Latest / Daniel and Kelly’s Extraordinary Universe / What Is A Quantum Computer?
Transcript
- 0:07Speaker 1: So you know how sometimes in physics there's a word,
- 0:10Speaker 1: and this word for people it's like magic. It means
- 0:13Speaker 1: like a big leap forward. It's like a huge transformation,
- 0:17Speaker 1: you mean, like dimensions, dimension is the worst, absolutely, and
- 0:21Speaker 1: stuff like that. And the one I'm thinking of in
- 0:23Speaker 1: particular is the word quantum. Quantum mechanics obviously a huge
- 0:27Speaker 1: transformation the way we think about the world that it
- 0:29Speaker 1: also seems to be a transformation and everything like you
- 0:32Speaker 1: can find like quantum massage, and you know, there's that
- 0:35Speaker 1: whole television show Quantum Leap, and like all this stuff
- 0:38Speaker 1: has nothing to do with quantum mechanics at all. It's
- 0:40Speaker 1: just the word quantum seems to represent some sort of
- 0:44Speaker 1: high tech, next generation high tech fanciness. You know, sometimes
- 0:49Speaker 1: it really does represent a transformative leap. Sometimes there really
- 0:53Speaker 1: is an opportunity to convert a normal version of something
- 0:56Speaker 1: into the quantum version and then take a huge step forward.
- 0:59Speaker 1: And so that's what we wanted to talk about today.
- 1:02Speaker 1: After my quantum massage hold on him and I'm Daniel
- 1:24Speaker 1: and this is our podcast. Daniel and Jorge explained the
- 1:27Speaker 1: universe in which we take the whole universe and chop
- 1:30Speaker 1: it up in the little pieces, turn each of them
- 1:32Speaker 1: into a quantum of understanding and download it into your
- 1:36Speaker 1: brain and in which you feel like you understand and
- 1:39Speaker 1: not understand at the same time. No, we're going for
- 1:42Speaker 1: a hundred understanding. We don't want to be one of
- 1:46Speaker 1: those podcasts where you feel like, oh, I heard a
- 1:48Speaker 1: lot of smart people talking about it, but I didn't
- 1:50Speaker 1: really get it right. Yeah. Yeah, because in this podcast
- 1:53Speaker 1: you only listen to one intelligent person, Joe and I
- 1:58Speaker 1: together making one intelligent person. We won't say which fraction
- 2:01Speaker 1: of each, but together we are one smart guy. We
- 2:04Speaker 1: are quantum entangled in our intelligence. That's right. That's right,
- 2:08Speaker 1: And this is just the latest in our projects together.
- 2:11Speaker 1: We also wrote a book called We Have No Idea,
- 2:14Speaker 1: A Guide the Unknown Universe, where we explore all the
- 2:16Speaker 1: big questions in the universe, what doesn't physics know yet
- 2:19Speaker 1: and what could it mean for humanity? And if you
- 2:22Speaker 1: search online on YouTube, you can also find a couple
- 2:24Speaker 1: of the videos that we've made together about the Higgs boson,
- 2:27Speaker 1: about dark matter, about gravitational waves. So check this out. Yeah,
- 2:32Speaker 1: so today we wanted to talk about quantum computers because
- 2:39Speaker 1: we feel like it's a word that's bandied around, and
- 2:41Speaker 1: we wanted to make sure everybody understood what it actually means.
- 2:44Speaker 1: Think about whether you know what a quantum computer is. So,
- 2:47Speaker 1: as usual, I went out and I asked ten random
- 2:50Speaker 1: people on the u c I campus if they knew
- 2:52Speaker 1: what a quantum computer was and how it works. And remember,
- 2:55Speaker 1: some of these people are computer science undergraduates, so they
- 2:58Speaker 1: really should know. Here's what they had to say. Nope, nope,
- 3:03Speaker 1: you never heard of a quantum computer? All right, cool,
- 3:05Speaker 1: I have no idea. Have you heard of the quantum computer?
- 3:09Speaker 1: This is the first time that I'm hearing it right now.
- 3:12Speaker 1: I'm not sure about how does it work, but I
- 3:15Speaker 1: know that it has four men bits or alphabet and
- 3:21Speaker 1: it is said to revolutionalize the computer science. I don't
- 3:25Speaker 1: know about a quantum computer, but you've heard of them. Um.
- 3:28Speaker 1: I've heard the term, but I don't know much else
- 3:31Speaker 1: about it other than that. Alright, So not a not
- 3:33Speaker 1: an impressive performance here by uc I Underground. That's right. Well, hey,
- 3:37Speaker 1: some of them understood it, right, at least most of
- 3:39Speaker 1: them have heard of it. The one guy like heard
- 3:42Speaker 1: about quantum computers. The moment I said the phrase, it
- 3:45Speaker 1: exploded in his brain. Like, what, I've never heard of
- 3:48Speaker 1: that until you mentioned it. I've never heard those two
- 3:51Speaker 1: words together. You've probably spend the next six hours googling
- 3:56Speaker 1: and reading about it. And maybe he's the next future
- 3:58Speaker 1: quantum computing genius. We have changed the course of human
- 4:01Speaker 1: history through this podcast or oh my god, it's possible.
- 4:04Speaker 1: But most people seem to have very little understanding of
- 4:06Speaker 1: what a quantum computer is. Um though, you know, somebody
- 4:10Speaker 1: out there had had some idea at least, so we
- 4:12Speaker 1: feel like this is a good topic for a podcast.
- 4:15Speaker 1: Let's clear out the weeds of everybody's understanding and make
- 4:18Speaker 1: sure everybody knows what we're talking about when we say
- 4:20Speaker 1: quantum computer. I mean everyone has heard of a computer,
- 4:23Speaker 1: but a quantum computer. That just sounds interesting, Right, What
- 4:27Speaker 1: do you what do you what did you think of
- 4:28Speaker 1: the first time you heard quantum computer? Do you think
- 4:30Speaker 1: like a tiny computer the size of an atom? What
- 4:33Speaker 1: did I think? I thought that it was? I think
- 4:35Speaker 1: I just had that good reaction. Also, it's like a
- 4:37Speaker 1: like a super new magic computer, right, Like I want
- 4:41Speaker 1: a quantum Ferrari. We just said for my quantum mortgage
- 4:46Speaker 1: to be paid first. I love how the word quantum
- 4:50Speaker 1: is just like taken on this magical mystical power, you know,
- 4:54Speaker 1: and it's not bad. There's like no nuance to quantum
- 4:57Speaker 1: that's bad. It's not like dark or dangerous. It's just
- 4:59Speaker 1: like the new, fancy, glittery, shiny version of something. The
- 5:03Speaker 1: weird thing is is that it's not a new word, right, Like,
- 5:06Speaker 1: it's a word that's been around for a hundred years nearly, right, Well,
- 5:10Speaker 1: it's been around for a long time and it's been
- 5:12Speaker 1: applied to this kind of thing for about a hundred years. Yeah,
- 5:14Speaker 1: quantum mechanics is almost a hundred years old. To the idea,
- 5:18Speaker 1: the very basic ideas of quantum mechanics, you know, that
- 5:20Speaker 1: the universe is chopped into pieces and not continuous. That's
- 5:24Speaker 1: not a very new idea, right, Well, let's break it down.
