Latest / Daniel and Kelly’s Extraordinary Universe / Can you entangle three particles?
Transcript
- 0:07Speaker 1: It sure feels like a classical universe out there. Things
- 0:11Speaker 1: move in paths, they don't seem to be uncertain. Everything
- 0:15Speaker 1: I know about has a location and a velocity, and
- 0:18Speaker 1: there doesn't seem to be any weird quantum mechanical effects
- 0:22Speaker 1: going on. And yet we're told that's wrong. We're told
- 0:26Speaker 1: that the deeper substrate of reality operates according to different rules,
- 0:31Speaker 1: that things are not determined until you measure them, that
- 0:34Speaker 1: they can be in a superposition, and that there's a
- 0:36Speaker 1: true randomness to the universe. That feels weird, that feels alien,
- 0:41Speaker 1: that feels counterintuitive. And so, as curious people, we want
- 0:46Speaker 1: to know, how do you know? How could you tell?
- 0:49Speaker 1: Often these things are hidden behind weird obstacles. Like, you
- 0:53Speaker 1: can't see things when they're superpositioned. You could just measure
- 0:56Speaker 1: them and get an outcome. That's unsatisfying. And the usual
- 1:00Speaker 1: story is a series of experiments thought up by John
- 1:03Speaker 1: Bell to prove that particles actually are determined randomly. that
- 1:08Speaker 1: there's no local hidden information carried along with the particles
- 1:12Speaker 1: that quietly determines what happens. But even these are still
- 1:16Speaker 1: quite unsatisfying, because the answer to those experiments is in
- 1:21Speaker 1: the patterns and the correlations. There's no smoking gun that says, here,
- 1:25Speaker 1: this one experiment proves that quantum mechanics is a description
- 1:29Speaker 1: of reality. And today on the pod, we're going to
- 1:32Speaker 1: talk about an even more subtle, more complicated experiment that
- 1:36Speaker 1: requires entangling three particles simultaneously and trying to get them
- 1:42Speaker 1: to flash a series of lights in a certain pattern,
- 1:45Speaker 1: which actually does definitively prove that quantum mechanics is the
- 1:50Speaker 1: way our universe works. It provides the smoking gun you've
- 1:54Speaker 1: always wanted. Welcome to Daniel and Kelly's Extraordinarily Quantum Universe.
- 2:13Speaker 2: Hello, I'm Kelly Wiener-Smith. I study parasites and space and
- 2:18Speaker 2: topics like entanglement make me wonder if physicists have the
- 2:21Speaker 2: best slash worst pickup lines.
- 2:25Speaker 1: Hi, I'm Daniel. I'm a particle physicist who likes to
- 2:28Speaker 1: think about alien minds. And I also like to get
- 2:31Speaker 1: tangled up in quantum mechanics, though I don't think that's
- 2:34Speaker 1: a good pickup line.
- 2:35Speaker 2: Okay, so here is, I was going to ask you
- 2:37Speaker 2: about the worst physicist pickup lines, but I'm actually not
- 2:40Speaker 2: sure that our audience wants to hear that. So when
- 2:42Speaker 2: physicists have a party, what are physicist parties like?
- 2:47Speaker 1: What are physicist parties like? Well, I can't generalize, but
- 2:50Speaker 1: I can tell you my experience. Katrina and I were
- 2:53Speaker 1: in grad school at the same time, and I went
- 2:55Speaker 1: to a poor public school, Berkeley, and she went to
- 2:58Speaker 1: a fancy private school, University of Chicago, and her department
- 3:01Speaker 1: was flush with cash, which meant that if you threw
- 3:04Speaker 1: a party at your house and invited the whole department
- 3:06Speaker 1: of grad students, they would pay for the alcohol. What?
- 3:09Speaker 1: So several times they gave us like $ 500 to throw
- 3:13Speaker 1: a party, and of course we invited all the biologists,
- 3:16Speaker 1: and then I invited all the physicists. So the physicists
- 3:20Speaker 1: crashed all those biology parties. And it was fascinating to
- 3:23Speaker 1: see the sort of cultural clash between the physics crew
- 3:27Speaker 1: and the bio crew. Yeah, it was interesting. You know,
- 3:30Speaker 1: we got some physics bio connections happening. You know, Katrina
- 3:34Speaker 1: and I are one example. So, yeah, it was interesting
- 3:37Speaker 1: to see how those folks approach a party differently. Right.
