Although punch cards are not so useful at this

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time. No, I know what you mean. You mean like what's the type of architecture

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we have now? Not von Neumann, but I know what you mean.

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Like the typical. It'll come to

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me later. But speaking of sat. Yeah.

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Computer science, AP terms. But yeah, I know what you mean. Like a traditional,

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what you would call a conventional or classical computer, that type of thing. Punch

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card computer is a little harsh. But, but I know where you're going with

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that. Two types of quantum

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computers are not, it's not that far apart. But you know, I just want to

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make the analogy so that the listener understands that

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annealing and gate computing are really separate technologies and they

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require a separate set of mathematics and a separate set of programming. Right. A

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digital computer is like, or to be reductive, it's a little bit of

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light switches. It's just a whole bunch of light switches, zeros and ones on and

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off. A quantum computer has a fundamentally different set of physics

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and so it needs a fundamentally different set of rules to program. Well,

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annealing and gate computers are also fundamentally different. Like

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topologically, they're a distinguishable type of things.

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So it's not just a new species, it's like a new

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category of species. Right. Like just program

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a gate computer to do an annealing task. They're not the same.

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Okay, so is that why companies like D Wave, they're, they're

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heavy on the annealing side of things and they're, they're more

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commercially around longer and maybe that's an

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easier problem to solve? Well, annealing is,

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you know, kneeling's been around for several thousand years. Right. And so I think

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it right itself In I guess 99 when D wave

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started to say like, yeah, actually we could probably do this quantum

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annealing thing and make, make a specialized thing, right?

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D Wave, D Wave has a specialized solver. It's, it's kind of a one trick

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pony. And I don't say that in a dismissive way like it's an

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amazing trick that it does, but it does a thing it's not going to

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be doing. It's not, you're not going to have a D Wave GPT,

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Right. That's the kind of thing it's going to solve. You're going to have these

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really hard optimization problems which you can pitch as

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binary optimization problems. So special purpose

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computing. Yeah, yeah. And it can solve a

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lot of really, really hard problems or solve or

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approximate very closely a lot of hard problems.

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But it's in a specialized realm, not just a general computer.

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Right. So where do you think

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the first breakthrough is going to happen? True

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breakthrough? Like, is it going to be in precision? Is it going to be in

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pharma with precision medicine? Is it going to

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be in energy with EV batteries? You

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know, is it going to be in finance

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for, you know, what was that? The random number generator?

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Like, what do you think will be the first true

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breakthrough?

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I don't, I don't want to maybe guess because

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what prediction is hard, especially about the future.

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Go more quotes. But I'll say this,

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what I see, you know, I, part of my talk is I, I talked about

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how cyber security is safe from quantum Computers forever and ever and

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ever and ever. It just is. RSA 1024 is safe from

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quantum computers because of this. There's an energy limit on the bottom. We can talk

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about that later if we want. But they're only

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safe from this particular style of attack.

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Right. This quantum Fourier transform source algorithm is going to top out because

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you have to do this. You have to rotate these

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electrons so little, right. So the

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readout becomes random. It's just noise. Right. You can't, you can't say,

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I'm going to rotate this 10 to the

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-7050. Right. That's zero. That's,

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that's zero rotation that the rent. The readout will just be random. Okay.

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There's no, there's no way you can produce so little energy to actually make that

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rotation physically meaningful.

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Right. Mathematically, it's fine. Rotate as little as you want. It'll

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work. We've proved Shor's algorithm works mathematically in the 90s.

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Physically, it can't. Right. There's, there's an uncertainty limit there. But

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what, what, what all that does is that tells us

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that the, the path that we're going is going to have some sort of limitation

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when you're trying to get some so specificity, right.

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You're. You're going to run into a limit the way we're doing it

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now. This does not, however, preclude some totally

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other algorithm and totally other way of doing

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things from coming up. Right. Going back to Nassim Taleb, we'll go to

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the Black Swan. Right. Earlier this year,

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Ken Ono, who's an amazing mathematician, he's a number theorist, actually, I

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think was working with Katie Ledecky, the swimmer. They were, they were doing some.