- 5:30Speaker 1: What does it mean when you say the word quantum,
- 5:33Speaker 1: like quantum physics or quantum particles? You know, what does
- 5:37Speaker 1: it mean? Well, the word basically just means portion or
- 5:40Speaker 1: packet or unit, you know, it's like a quantity, like, yeah,
- 5:44Speaker 1: quant quantity, quantum is that where it comes from? Yeah,
- 5:47Speaker 1: it's connected. Why I think Jorge just had a realization
- 5:50Speaker 1: and live right there on the podcast. Um, Yes, it's
- 5:54Speaker 1: related to quantities, right. It says things that are are
- 5:57Speaker 1: quantized are things that are made out of little atomic pieces,
- 6:01Speaker 1: things that can't be broken into smaller pieces. Right, So
- 6:05Speaker 1: like our money is quantized. We don't have money less
- 6:07Speaker 1: than a penny, right, you can't spend less than a penny.
- 6:09Speaker 1: That's the basic unit. Everything is built out of that.
- 6:13Speaker 1: And it's relevant to physics because it turns out the
- 6:15Speaker 1: universe is quantized, like particles are made out of smaller particles.
- 6:19Speaker 1: You can't have like half a particle or three quarter
- 6:21Speaker 1: of a particle. And energy levels are quantized, you know,
- 6:25Speaker 1: the way electrons move around in nucleus. They can't just
- 6:28Speaker 1: have like any arbitrary amount of energy, just like a
- 6:30Speaker 1: ladder of energy levels. They can be on and they
- 6:33Speaker 1: can't be in between those steps. But it kind of
- 6:35Speaker 1: means more than just the idea of chopping things up
- 6:39Speaker 1: into a little bit. It's really more about what the
- 6:42Speaker 1: world is like when you get down to those little
- 6:45Speaker 1: little little bits. Quantum physics means the physics of those
- 6:48Speaker 1: little little little particles, which is very different than the
- 6:51Speaker 1: physics of like, you know, a basketball or a baseball
- 6:55Speaker 1: that's right. Quantum. That's what quantum means. It's a little
- 6:57Speaker 1: bit bits and quantum mechanics or quantum physics that deals
- 7:01Speaker 1: with how those things interact with each other. And it
- 7:03Speaker 1: turns out that those little tiny bits of the universe
- 7:06Speaker 1: interact in ways that are very unfamiliar to us. There's
- 7:09Speaker 1: very little intuitive understanding we can grasp the way those
- 7:13Speaker 1: things work because they follow very different rules than the
- 7:16Speaker 1: things than baseballs and basketballs follow. They follow more probabilistic rules,
- 7:21Speaker 1: and and your intuition that you developed through observing the
- 7:24Speaker 1: way baseballs and basketballs moved through the air doesn't work
- 7:27Speaker 1: when you're talking about electrons or other little quantum particles
- 7:30Speaker 1: because they follow different rules. Yeah, and those different rules
- 7:34Speaker 1: lead to a very different kind of logic. You see,
- 7:36Speaker 1: in normal logic, you can say something like a switch
- 7:39Speaker 1: is either on or off, but not both, right, But
- 7:42Speaker 1: in quantum logic it's different, which is why quantum computing
- 7:46Speaker 1: turns out to also be different. Yeah, they don't behave
- 7:49Speaker 1: like they do the big things behave, right, Like if
- 7:52Speaker 1: you had a baseball the size of a quantum particle,
- 7:55Speaker 1: you can just bounce it off of a wall, That's right.
- 7:58Speaker 1: And the most important feature of these little quantum bits,
- 8:00Speaker 1: and the one that's gonna be relevant for quantum mechanics,
- 8:03Speaker 1: is that we don't know everything about them. Like a baseball,
- 8:07Speaker 1: you know everything you need to know. You know it's
- 8:09Speaker 1: direction and you know it's velocity. From that, you can
- 8:11Speaker 1: predict its future. If you know where it is and
- 8:13Speaker 1: where it's going, you know where it's going to be. Right.
- 8:16Speaker 1: For a quantum particle, like an electron, you can't observe
- 8:19Speaker 1: it directly, and so there's some uncertainty about where it is,
- 8:23Speaker 1: which means that it can be like here or it
- 8:25Speaker 1: can be there. But the crucial thing about a quantum
- 8:28Speaker 1: particle is it's not actually in one place or the other,
- 8:31Speaker 1: and you just don't know it. It has a probability
- 8:35Speaker 1: to be in both places. Our lack of knowledge about
- 8:37Speaker 1: it reflects the fact that it's location is not actually determined.
- 8:42Speaker 1: It's like it could be over here and it could
- 8:44Speaker 1: be over there, which means it's a little bit of both.
- 8:47Speaker 1: And that's what I mean when I say the act
- 8:49Speaker 1: in ways that are different from the ways that are
- 8:51Speaker 1: normal things interact. You know, a baseball is either here
- 8:54Speaker 1: or it's there, right, But when you get down to
- 8:56Speaker 1: that size, it doesn't look like like an electron doesn't
- 8:59Speaker 1: look like a little tiny baseball. Nobody knows what an
- 9:02Speaker 1: electron looks like. Yeah, like when you try to zoom
- 9:05Speaker 1: in and you zoom in, it just becomes fuzzy, right,
- 9:08Speaker 1: like you see this little fuzziness right. Well, that's a
- 9:11Speaker 1: whole other funny question, like what would an electron look like?
- 9:13Speaker 1: Because an electron is has zero size, right, zero volume,
- 9:17Speaker 1: and so it doesn't really look like anything. But about
- 9:20Speaker 1: the electrons fuzziness, we say the electron has a probability
- 9:25Speaker 1: to be in a few different places. That's the fuzziness.