- 3:40Speaker 2: So physicist parties are only good if they're organized by
- 3:42Speaker 2: biologists is what I'm hearing.
- 3:43Speaker 1: That's the story. Yes, exactly. And funded by the biologists. Right.
- 3:49Speaker 1: Thank you, University of Chicago. We had some good times.
- 3:53Speaker 2: Amazing. All right. Well, today we're not talking about entangling
- 3:56Speaker 2: graduate students. We're talking about entangling particles.
- 3:59Speaker 1: Yes, we are. And I got a question from Roger
- 4:02Speaker 1: in Boston who heard about a fascinating set of experiments
- 4:07Speaker 1: and wanted them explained. Here's his question. Hello, Daniel and Kelly.
- 4:12Speaker 3: My name is Roger and I am reaching out from Boston, Massachusetts.
- 4:18Speaker 3: I discovered your podcast a little while ago and I
- 4:22Speaker 3: cannot get enough. Even though there's tons of stuff in there,
- 4:27Speaker 3: I just don't seem to be able to wrap my
- 4:30Speaker 3: head around. Fascinating stuff nonetheless. With a touch of makes
- 4:36Speaker 3: my skin crawl. Down to my question now. Would you
- 4:40Speaker 3: please explain how the Green Burger Horn Salinger Multi-particle entanglement
- 4:45Speaker 3: experiment proves quantum entanglement. Please explain the hows and the
- 4:51Speaker 3: whys of the experiment. I look forward to be blown
- 4:55Speaker 3: away by your explanation. Thank you kindly and keep up
- 5:00Speaker 3: the good work, guys.
- 5:02Speaker 2: Greenberger, Horn, Zillinger. That's a mouthful.
- 5:05Speaker 1: It's a mouthful. There's three smart guys who tangle themselves
- 5:09Speaker 1: up thinking about triples of particles. And I started digging
- 5:13Speaker 1: into this to answer Roger's question over email. And I
- 5:15Speaker 1: was like, this is way too much for an email.
- 5:17Speaker 1: Let's do a whole episode. Amazing. Yes, exactly. Because it
- 5:21Speaker 1: also gives me an opportunity to talk again about some
- 5:24Speaker 1: of my favorite experiments and then to talk about a
- 5:26Speaker 1: super version of those experiments that's much cleaner, much crisper,
- 5:30Speaker 1: sort of confusing in a different way about quantum mechanics. Oh, good.
- 5:34Speaker 2: Layers of confusion.
- 5:36Speaker 1: Yes.
- 5:36Speaker 2: Fantastic. Entanglement is definitely one of those topics where every
- 5:39Speaker 2: time I hear it, I'm still like, I think you
- 5:42Speaker 2: guys are getting something wrong. But then you'd always tell me, no,
- 5:48Speaker 2: we use this to predict other things and those predictions
- 5:50Speaker 2: come true. This is useful information. And anyway, but it
- 5:53Speaker 2: breaks my brain every time.
- 5:54Speaker 1: But that's the point of experiment, right? Is that you
- 5:57Speaker 1: go out and explore the universe so that it can
- 5:59Speaker 1: change your intuition. So it can teach you how the
- 6:01Speaker 1: universe actually works instead of how we think it might
- 6:04Speaker 1: or the way we hope it should work. The universe
- 6:08Speaker 1: follows its rules and the only way to learn it
- 6:10Speaker 1: is to follow the data. And so today we're going
- 6:12Speaker 1: to talk about that and we're going to talk about
- 6:13Speaker 1: some fascinating entanglement experiments that rely on entangling three particles
- 6:18Speaker 1: at the same time. Because entangling two is not complicated enough. No, no.
- 6:22Speaker 1: We are going to three particles.
- 6:25Speaker 2: Okay, but we're starting at two. But all right, keep going.
- 6:26Speaker 1: We're starting at two. We're going to work up to it, yeah.
- 6:29Speaker 1: But before we get there, I wanted to know what
- 6:31Speaker 1: people thought about entangling three particles and where their sort
- 6:34Speaker 1: of mental potholes were. So I went out and I
- 6:37Speaker 1: asked our group of extraordinaries, can you entangle three particles?