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So he helped her with like, cracking the statistics. But anyway,

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he's, he's a number theorist and he and two of his students,

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Greg and I think Vaughn Iterson, they put a paper this

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year redefining what prime numbers are.

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Hmm. And they said, actually

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we found out that if you take this polynomial and this partition function, partition

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is just the number of ways you can add up a number to get there.

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So five can be added up as four and one. It could add up as

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three and one and one or three and two or two and two and one.

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Right. These are partitions of five. How many partitions of the

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integers there are this polynomial times this partition

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function plus another polynomial times another partition function.

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It works only on primes. It's just this sort of like, magical thing.

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We've been thinking about primes. The Same way since Aristhenes, right.

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2600 years ago. Right. We've been thinking about primes this

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way for a long time. And now, just this year, 2025, we say,

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actually there are infinitely many more definitions of primes.

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This is the black swan, right? And so, you know, let's. Let's go, let's. I

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love this. This quote is from The Zero Effect, 1998.

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Bill Pullman's character says this thing, and even though it's a

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comedy movie, it's so, like, philosophically deep. I kept. It says, if

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you're looking for something, something specific, your chances of finding it are

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very bad because of all the things in the world. But if you're looking for

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anything, anything at all, your chances of finding it are very good

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because of all the things in the world. And I think,

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like, this is. This is where we are in quantum computing right now.

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For. For specifically for Internet security.

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Right. Somehow there's. There's a magical way in

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which most technologies have two different sets of competing

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technologies, but Internet security has never been that. It's just been key exchanges.

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Okay? And so factoring large numbers has basically been

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what Internet security is. Well, now you just need one

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algorithm to break any one of infinitely many definitions.

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I'm looking for anyone at all in any way, shape or form.

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I'm not precluding this possibility at all. In fact, the

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chances of this not happening are one in infinity, right? It's going to

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happen, right? This thing is going to happen.

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By whom? I don't know Where. I don't know by what type

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of algorithm, I don't know. But the fact that there are so many

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possibilities now, it opens it up in a way that we haven't

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been thinking about, right? And this, this is brand new. This is four months

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ago that this paper came out, right? So we're. We're

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not there yet. So Internet security,

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maybe at least the. The integer factorization part,

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what I see actually happening, and

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maybe I'll ruffle some feathers here. A good friend of mine I

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went to undergrad with is now at Flatiron Institute. And if you follow Flatiron

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Institute, these are four guys who, they take all

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these claims about, oh, quantum breakthrough happens. Chinese researchers

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have done XY thing that supercomputer could

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never do. And about six months later, they say, actually, we did it on a

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laptop. They've done this like four or five times.

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Flatiron Institute, they do awesome stuff. And

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for me, talking about quantum impact, being on this, like,

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particular podcast is important that the real

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measurable economic impact of quantum computing is

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it is causing these guys like Flatiron Institute and guys like me who work in

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evolutionary programming to rethink what our classical algorithms are

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doing. We are getting better and faster and smarter

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classical algorithms which are costing less energy and less memory

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to do better things, to sort of push quantum advantage back.

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This is a quantum inspired algorithms at the.

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Generally the. Okay, some of them are, and some of them are just like,

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oh, you know what, there's this randomization scheme we just weren't looking at,

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right? Some of them are just pure randomized algorithms with

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like a really clever way to do stuff,

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right? Now I give this example, like someone showed me this is the

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slickest line of code I've ever seen. And it was,

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it was for a video game where when you're looking around in a video game,

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what they want to do is make the, you know, all the

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vectors are normal. So like when you're looking at the spot, you

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turn around and you look. And what this looks like mathematically is you have to

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take this ray of vision and you normalize it to

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length one. Alright? So going way back to vector analysis,

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you take the vector, you divide it by its length,

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right? So square root of it. And so this guy found this way to

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just take an inverse square root really, really, really fast.

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And the way he did this is basically he got a really good first guess

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and one linear approximation. And that's

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absolutely brilliant. That's what he did. He took a really, really, really good first

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guess. And so this thing can sort of run and it causes much less lag.