- 9:27Speaker 1: But it's not determined before you ask. But when you
- 9:31Speaker 1: want to interact with the electron, like if you want
- 9:33Speaker 1: to measure where it is, then those probabilities collapse into
- 9:37Speaker 1: a specific outcome. We call that collapsing the wave function
- 9:40Speaker 1: because remember electrons are particles, but they're controlled by wave equations,
- 9:45Speaker 1: which determine the probability of being in various places, kind
- 9:50Speaker 1: of like if you're not looking at it, it's sort
- 9:52Speaker 1: of like a cloud almost, and then when you look
- 9:54Speaker 1: at it, then boom, it's a little point. That's right,
- 9:56Speaker 1: And this is the deep question of quantum mechanics that
- 9:59Speaker 1: that a lot of people do and understand. Most people
- 10:01Speaker 1: don't understand. I think maybe everybody doesn't understand. How does
- 10:05Speaker 1: that make any sense? Right? How does it make sense
- 10:07Speaker 1: that something can be in both places at once until
- 10:10Speaker 1: you ask look at it? How does it make sense
- 10:12Speaker 1: that you asking changes where it's going to be? Right?
- 10:16Speaker 1: It's it's it's a situation, and that's all. There's a
- 10:19Speaker 1: huge philosophical debate about that. You know, is it the
- 10:22Speaker 1: asking that makes a decide where it's it going to be?
- 10:24Speaker 1: Or does the universe split into two options where you know,
- 10:27Speaker 1: on one hand it's on the left and then the
- 10:29Speaker 1: other universe it's on the right. And different people argue
- 10:32Speaker 1: about this stuff for for decades and decades. So it's
- 10:35Speaker 1: certainly not something we can address in twenty minutes on
- 10:37Speaker 1: a podcast. But the thing you need to know to
- 10:39Speaker 1: understand quantum mechanics is that there's a probability for it
- 10:42Speaker 1: to be in one place or the other, and that
- 10:44Speaker 1: both probabilities exist simultaneously. So if I'm not if I'm
- 10:48Speaker 1: not looking at the electron, it looks like a little
- 10:50Speaker 1: fuzzy cloud and you're saying that cloud is it's it's
- 10:52Speaker 1: kind of like it's in all those places at the
- 10:54Speaker 1: same time with a certain probability. Yeah, I think the
- 10:58Speaker 1: most correct statement would say it has a probability to
- 11:01Speaker 1: be in all of those places. To say it actually
- 11:03Speaker 1: is in all those places, I mean you don't. It's
- 11:06Speaker 1: not actually anywhere. It just has a probability to be
- 11:09Speaker 1: those things. It's like the answer is not determined or known.
- 11:11Speaker 1: It's not like God has it written down on a
- 11:14Speaker 1: golden tablet somewhere. We just don't know. It's not actually anywhere.
- 11:17Speaker 1: It just has a probability to be this or that.
- 11:19Speaker 1: It's like it's like a die you haven't ruled yet.
- 11:22Speaker 1: It's not like it already is a four and you
- 11:23Speaker 1: just haven't looked yet. You haven't rolled the die, so
- 11:26Speaker 1: you don't There isn't an answer. The same way the
- 11:28Speaker 1: electron has a probability distribution to be in various situations,
- 11:32Speaker 1: but until you measure it, it's not in all of
- 11:35Speaker 1: those at the same time. It just has a probability
- 11:37Speaker 1: to be in those things. Man, So you're saying all
- 11:40Speaker 1: of us, all of our particles are if you get
- 11:43Speaker 1: down to that level, they're all unthrown die, yes, exactly,
- 11:49Speaker 1: until you interact with them and forces the universe to
- 11:52Speaker 1: throw the die. And that's one of the deep questions
- 11:54Speaker 1: about about econom mechanics, is like where's that die? Who's
- 11:57Speaker 1: doing those random number process you know? So when Einstein
- 12:00Speaker 1: famously said God doesn't play dice, it's kind of true.
- 12:04Speaker 1: It's like, really, things are all just unthrown dice. Yeah,
- 12:08Speaker 1: he didn't like that description of it at all. He
- 12:10Speaker 1: really believed that the dice was already thrown. We just
- 12:13Speaker 1: didn't know the answer, right, That's a big difference. That's
- 12:17Speaker 1: a big difference. And then eventually they proved that actually
- 12:20Speaker 1: the dice is not yet thrown until you ask the question.
- 12:24Speaker 1: And that's a whole other podcast. We can talk about
- 12:26Speaker 1: how they proved that. It's called the bell inequality, and
- 12:29Speaker 1: it's a whole other topic we can get into. But
- 12:31Speaker 1: I think for today's episode, people just need to understand
- 12:34Speaker 1: that a quantum particle can be different from a classical particle,
- 12:37Speaker 1: from like a thing you're you're understand because it can
- 12:39Speaker 1: be kind of a probability to be in two different
- 12:42Speaker 1: situations at the same time. Okay, So that's that's what
- 12:46Speaker 1: quantum means. And now let's get into quantum computers. But
- 12:50Speaker 1: first let's take a break, all right. So that's what
- 13:05Speaker 1: quantum means. It's like the how the world behaves when
- 13:07Speaker 1: you get down to those little tiny pits of the universe,
- 13:10Speaker 1: which is totally different and kind of fuzzy and probabilistic. Um.
- 13:14Speaker 1: So now let's combined it with the word everyone knows,
- 13:16Speaker 1: which is a computer. So what does it mean to
- 13:18Speaker 1: like have a quantum computer. Yeah, so the idea there is,
- 13:23Speaker 1: let's build a computer. Let's build out of pieces that
- 13:25Speaker 1: can do these weird things, because then maybe you can
- 13:28Speaker 1: solve problems that are otherwise hard. I mean, I think
- 13:32Speaker 1: it's also important to think about how a normal computer works,
- 13:34Speaker 1: and like what does it mean to say a computer
- 13:37Speaker 1: before we think about what is a quantum computer um?
- 13:39Speaker 1: And for those of you out there listening, you probably
- 13:42Speaker 1: know what a computer is. You have one in your
- 13:43Speaker 1: in your office or whatever. You're banging on it right
- 13:45Speaker 1: you download stuff and play Mario card or whatever. But
- 13:49Speaker 1: what it's doing on the inside is really is that
- 13:51Speaker 1: it's doing calculations. Right, a program on your computer or
- 13:55Speaker 1: something that does a calculation, Maybe that calculation is how
- 13:58Speaker 1: do I draw Mario card on the screen? Or you know,
- 14:00Speaker 1: how do I predict this the trajectory of this cannonball
- 14:03Speaker 1: that I want to fire at my opponent's castle or whatever.