- 6:41Speaker 1: What is involved? Here's what folks had to say. But
- 6:45Speaker 1: I'm suspecting it's a trick question and three can actually
- 6:49Speaker 1: be entangled. Yes, you can, in fact, entangle multiple particles.
- 6:55Speaker 1: That's what they're trying to do in quantum computing. I
- 6:59Speaker 1: think we can somehow.
- 7:01Speaker 3: Actually, I have no idea at all, but I also
- 7:05Speaker 3: don't fully understand what quantum entanglement is.
- 7:09Speaker 1: So I'll let Daniel take this one. I would think
- 7:12Speaker 1: that you would need a particle with three different states,
- 7:16Speaker 1: like spin.
- 7:17Speaker 2: The idea of quantum entanglement always seemed to me to
- 7:20Speaker 2: be binary.
- 7:21Speaker 1: A left spin and a right spin, up or down, whatever.
- 7:24Speaker 1: So having a threesome would be very odd. This almost
- 7:28Speaker 1: broke my brain, but I guess.
- 7:30Speaker 2: If there's a particle with a superposition that has three
- 7:33Speaker 2: possible outcomes, then theoretically, yes, is how my logic would work.
- 7:38Speaker 1: But quantum physics is not logic.
- 7:40Speaker 2: There might be some super clever way you can entangle
- 7:43Speaker 2: three together all at once, where some of them has
- 7:47Speaker 2: to equal something, but you're not sure how it's distributed. Hmm.
- 7:51Speaker 2: I've only heard of entanglement of a pair of particles.
- 7:56Speaker 2: So I would say that doing it with three particles
- 7:59Speaker 2: is not possible. Nice mix of answers here.
- 8:04Speaker 1: Yeah. So there are definitely some misunderstandings here about entanglement
- 8:08Speaker 1: and how it works and the limitations. And we're going
- 8:10Speaker 1: to dig into all of that today. So thanks very
- 8:13Speaker 1: much to The Extraordinaries for giving me clues as to
- 8:16Speaker 1: where we need to go in this episode if you
- 8:18Speaker 1: would like to participate for future episodes we would love
- 8:20Speaker 1: to hear from you Please don't be shy. Write to
- 8:22Speaker 1: us to questions at danielandkelly.org. And you too can get
- 8:27Speaker 1: tough physics questions in your inbox. Didn't you always dream
- 8:30Speaker 1: of that?
- 8:30Speaker 2: The list is going to be a million people long, Daniel.
- 8:33Speaker 2: What are we going to do?
- 8:36Speaker 1: Email all at earth.
- 8:38Speaker 2: That's right.
- 8:38Speaker 1: That's right. All right.
- 8:41Speaker 2: Well, let's start at the very beginning. Forget entangling three particles.
- 8:45Speaker 2: Let's just entangle two. What is going on when two
- 8:49Speaker 2: particles are entangled?
- 8:50Speaker 1: Yeah. So first, what is entanglement anyway, right? Let's focus
- 8:54Speaker 1: with two particles and understand what it is we're talking about.
- 8:58Speaker 1: What entanglement is not is some magical connection between distant
- 9:02Speaker 1: particles that binds their fate together. I think some people
- 9:06Speaker 1: imagine entanglement the way it's often seen in science fiction.
- 9:09Speaker 1: It's like you have a particle here and a particle there,
- 9:12Speaker 1: and they have some connection. And anything you do to
- 9:14Speaker 1: one particle affects the other one. And that sounds awesome,
- 9:17Speaker 1: but that's not what entanglement is at all. That's like
- 9:21Speaker 1: Bad pop-sci version, that's the science fiction version that allows
- 9:24Speaker 1: you to communicate information across space and time instantly. If
- 9:29Speaker 1: you had such a particle, like if I had one
- 9:31Speaker 1: and Kelly had one and I could poke it and
- 9:33Speaker 1: then Kelly's particle got poked, then yeah, I could send
- 9:35Speaker 1: information along that wire, right? Because I could do stuff
- 9:38Speaker 1: to my particle that would happen to her particle and
- 9:40Speaker 1: she could read it out. That would be incredible. That
- 9:42Speaker 1: is not what entanglement is at all, unfortunately, right? Physics
- 9:47Speaker 1: as the wet blanket.
- 9:48Speaker 2: Well, longtime DKEU listeners will not be laboring under that
- 9:52Speaker 2: misconception because we have talked about this a few times.