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And you can, you can, you can see this happen in like, you know,

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area game. So you, he's reduced the lag across the entire network of

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all video gamers worldwide by just this clever,

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right? That's pure, pure classical algorithm. But it was like a really awesome

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randomized first guess. He figured out how to do that,

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right? No quantum nothing. It was just like, oh, if you start

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near the solution, you only have to do a little bit of computation to get

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to the real solution. So some of it is quantum inspired

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algorithms. Absolutely 100%. I work in that sort of area.

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Genetic algorithms, Monte Carlo simulations. I think there's this like

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biased field diagonal cross.

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Optimize something. It's a, it's a terrible acronym that has

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no word to it. But this to me

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is like the, just the quantumized version of this 1992

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algorithm called MCMCMC. There's three

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MCs which for the listeners will be

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Metropolis coupled Markov Chain Monte Carlo algorithms,

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in case you're wondering. So it's not a rap group from the early 90s, though

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it's unfortunate. Not. No, it's not in the native tongue school. Right.

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I know Latifah and De La Soul would have put out the album of the

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three MCs, but that'd be awesome. And

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it got into like, philology in. In biological

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classifications. But I use this actually for supply chain optimization

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because the point is that instead of just guessing this one spot like

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Monte Carlo algorithms do, it allows you to guess

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many different Monte Carlo algorithms. And so it allows you to

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find multimodal probability distributions a lot

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faster. It converges so much faster. Right. It's just

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pure probability. And I think, I think that actually inspired the quantum

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algorithm for the biased field diagonalization,

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at least to my reading. That's how it looks. Right. So the

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quantum algorithm is classically inspired, not the other way around this time.

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Gotcha. It goes both ways. Right.

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This is a. So you wouldn't have thought of that kind

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of. Naturally, you would not have thought that the classical

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inspired algorithms would. I don't know if the. The authors

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of that algorithm were thinking of it that way, but, you know, having. Having

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used the other. The classical algorithm myself multiple times and,

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and having read their paper, at least to me, it was just like,

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you know, my neurons were lighting up, my neural network was saying, oh, these are

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the same algorithm. These are the same algorithm. That's how it

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rang to me. They might not have been thinking about that. And that's cool that

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they have like a totally unique algorithm. But, you know, I,

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I've, I've seen this algorithm before as a classical thing,

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but even, even if they didn't know about it, you know, this same

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sort of technique landed. Right. It's like,

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it's like the name Soren. Soren is a Persian name, but it's also a Swedish

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name. They just sort of landed on the same letters. Right.

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Interesting. That's my take. Could be wrong,

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but that's just how I read it.

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I'd love to just take a little step back if I could. I mean, what

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you do sounds legitimately

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fascinating. And you know, what you're uncovering and

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you're. You're at the, the frontier of

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innovation, you know, I'm going to ask you, like,

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walk me through a little bit of your career journey.

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That got you. That got you to where you are

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right now. Okay.

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I hope you guys like random walks because. Oh,

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that's all the type of walking I do. Fantastic. Okay.

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You'll appreciate this. I've, I've done a couple

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of, I've been to support

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this program in Mexico a few times called Clueless. And one of my

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former students from Northwestern is one of the founders of this. So he invited me,

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said come talk. And, and one of my favorite events at this,

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this week, it's like a one week intensive where instructors from Mexico and United

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States come and teach like one week intense course on some sort of

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science to high school seniors, college freshmen, college sophomores in

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Mexico. Right. Because there's a lot of talent coming and they just don't have the

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resource that was the point. But Wednesday night of this week,

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whenever they do it, they have like the, the Science Cafe and they have the

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instructors, me and some professors from University of

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Chicago, from Harvard, they come and they ask us questions

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and someone asked me about how do I

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think about work, life balance, something like this. And I said

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whatever you're expecting in the future is wrong.

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That's it. But I don't mean start there. Yeah, but

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what that means is that some things are going to far exceed

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your expectations and some of your expectations will never

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even get close. Right. Okay. Right.

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So that's, that's kind of, and that's, that's kind of how my life has worked.