- 14:06Speaker 1: In the end, it's doing a calculation. And the way
- 14:08Speaker 1: it does that calculation is that it represents the problem
- 14:11Speaker 1: that needs to be solved in terms of a bunch
- 14:13Speaker 1: of numbers, because all the computer really, in the end
- 14:16Speaker 1: is doing is manipulating numbers. I mean the memory and
- 14:19Speaker 1: your computer is a bunch of ones and zeros. That's
- 14:22Speaker 1: what we call bits, and those represent a number. And
- 14:25Speaker 1: a computer is useful when you can take a problem
- 14:27Speaker 1: you want to solve and represent it in a way
- 14:30Speaker 1: that the computer knows how to solve it right. Right, So,
- 14:33Speaker 1: for example, how do I hit my baseball in a
- 14:35Speaker 1: way that goes over the fence? What angle is the
- 14:37Speaker 1: best angle to do that? Right? Do? You want to
- 14:39Speaker 1: solve that problem? But you first have to break it
- 14:41Speaker 1: down into math and then have your computer basically act
- 14:45Speaker 1: as a calculator and crunch those math equations. And the
- 14:49Speaker 1: kind of math you use to break it down depends
- 14:52Speaker 1: on the kind of computer you have and the kind
- 14:53Speaker 1: of calculations that computer can do. So the kind of
- 14:57Speaker 1: computers we use, classical computers have ones in zeros, and
- 15:00Speaker 1: all they can do are a few basic logical operations
- 15:03Speaker 1: on those ones and zeros they can do and they
- 15:06Speaker 1: can do or they can do x or or nand
- 15:09Speaker 1: and you can build those up to do all sorts
- 15:11Speaker 1: of more complicated things like addition or subtraction or Mario
- 15:15Speaker 1: Kard and other video games. Right, And the way it
- 15:17Speaker 1: does that you're saying, is that it takes the problem,
- 15:20Speaker 1: you know, whereas Mario and Mario card or how much
- 15:24Speaker 1: is tu plus two and then breaks it down into bits,
- 15:28Speaker 1: which is are which are ones and zeros. So everything that,
- 15:31Speaker 1: like most of our language, all the math that we
- 15:33Speaker 1: know about, all that can be essentially eventually breaking down
- 15:37Speaker 1: into ones and zeros. That's right, and we'll see later.
- 15:41Speaker 1: The quantum computers don't use ones and zeros, and they
- 15:45Speaker 1: have a different kind of logic, so they can solve
- 15:47Speaker 1: different kinds of problems. And in the end, it's all
- 15:50Speaker 1: about efficiency. Which kind of computer is faster at which
- 15:54Speaker 1: kind of problem running Mario cards or breaking into the
- 15:57Speaker 1: n s A does it take one second or does
- 15:59Speaker 1: it take a build in years? Well, let's talk a
- 16:01Speaker 1: bit about why you want to break it down into
- 16:03Speaker 1: ones and zeros, right, Like, why is why is that important?
- 16:05Speaker 1: Because once you break it down to ones and zeros,
- 16:07Speaker 1: then even like a simple computer can then add and
- 16:11Speaker 1: subtract those, Right Like, if you can break the whole
- 16:14Speaker 1: world into ones and zeros and everything into simple operations
- 16:18Speaker 1: like plus or minus, then you can have a machine
- 16:21Speaker 1: basically do it. Yeah, you can do simple logic operations
- 16:24Speaker 1: on ones and zeros, and there's a theorem that shows
- 16:27Speaker 1: that you can combine those to do any logical operation.
- 16:31Speaker 1: So if you combine enough of those together, you can
- 16:33Speaker 1: have any operation on your inputs. That doesn't mean necessarily
- 16:37Speaker 1: the best way to do any problem. Like you might say, hey,
- 16:41Speaker 1: I want to know where this baseball is going to go.
- 16:43Speaker 1: So one way to do that is build a computer,
- 16:46Speaker 1: have inside the computer a perfect model of how the
- 16:48Speaker 1: baseball works, and do the calculation. Another way to do
- 16:51Speaker 1: that is just hit the baseball. Right from that perspective,
- 16:55Speaker 1: like a baseball is a computer that calculates one thing,
- 16:58Speaker 1: how far does this base ball go? Right. It's very powerful,
- 17:02Speaker 1: it's very fast, but it only does that one thing.
- 17:05Speaker 1: The advantage of a classical computer with ones and zeros
- 17:08Speaker 1: is that it can solve lots of different kinds of problems.
- 17:11Speaker 1: They can do your baseball problem, and they can do
- 17:12Speaker 1: Mario Kart right, Okay, So that's the basis of regular computers,
- 17:17Speaker 1: Like even the computer and the phone that people are
- 17:20Speaker 1: listening to this podcast on. It's taking our voices, breaking
- 17:23Speaker 1: them down to one and zeros, chopping those up, mixing
- 17:26Speaker 1: them up, and then basically recreating our voices and flappy bird. Right,
- 17:32Speaker 1: that's right exactly. And so what is a quantum computer. Well,
- 17:35Speaker 1: a quantum computer is a computer built out of different
- 17:38Speaker 1: little pieces. Right. Whereas the normal computer uses ones and zeros,
- 17:41Speaker 1: a quantum computer uses quantum mechanical objects that have different properties.
- 17:46Speaker 1: They can be zero, they can be one, or they
- 17:48Speaker 1: can be some combination of zero and one. The way
- 17:51Speaker 1: a quantum particle is like, maybe it's here, maybe it's there.
- 17:55Speaker 1: A quantum bit, what we call a cube bit, is
- 17:59Speaker 1: maybe zero, maybe one, has a probability be zero and
- 18:02Speaker 1: a probability to be one. And again it's not secretly
- 18:05Speaker 1: zero and secretly one. Like a dice you've already rolled
- 18:08Speaker 1: and you just haven't looked at. It's not determined. It's
- 18:11Speaker 1: some combination of zero and some combination of Wow. I see,
- 18:15Speaker 1: what if he had a computer that was fundamental little
- 18:18Speaker 1: processing unit is not just black and white, but maybe
- 18:21Speaker 1: like some something in between the shades of gray, shades
- 18:24Speaker 1: of great, Like what would happen if you add and
- 18:26Speaker 1: mix those up and try to make calculations with things
- 18:29Speaker 1: that can be not just ones and zeros. Yeah, And
- 18:32Speaker 1: so what happens is you get a very different kind
- 18:34Speaker 1: of computer, one that's much better at things that classical
- 18:38Speaker 1: computers find difficult, but also is worse at some things
- 18:42Speaker 1: that classical computers find very easy. Like what, Yeah, just
- 18:46Speaker 1: the way, like a baseball is a good computer for
- 18:49Speaker 1: calculating what a baseball does, it's not very good at
- 18:51Speaker 1: organizing your recipes or doing Mario Kart, right. A quantum
- 18:55Speaker 1: computer is built differently, it's but it still runs in
- 18:58Speaker 1: the physical universe, you know all the things. These computers
- 19:00Speaker 1: are just ways to manipulate physical objects to represent calculations
- 19:05Speaker 1: that we want done. That's what a computer is, right,
- 19:08Speaker 1: And sometimes the classical computer is really good at that.
- 19:10Speaker 1: A quantum computer, because it's made out of different things,
- 19:13Speaker 1: is good at at different kind of calculations. It's like
- 19:16Speaker 1: do you want to build your house out of wood
- 19:18Speaker 1: or out of brick? Well, you know wood is good
- 19:20Speaker 1: for some things and brick is good for other things.
- 19:22Speaker 1: You get a pretty different kind of house. Um, so
- 19:25Speaker 1: they're pretty different, but you know they're related, but they
- 19:27Speaker 1: have different strengths, and those strengths and weaknesses come from
- 19:30Speaker 1: the essential differences in how those bits work. Okay, so
- 19:34Speaker 1: let's get into some of these differences from where they
- 19:37Speaker 1: come from. So, like, what's happening now instead of when
- 19:39Speaker 1: I'm mixing these cube bits that's what they're called, right,
- 19:42Speaker 1: the quantum bits, they're called cube bids. Yeah, Um, so
- 19:45Speaker 1: what's happened? What's happening when I mix them? Like if
- 19:47Speaker 1: I do a calculation with these fuzzy bits. Right, So
- 19:50Speaker 1: there's really two things you have to understand about how
- 19:52Speaker 1: quantum calculations work. First of all, is that you when
- 19:56Speaker 1: you have two cube bits, they're not independent. It't Okay,
- 20:00Speaker 1: you have two bits and a computer, then they can
- 20:02Speaker 1: have four different states zero zero, zero, one, one zero
- 20:07Speaker 1: or one one. Right, So two bits means two to
- 20:10Speaker 1: the end different states. But you really just need two
- 20:12Speaker 1: numbers to specify that, right, you need the first number
- 20:15Speaker 1: in the second number totally specifies the configuration. So it's
- 20:18Speaker 1: really just two bits means two pieces of information for
- 20:21Speaker 1: a classical computer. That's because those two bits are totally independent.
- 20:25Speaker 1: For a quantum computer, the cubits are not independent. They're entangled, okay,
- 20:29Speaker 1: so they're connected to each other. And so you can
- 20:32Speaker 1: have different states. You can have zero zero, you can
- 20:36Speaker 1: have one one. You can have some mixture of one
- 20:38Speaker 1: zero and zero one. You can have other mixtures of zero, zero,
- 20:41Speaker 1: zero one. There's four combinations there, and what you get
- 20:46Speaker 1: are you need four piece of information to specify which
- 20:49Speaker 1: state you're in. You have simultaneously some probability to being
- 20:53Speaker 1: zero zero, some probability to being zero one, some probability
- 20:56Speaker 1: being one zero, and some probability being one one. So
- 21:00Speaker 1: two cubits means four pieces of information needed to store
- 21:04Speaker 1: the configuration. So two to the end pieces of information
- 21:09Speaker 1: from two cubits, right, Whereas in a classical computer, if
- 21:12Speaker 1: there are end bits, there are two to the end
- 21:15Speaker 1: different states, but you only need end pieces of information
- 21:18Speaker 1: to specify the state. So if there are two bits, right,
- 21:22Speaker 1: then there are four different states that can be in,
- 21:24Speaker 1: but you only need two pieces of information to tell
- 21:27Speaker 1: you exactly which state it's in, and a quantum computer
- 21:31Speaker 1: with two cubits you need to specify the probability of
- 21:34Speaker 1: each of the two to the end different states it
- 21:37Speaker 1: can be in at the same time, which means you
- 21:39Speaker 1: need four pieces of information to totally kneel down the
- 21:42Speaker 1: state of a two cubit quantum computer, right, because you're
- 21:46Speaker 1: mixing two things that are that could be a wide
- 21:49Speaker 1: range of things, right, that's right, because you not just
- 21:51Speaker 1: have the things, you have the relationships between them. Right,
- 21:54Speaker 1: So as the number of things grows you have like
- 21:57Speaker 1: thirty cubits, then you not just have is the state
- 22:00Speaker 1: of this bit? You have the state what is the
- 22:02Speaker 1: relative state of these two things? How closely connected are they?
- 22:05Speaker 1: So if you have, for example, thirty cubits, you need
- 22:08Speaker 1: to to the thirty numbers to specify the state of
- 22:12Speaker 1: that quantum system. And that that's very powerful because you
- 22:16Speaker 1: know how many particles are there in the universe. There's
- 22:19Speaker 1: like two to the three hundred particles in the universe.
- 22:23Speaker 1: So a quantum computer that had three hundred cubits in it, right,
- 22:27Speaker 1: it has as much information as like all the numbers
- 22:30Speaker 1: of the particles in the entire universe. Boomation. Wait, that
- 22:38Speaker 1: just means that a simple operation in the quantum computer
- 22:42Speaker 1: can represent a much bigger, sort of richer result. Is
- 22:47Speaker 1: that kind of what it means? Like, there's two different
- 22:50Speaker 1: there's two pieces to a computer. There's the information in it,
- 22:53Speaker 1: on the operations you can do right right now, we're
- 22:55Speaker 1: just talking about the information in it. But yes, a
- 22:58Speaker 1: smaller quantum computer can represent much more information with a
- 23:01Speaker 1: smaller number of bits. I see. So like three hundred
- 23:04Speaker 1: regular bids from a regular computer can maybe store the
- 23:09Speaker 1: yes or no voting information from three hundred people, right, yeah,
- 23:13Speaker 1: whereas three hundred quantum bids can store the information from
- 23:18Speaker 1: basically the entire universe. Now, let's be careful not to
- 23:21Speaker 1: oversell it. It takes two to the three hundred numbers
- 23:25Speaker 1: to specify the state of three d cubits, that's right,
- 23:28Speaker 1: But that doesn't mean that a three hundred cubic computer
- 23:32Speaker 1: can usefully store two to the three hundred pieces of information, because,
- 23:36Speaker 1: as we will talk about later, cubits have a very
- 23:39Speaker 1: rich internal state, but the information is not as accessible
- 23:43Speaker 1: as it is with classical bits. Okay, like with the
- 23:47Speaker 1: electron that has lots of different probabilities. You only measure
- 23:50Speaker 1: it in one of them. So if all the particles
- 23:53Speaker 1: in the universe got together to vote on something, you'd
- 23:55Speaker 1: still need a pretty big computer. Who wants to exist
- 23:59Speaker 1: crazy he thinks Jorge should have another banana. Yes or no,
- 24:07Speaker 1: that's just the state of the system. Right. Then there's
- 24:09Speaker 1: the operation, and there's a there's another sort of magical
- 24:12Speaker 1: thing that happens. Oh, I shouldn't say magic, because none
- 24:14Speaker 1: of it's magical. It seems like magic because it's so weird,
- 24:18Speaker 1: but it's it's actually physics, right, um, And that's what
- 24:21Speaker 1: happens when you do in operation. You know, in a
- 24:23Speaker 1: normal computer, your operations like math. I'm gonna add one
- 24:27Speaker 1: and one and see what it happens when I get
- 24:28Speaker 1: to what happens when you do a quantum calculation. Remember
- 24:32Speaker 1: that the states can be in the superposition of different states, right,
- 24:36Speaker 1: It's like in state zero and sixty percent in state one.