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So I'll give you like just the really top down overview.

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I finished my PhD in 2008 in non commuter

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geometry and mathematical physics. What I have

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learned, reading a lot the last two years is that historiography is a chaotic

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system. If you start the story one year earlier, it changes the whole story.

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So 2007 there was a whole hiring spree for non

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commutative geometers and mathematical physics. And this was spurred on by Alan

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Cohen's idea that he may have solved Riemann hypothesis using these mathematical

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physics techniques. There's like this glut of non commutative

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geometers getting in postdoc positions. The 2008 comes

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around and I, I didn't get one of those postdoc positions. I got a teaching

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job at Temple University. Go Owls. It was

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awesome. But I was going to say at. Least you didn't work for a mortgage

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company. So. Right. Well, almost, almost happened.

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You know, think, think all it didn't. Right. You'll go randomness all the way.

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2008, you may have remembered there was like a massive financial crisis.

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So there were a lot of postdocs of three postdocs for three years got

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shortened to two postdocs of two years. So I got double

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caught up in that. And Then I basically came what

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they would call in the sports world the journeyman. I went to southeast India to

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Institute of Mathematical Sciences for a year. And then I came back.

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A professor had died days before semester was supposed to start, and I

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just ended up getting a job at the University of Wisconsin Parkside to fill that.

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That was completely random only because I had known someone here in Evanston who was

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doing this. I taught there for two years. Then I

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landed at DePaul lecturing one year. One year. One year. I was at DePaul

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for six years. And then I moved to UIC for a half a semester. And

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I never was going to make tenure. Right. That those days had

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kind of passed for me in some sense.

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And so a friend of mine who I'd gone to Northwestern with had started a

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company, and he. He called me and said, clark, I'm doing this

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thing in data science, but it's not. It's not traditional data

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science. I need some real mathematical firepower, and I don't have it. You want to

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come work with me? And he went

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to my wife and said, you need to convince Clark to come work with me.

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And so my wife said, clark, you need to go work with him.

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My friend Rami pulled me out of academia and started me into industrial

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mathematics. And I didn't know how to program a computer, and so I learned

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there. Rami, unfortunately got sick and he. He died

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a few years ago. And so I kind of have made my way

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from there. He got sick and then. Then Covid

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happened and I left that company and I joined an

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electricity trading company through another roundabout connection that I knew from India.

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Completely random. A mathematician was like, I want a mathematician to help me trade

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electricity. Okay. So I did that. There was a

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electrical storm in Texas, you may remember, like, there was an ice storm.

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Everyone lost all the money. So my company went under. I lost a job again.

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Fantastic. Started just applying

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everywhere. That was when I was applying at Oak Ridge. And then I ultimately took

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a job at a credit card company that didn't work out

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for whatever reasons. And then I joined a logistics

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company where aforementioned, my friend Rami was

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supposed to be the head of AI, and when he was. When he was

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really sick, he had called the CEO and said, hey, you need to take Clark.

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And so that's how I landed there. Interesting.

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Mentioned a couple of times. Energy trading.

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What's the dollar store description of what

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energy trading is? I'm not quite sure because I know it comes up a lot.

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Usually when there's a crisis, people are suddenly experts on energy

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trading, but like the Texas crisis, plus there was some

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drama in the early 2000s in California and I think

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the most infamous energy trading company in the world is still. Enron,

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many orders of magnitude. So. Yeah,

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well, if you're going to blow up something, blow it up big.

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But what, what is energy

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trading? I don't quite get it, right. Because like, and this has come up, you

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know, I'll tie it back to the issue with Maryland and

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Virginia and Pennsylvania, right. Like they're talking about they buy

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energy from here and they do that I don't quite understand.

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I can understand how the math would work in terms of optimization and

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probably what you do, but I don't understand the industry. And I realize this is

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the Quantum podcast, not energy trading, but what,

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what's like a good two dollar description of. Okay,

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fantastic. I'll give you two really easy problems and then I'll tell you why quantum

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computing is important. Okay, so good, you're tying it back in.