- 24:39Speaker 1: Like it can be white in seventy percent black. That's
- 24:44Speaker 1: like one cuban right, right. And it's not that it
- 24:46Speaker 1: has the shade of gray which is white and black.
- 24:50Speaker 1: It's has a probability to be white. And a probability
- 24:53Speaker 1: to be black. If you look at it, you can
- 24:54Speaker 1: only see white or black. You'll never see gray. Oh
- 24:57Speaker 1: I see. But seventy of the time you'll see it
- 25:00Speaker 1: black and you'll see it as white exactly. Oh I see.
- 25:03Speaker 1: So it's not gray, it's just as a probability of
- 25:06Speaker 1: being black or white. That's right. When you do an operation,
- 25:09Speaker 1: you don't it doesn't collapse to black or white and
- 25:12Speaker 1: then do the operation. It does the operations on the
- 25:15Speaker 1: probabilities themselves. Okay, so it have you have the thirty
- 25:20Speaker 1: percent of zero and thirty percent of one, or thirty
- 25:22Speaker 1: percent of white and black or whatever, and you do
- 25:26Speaker 1: the operation. It does the operation on the zero and
- 25:28Speaker 1: it does the operation on the one at the same time.
- 25:32Speaker 1: So it keeps both probabilities and it evolves them forward
- 25:35Speaker 1: in time using quantum mechanics. So it's like doing two
- 25:38Speaker 1: operations at once. Is it kind of like as we
- 25:41Speaker 1: were saying earlier, a quantum bid is kind of like
- 25:43Speaker 1: an unthrown dice, right, So if you it's like, what
- 25:47Speaker 1: happens if I multiply this die that I haven't thrown
- 25:50Speaker 1: times this died that I also haven't thrown what's the
- 25:53Speaker 1: result exactly, And it needs to consider, well, you know
- 25:56Speaker 1: it might be too and so what would happen if
- 25:58Speaker 1: it were too okay? And what would happen if it
- 26:00Speaker 1: was four? And what would happen if it were six?
- 26:02Speaker 1: And it propagates all those forward simultaneously because the quantum
- 26:05Speaker 1: state reflects all those probabilities, and the quantum operation moves
- 26:10Speaker 1: all those operations, all those probabilities forward in time and
- 26:13Speaker 1: effect doing all of those in parallel. So you have
- 26:16Speaker 1: a massive amount of information density, plus you have massive
- 26:20Speaker 1: parallelism to do these conversations. It keeps all of those
- 26:24Speaker 1: possibilities inside of this new combination of information, like it's
- 26:29Speaker 1: like it has all the possibilities thwart into this little
- 26:32Speaker 1: imaginary multiplication. That's right. And then the new state is
- 26:35Speaker 1: some different arrangement of those possibilities, right, but it reflects
- 26:39Speaker 1: all the probabilities in the previous state. Now here's an
- 26:42Speaker 1: important place that a lot of people misunderstanding quantum computers.
- 26:45Speaker 1: A lot of people say, oh, quantum computers are super
- 26:47Speaker 1: powerful because they're basically infinitely parallel. You can do like
- 26:51Speaker 1: a million calculations in parallel because of quantum mechanics. Meaning
- 26:54Speaker 1: it keeps all these probabilities sort of in its head. Yeah,
- 26:58Speaker 1: and it sort of seems like magic, like you know,
- 27:01Speaker 1: I can try um, I can break passwords, because I
- 27:04Speaker 1: can try millions of things all at the same time. Well,
- 27:07Speaker 1: that's not exactly true. I mean there's some truth to it,
- 27:10Speaker 1: because there is parallelism in the quantum world because you're
- 27:13Speaker 1: keeping all these probabilities intact and you're operating on them,
- 27:16Speaker 1: and you're moving them all fullward simultaneously. The problem is
- 27:20Speaker 1: when you get the answer. Okay, you want to say, okay,
- 27:23Speaker 1: I have my quantum state, I did my calculation. Now
- 27:26Speaker 1: I want the answer, right, how do you measure that?
- 27:28Speaker 1: When when you measure it, you're gonna get your black
- 27:30Speaker 1: or your white. You're gonna get your zero or one.
- 27:32Speaker 1: You don't get all the information. You don't get all
- 27:34Speaker 1: the probabilities. You just get one answer. You roll the dice,
- 27:38Speaker 1: you get your four or you get your six, and
- 27:39Speaker 1: you look at it. You just get a number. You
- 27:41Speaker 1: just get a number. Yeah, And so a lot of
- 27:44Speaker 1: that information is lost, right, huge amounts of that information
- 27:47Speaker 1: is lost when you want to get the output from
- 27:49Speaker 1: the quantum computer. And so that's why it's not really
- 27:52Speaker 1: fair to say that it's like this huge massive parallelism.