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That actually just happened recently. It'll tie all back in. Great.

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So there's, there's two ways the energy trading sort of works, right. The easiest

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one is you go to a city, let's say Madison, Wisconsin.

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Right. Wisconsin goes to the regional transmission

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operator or independent system operator, depends on how they're named. So you've heard maybe

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of Caiso, that's California ISO. And then

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you've maybe heard of miso, which is where I am, Mid

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Continent Independent system operator. So the ISO or the

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RTO controls like all the energy flow and it controls the

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pricing. So the city of Madison, Wisconsin will say, okay, I want

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to buy, is basically a futures contract. I want to

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buy this many gigawatt hours of electricity

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that you give me from January 1st to December 31st

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of this year. And I want to pay this much per

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kilowatt hour for it ahead of time. And in this way Madison,

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Wisconsin can now sell to their residents at

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whatever marginally marked up price. Right. So we want to buy it

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for 12 cents a kilowatt hour for the entirety of the year. And we're going

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to make a deal for, let's say 500 gigawatt hours,

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whatever they make, I don't know how much Madison uses. And then so they sell

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it to all the, the, the independent

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households and the schools and the businesses for 15 cents a kilowatt hour. And that's

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just the price of electricity for the whole year. Right. That's one way to do

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it. That's a, that's a four year contract. Okay. They make the deal

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the one in trading. So you could do that if you're, if you're a

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municipality, you trade this way. If you're an individual little brokerage

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house, you will say, okay. The ISOs and the

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RTOs actually set the price of electricity. And what they do is they say,

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okay, 9:00am today, so this is just a few hours ago.

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They set the price for tomorrow's electricity

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pricing. They set it at 5 or 15 minute increments, depending on where you are.

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So say every 15 minutes we're going to charge this much for electricity.

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Okay. This is called the day ahead price. Okay.

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And so what, what happens is these little traders can come in and say,

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okay, actually I think it's going to be less than that.

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Okay. It, the real time price is going to be less

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than that. So what I'm going to do is buy the real time price now

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and sell it at the, the actual. I'm gonna

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buy it, buy the day ahead price and sell it at the real time price.

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Right. So they make some money. Or you can sell it as like short

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selling. Basically you can sell it, you think it's going to be too expensive, you

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sell it and then you buy it back at the, the real time price.

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Literally. I think this is called day ahead real time. So in, in trading they

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call that the DART model D A, R, T. Right? That's,

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that's the simplified version. And then there are options, all

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sorts of exotic options and, and hedging and

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all kinds of stuff. You know, they run it like a hedge fund, except that

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the commodity they're trading is time based. Very, very, very strictly time

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based. That's how it works. Okay. So you know, Con

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Ed is kind of like the supermarket. And then whatever the

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supermarket buys their food and their groceries and distributors is

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kind of like that, the back office to all of that. Right. And so

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the RTOs and ISOs have this question like how do you set the price?

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And so what you want to do in. So this is a massive, massive

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optimization problem. This is probably the most important, most

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worthwhile optimization problem you've never heard of, called the AC opf.

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This alternating current, optimal power flow. So

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what you want to do if you're making the electricity, if you're a generating plant,

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you don't want to just distribute more than you've made and you

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don't want to have shortages. So you want to balance best you can

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in real time the supply and demand of electricity.

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Okay. And this takes into account

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congestion. Where there's construction, there are voltage angles, there's

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like you know, there's all, all sorts of things, pricing. So if,

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if you're a mathematician, this is the most exciting problem because it's non

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convex, non linear, time dependent, directed graph,

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acyclic graph, cyclic, whatever, whatever non thing you

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can think of. This is the problem for you.

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Like a 0.1 percentage in improvement. I think I did the, the math on

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this. If you improve the efficiency of this solution by 1% and

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are actually able to successfully trade on it, it's like a billion dollar a day

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benefit. Oh wow. So no wonder why it's

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run like a hedge fund. Yes, but like bigger than that. Way, way,

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way, way, way. Right. Because the electricity market is

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so much bigger than the stock market because everyone uses electricity

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all day, every day. Right, right. And it's, it trades on

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companies and trades on everything. And there are, there are options and there are municipalities,

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there are big players, there are little players. This is a big market. We're talking

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like size of 4x. I mean massive, massive market.