- 27:55Speaker 1: There is some parallelism there, and you can't exploit it
- 27:57Speaker 1: to do certain kinds of calculations, but in the end,
- 28:00Speaker 1: most of the information is thrown away when you get
- 28:02Speaker 1: the answer. I see, it's a much harder problem than
- 28:05Speaker 1: you think. Kind of yeah, exactly, And so we've built
- 28:08Speaker 1: this new thing. It's a bunch of um, you know,
- 28:11Speaker 1: states that can be black or white, and they're all
- 28:13Speaker 1: entangled or whatever. And then you can ask, can I
- 28:15Speaker 1: use this to do anything? Can I represents some calculation
- 28:19Speaker 1: I have in a way that this physical thing I built,
- 28:22Speaker 1: this entangled combination of quantum states, can effectively solve my problem,
- 28:28Speaker 1: right the way classical computer can by representing in terms
- 28:31Speaker 1: of math and zeros and ones or baseball, can solve
- 28:34Speaker 1: that one single problem. Right, Can a quantum computer solve
- 28:38Speaker 1: useful problems? Um? That's the next question. I see. Well,
- 28:42Speaker 1: let's um, let's get into that. But let's take a
- 28:45Speaker 1: quick break. Okay, So let's say that I build a
- 29:00Speaker 1: quantum computer, and you're saying it's not gonna be great
- 29:03Speaker 1: for playing Mario Kart unless you're playing quantum Mario card
- 29:07Speaker 1: quantum Marit card is awesome, Yeah, because you're both like
- 29:10Speaker 1: a dead and alive at the same time. Right, But
- 29:12Speaker 1: it wouldn't be useful for like, you know, playing flabby
- 29:15Speaker 1: Bird on your phone or surfing Facebook. So what what
- 29:18Speaker 1: would it be good of? What are people excited about
- 29:20Speaker 1: making quantum computers? Yeah, well, it took a while for
- 29:23Speaker 1: people to figure this out. You know, people thought about
- 29:25Speaker 1: the idea of quantum computers a few decades ago, like, okay, um,
- 29:29Speaker 1: the you know, the world is built in a quantum way,
- 29:31Speaker 1: maybe our computer should be quantum. And then it took
- 29:34Speaker 1: a few decades for people to come up with ideas
- 29:35Speaker 1: for how to actually use them. Like, let me take
- 29:37Speaker 1: a problem I have mapping into something that can be
- 29:41Speaker 1: represented with a quantum state, so that when I do
- 29:44Speaker 1: this experiment on it, do these operations on it, the
- 29:47Speaker 1: output of that experiment is basically answered to my question.
- 29:51Speaker 1: Remember that's sort of what we're thinking of as it
- 29:53Speaker 1: as a computer, right, because you can't just pretend to
- 29:56Speaker 1: be making a quantum computer. You actually have to build
- 29:58Speaker 1: it out of quantum things, things that are quantum, like
- 30:02Speaker 1: you know what I mean, Like I can I can't
- 30:03Speaker 1: just like add all these probabilities in my on my
- 30:05Speaker 1: regular computer, Like the computer itself has to be made
- 30:09Speaker 1: out of quantum things, right, Well, you know everything in
- 30:11Speaker 1: the universe is made out of quantum things, right, so
- 30:13Speaker 1: in that sense, you are a quantum computer. Or hey,
- 30:16Speaker 1: that's right, Yeah, I am stacular um. And so one
- 30:21Speaker 1: of the first things that people figured out was that
- 30:24Speaker 1: there's an algorithm you can write down for factorizing big
- 30:28Speaker 1: integers that says, take an integer and break it into
- 30:32Speaker 1: its factors. You know, like fifteen is five times three.
- 30:35Speaker 1: That's obvious, but what if you had a really big number.
- 30:38Speaker 1: It's hard to necessarily know how to break down you know,
- 30:40Speaker 1: one to four, seven, eight, ten into all of its factors.
- 30:44Speaker 1: It's a hard, hard thing. It takes a while to do.
- 30:47Speaker 1: You mean, like thirty can be five times six, where
- 30:50Speaker 1: it can be three times ten, right, yeah, Well you
- 30:52Speaker 1: want to break it down to all of its fundamental factors,
- 30:54Speaker 1: and so thirty is two times three times five. Right,
- 30:57Speaker 1: there's one unique set of factors for every integer um
- 31:02Speaker 1: and that's not easy to do, right for big numbers,
- 31:05Speaker 1: it could take a while because you basically just have
- 31:06Speaker 1: to check them. And this some slightly more clever algorithms
- 31:09Speaker 1: using normal computers. But normal computers it takes a long
- 31:11Speaker 1: time for them to do this because they have to
- 31:13Speaker 1: cycle through all the different possible You mean, like if
- 31:16Speaker 1: I told you, like million, three hundred four thousand, seven
- 31:21Speaker 1: dred and ninety nine, tell me all the numbers that
- 31:23Speaker 1: can multiply into that number exactly, that would be a
- 31:25Speaker 1: hard problem. May be a hard problem for me, and
- 31:27Speaker 1: uh a slow problem for a classical computer. But there
- 31:30Speaker 1: was a guy who figured out how to write an
- 31:33Speaker 1: algorithm to use these quantum states how to represent that
- 31:35Speaker 1: problem on a quantum computer, right, so that you can
- 31:39Speaker 1: manipulate that computer and out out get the answer. And
- 31:43Speaker 1: the way he did it, the algorithm that he came
- 31:45Speaker 1: up with is much much faster on a quantum computer
- 31:48Speaker 1: than on a normal computer, because in a sense, it's
- 31:51Speaker 1: using the parallelism. It's like, let me represent all this number,
- 31:54Speaker 1: how to build this number in lots of different ways
- 31:56Speaker 1: and then push all those forwards simultaneously, right, And so
- 32:00Speaker 1: he came up with an algorithm to do this. And
- 32:02Speaker 1: this is a big deal because the fact that this
- 32:05Speaker 1: is really hard for normal computers is the basis of
- 32:08Speaker 1: a lot of modern cryptography, meaning like how passwords are encoded,
- 32:14Speaker 1: that they use this idea of factoring large numbers. That's right.
- 32:18Speaker 1: If you can instantly factorize a large number, then you
- 32:22Speaker 1: can break a lot of modern cryptography. You can get
- 32:24Speaker 1: into the Department of Defense and the I R. S
- 32:27Speaker 1: and all that stuff, because all of those things, their cryptography,
- 32:31Speaker 1: their their protection, their their cyber protection, assumes that it
- 32:35Speaker 1: would take a long time to factorize a large number.
- 32:39Speaker 1: Cryptography is based on the idea that let's find problems
- 32:41Speaker 1: that are hard to solve but easy to check, right, Like,
- 32:44Speaker 1: if you give me a big number and you asked
- 32:46Speaker 1: me to find the factors, it might be take me
- 32:48Speaker 1: a long time to find them, but once I had them,
- 32:50Speaker 1: I could verify very quickly that they were correct. It
- 32:53Speaker 1: just had to together, do I get the right answer,
- 32:55Speaker 1: Like it's hard to get two times three times five
- 32:57Speaker 1: from thirty, but it's easy to verify that two times
- 33:00Speaker 1: street terms five is equal to yeah, exactly. And so
- 33:04Speaker 1: if you can find a faster way to do these things,
- 33:07Speaker 1: then you break this assumption that's in most modern cryptography.
- 33:10Speaker 1: Not all, but most modern cryptography is based on the
- 33:12Speaker 1: idea that these things are hard to find but easy
- 33:15Speaker 1: to check. So quantum computers in theory can do this
- 33:19Speaker 1: much much faster because of the way they're constructed. So again,
- 33:22Speaker 1: they're better at some problems, like specialized problems, not necessarily
- 33:25Speaker 1: better at everything though, right, not that I would ever
- 33:27Speaker 1: have any need to break into the I R S
- 33:29Speaker 1: or anything like that. Not it's clear in case there's
- 33:34Speaker 1: any auditors listening here. But so how far away are
- 33:42Speaker 1: we from getting there? Like, what's the current state of
- 33:46Speaker 1: the art in terms of making quantum computers. We have
- 33:49Speaker 1: quantum computers. People have built cubits, individual ones, and they
- 33:53Speaker 1: built sets of cubits together. Um, you know, they're up
- 33:56Speaker 1: to probably by the time this podcast comes out, of
- 34:00Speaker 1: the numbers will be irrelevant, but you know, they're ten
- 34:02Speaker 1: cubic computers out there, fifteen cubic computers. There are even
- 34:05Speaker 1: ones you can access online. IBM has one that's connected
- 34:08Speaker 1: to the web, meaning you can talk to that. This
- 34:11Speaker 1: quantum com computerly have you can ask it questions. Yeah,
- 34:14Speaker 1: but it's hard because you have to get these cubits
- 34:16Speaker 1: built and then you have to get them to be stable,
- 34:19Speaker 1: and sometimes these things fall apart. I mean, the basic
- 34:22Speaker 1: principle of a quantum computer works if it's in isolation,
- 34:26Speaker 1: but no computer is really in isolation. Interacts with the
- 34:28Speaker 1: environment and so it gets messed up. And so these
- 34:31Speaker 1: things are really finicky. There's not they're not easy to build,
- 34:34Speaker 1: and so we're still getting good at building the bits.
- 34:37Speaker 1: Like if you look at it will collapse into black
- 34:39Speaker 1: or white, so you have to really protect it from
- 34:41Speaker 1: anyone looking at your quantum computer until you actually want
- 34:44Speaker 1: the answer exactly. Yeah, So technically these things are really tricky,
- 34:48Speaker 1: but you know, technical problems get solved, and when there's
- 34:51Speaker 1: a lot of money, it's stakes a lot of people
- 34:52Speaker 1: work on them. And so I think quantum computers are
- 34:54Speaker 1: going to come pretty rapidly and get larger and larger
- 34:57Speaker 1: and more complicated. And so you know, we're at the
- 35:00Speaker 1: point where we have ten fifteen cubic computers. They don't
- 35:03Speaker 1: last for very long, so you can't do long complicated calculations,
- 35:06Speaker 1: and they're huge, right, Like they take up the space
- 35:08Speaker 1: of our room the way classical computers used to. You know,
- 35:11Speaker 1: you have a little picture a classical computer from nineteen
- 35:13Speaker 1: sixty It could like do less than your iPhone and
- 35:16Speaker 1: it filled up a whole room. Right, Well, you might
- 35:19Speaker 1: want to have a quantum computer in your phone, but
- 35:22Speaker 1: like maybe right in fifty years, Yeah, perhaps if you
- 35:25Speaker 1: needed to do that kind of stuff. Um, you know,
- 35:27Speaker 1: if I if I pooh pooh the applications of quantum computers,
- 35:29Speaker 1: then I risk going down in history. Is like one
- 35:31Speaker 1: of those guys who said computers have a very specialized use.
- 35:34Speaker 1: You might sell five or six worldwide. Nobody can ever
- 35:38Speaker 1: predict how these things are going to change the side
- 35:40Speaker 1: and how people will think to use them. Nobody wants
- 35:42Speaker 1: to be that guy. No one wants to be that guy, right,
- 35:45Speaker 1: But yeah, I think the future holds a big promise
- 35:47Speaker 1: for quantum computers, and I think they'll crack open new
- 35:50Speaker 1: kinds of problems that were hard before um. So far,
- 35:53Speaker 1: there's sort of limited set of problems and quantum computers
- 35:55Speaker 1: can solve. It's like it's as a new toy and
- 35:57Speaker 1: we're trying to figure out exactly how to use it
- 35:59Speaker 1: to definitely, you fun kind of thing. This is are
- 36:02Speaker 1: having fun putting together. But it's not like it's can
- 36:04Speaker 1: speed up every problem. Some people think, oh, quantum computers
- 36:07Speaker 1: make everything faster. That's not the case. So it's not
- 36:10Speaker 1: gonna be like a quantum lead. It will be more
- 36:13Speaker 1: like a quantum skill. Are you saying it would be
- 36:15Speaker 1: more like a quantum massage whatever that means? Oh my gosh. Well,
- 36:21Speaker 1: I hope you guys enjoyed this deep dive into quantum computers. Yeah.
- 36:25Speaker 1: And if you have questions about what we said and
- 36:27Speaker 1: you didn't understand it, please send us feedback to feedback
- 36:31Speaker 1: at Daniel and Jorge dot com. And if you have
- 36:33Speaker 1: another question you think we we would take a part
- 36:36Speaker 1: nicely you'd like to hear us talk about, send that
- 36:37Speaker 1: to us as well. Or if you just want Daniel
- 36:39Speaker 1: to give you a massage, just write at quantum Massage
- 36:43Speaker 1: at Daniel Jorge dot com. That's right, I'll give you
- 36:47Speaker 1: one bit of a massage, one quantum bit. All right.
- 36:51Speaker 1: Thanks everyone for listening and tune in next time. See
- 36:54Speaker 1: you next time. If you still have a question after
- 37:04Speaker 1: listening to all these explanations, please drop us a line.
- 37:07Speaker 1: We'd love to hear from you. You can find us
- 37:09Speaker 1: at Facebook, Twitter, and Instagram at Daniel and Jorge that's
- 37:13Speaker 1: one word, or email us at feedback at Daniel and
- 37:17Speaker 1: Jorge dot com.