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So wow. The AC OPF extremely

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difficult. The way that people make money is that the, the

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optimization is called the D.C. oPF and D.C. oPF is direct

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current, optimal power flow and that has a convex solution. So you

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can simulate this and solve it very quickly on a digital computer.

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You need a supercomputer, but you can solve it quickly. Right. Minutes.

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Right. It's a minute solution, not a, not a

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millions of years solution. So one of

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the main problems, the ACOPF has sort of sub branches. One is about

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pricing and one is about actual energy delivery. It looks like

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IonQ has recently worked on the unit

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delivery problem. So given a particular

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power plant, where does it deliver its units of energy? I guess they're

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doing them, they're probably scaling them in kilowatt hours. Where does it

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deliver kilowatt hours at 15 minute intervals? That is an

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extremely difficult problem. And it looks like IONQ has tried to

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tackle this at least at a small scale. Right.

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So this might be one of the major breakthroughs. Just the problem is the amount

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of memory needed. I think it will

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overwhelm any quantum computer that currently exists.

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But this might be one of the major things. But

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ACOPF is like worth not a little bit of money,

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is worth a lot of money, extreme amounts of money.

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So wow, this has been interesting and I like the fact that

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this is literally every time you flip the switch, like this is a

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mathematical problem. So kids, if kids are listening,

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math is super important and

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that cannot be said enough. Seriously, Seriously.

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But look at the exciting things. He's doing because

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he started with math. I mean, this is just

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outstanding. Interesting. Like, this

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would captivate any, you know, any Gen Z

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kid out there. Like, you know, you can tell she's Canadian, she lives in Canada.

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She's not. Right? Because I say I born New York,

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born New Yorker, born and bred. But now I say Zed because I'm in Canada.

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Still on Mid continent ISO.

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Honestly, Clark, you've been absolutely fascinating. I've

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loved every second of this and I absolutely want to have you back on

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because I have so many more questions to ask that, that we didn't get to.

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So I, I just, I'm blown away right now. I've learned. I've learned a lot.

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I've learned a lot. And I have to like, digest, you. Know,

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to just the explanation of the electricity

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markets and how they function is worth it because I just. All I remember

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is, oh my God, Enron did all this

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fraud and then you didn't, you didn't hear about it for years

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until everything went sideways in,

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in Texas. It's like, oh, well, the energy companies blame the energy

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traders and blah, blah, blah, blah. These people do this. And I'm like,

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oh, these people again.

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Yeah, yeah. So that was, that was a totally different issue.

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Maybe we can get into that if we, if we go again. Yeah, another time.

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Yeah, yeah, yeah. But where can folks find out more about you and

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what you're up to? Basically, I'm

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mostly on LinkedIn these days, starting another

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venture called Argentum AI, which we're trying to do energy efficiency in.

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In AI training. Right. And we distributed

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training. So Argentum AI is one of my things introduce.

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We're trying to do some projects with the DOE,

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but mostly LinkedIn. I'm. I'm kind of just

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mostly there most of the time. Yeah. And.

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And if you're into soccer, I'm the local soccer commissioner in Evanston, so come out

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and see me on Sunday. Cool. Awesome. That's

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awesome. And we'll let our AI finish the show. And that's a

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wrap on another episode of Impact Quantum, where the topics are dense,

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the qubits are entangled, and the guests are occasionally

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flaneurs. Huge thanks to Clark Alexander for joining

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us today and proving that mathematics isn't just useful,

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it's a passport to energy markets, quantum

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hardware and mildly unsettling jokes about the uncertainty

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principle. If you enjoyed this episode, be sure to, like,

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subscribe or entangle yourself with our past

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interviews. You can find Clark on LinkedIn,

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energuce on the cutting edge of renewable innovation and

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candice trying to remember which qubit type is currently

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trendy. Until next time. Remember, classical

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computing may be fast, but quantum computing has

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better party tricks.