- 9:55Speaker 2: but let's definitely do it again to make sure it's fresh.
- 9:57Speaker 1: The way you should think about entanglement is that you
- 10:00Speaker 1: have to think about the two particles together. It's a
- 10:03Speaker 1: correlation in the outcomes because it's really a single state.
- 10:07Speaker 1: It's always created locally. Two particles are entangled when they interact,
- 10:12Speaker 1: and then they maintain that correlation even if you separate them.
- 10:16Speaker 1: And that's not too hard to understand. You know, Let's
- 10:21Speaker 1: say you have two particles, and there's one property you
- 10:23Speaker 1: want to measure about them, their spin. It's either up
- 10:25Speaker 1: or it's down. So particle one can be up or down.
- 10:28Speaker 1: Particle two can be up or down, right? So then
- 10:31Speaker 1: how many possible outcomes are there for your measurement, Kelly?
- 10:34Speaker 3: Four.
- 10:34Speaker 1: Four, exactly.
- 10:35Speaker 2: Thanks for making an outline ahead of time.
- 10:38Speaker 1: Don't tip them off that you cheated. I wanted to
- 10:40Speaker 1: give you some points there.
- 10:42Speaker 2: I think I could have figured that one out. It's
- 10:43Speaker 2: a small number of options, but thanks.
- 10:45Speaker 1: So two for particle one, two for particle two. And
- 10:47Speaker 1: you can enumerate them. It's up, up, down, down, up, down,
- 10:50Speaker 1: or down, up. Those are the possible outcomes, right? If
- 10:53Speaker 1: the particles are totally free to do whatever they like.
- 10:56Speaker 1: Entanglement says, let's only allow some of those outcomes. We
- 11:00Speaker 1: have some physics process that has created these particles in
- 11:04Speaker 1: such a way that only some outcomes are allowed. For example,
- 11:07Speaker 1: maybe there's a conservation of spin. And so we need
- 11:10Speaker 1: zero spin for the whole state because it was made
- 11:12Speaker 1: from a zero spin state and spin is conserved. And
- 11:15Speaker 1: so the spin has to be zero afterwards, which means
- 11:17Speaker 1: you either need up-down or down-up. The up-up would have
- 11:21Speaker 1: too much spin and the down-down would have too much
- 11:22Speaker 1: negative spin. So they're not allowed. So if instead of
- 11:26Speaker 1: just having two particles free and willy-nilly to have any spin,
- 11:29Speaker 1: if instead you create them together in a correlated way, right,
- 11:33Speaker 1: from some interaction, and then separate them, then you know
- 11:37Speaker 1: that they're either in up-down or in down-up. So entanglement
- 11:40Speaker 1: is just those correlations. It just says, of the matrix
- 11:43Speaker 1: of possibilities, you're going to cross some out. And you're
- 11:46Speaker 1: imposing a condition that say only some of them are allowed, right? Mm-hmm. Now,
- 11:50Speaker 1: that seems very obvious. You're like, hold on a second.
- 11:52Speaker 1: Where's all the quantum weirdness, right? And the quantum weirdness
- 11:56Speaker 1: comes in when you add superposition. When you say, well,
- 11:59Speaker 1: which of those states are we in? In a classical
- 12:02Speaker 1: version of this problem, say you have like a bag
- 12:06Speaker 1: with two balls in it and one is labeled up
- 12:08Speaker 1: and one is labeled down. And I take a ball
- 12:10Speaker 1: and Kelly takes a ball and we go 10 miles
- 12:12Speaker 1: apart and we haven't looked at our balls, right? Then
- 12:15Speaker 1: if you look at your ball, you could say, oh,
- 12:16Speaker 1: I have the up ball. Cool. That means I know
- 12:19Speaker 1: instantly already that Daniel has the down ball because there
- 12:22Speaker 1: was one up and there was one down. There's a correlation.
- 12:25Speaker 1: So I know mine, therefore I know yours.
- 12:27Speaker 3: Okay.
- 12:28Speaker 1: And in that classical version, it's still not mysterious because
- 12:32Speaker 1: you know how it happened. You know that the fact
- 12:34Speaker 1: that you have up and I had down was determined
- 12:37Speaker 1: when we pulled the balls out of the bag, right?
- 12:39Speaker 1: So the fact that we walked 10 miles away, nothing
- 12:41Speaker 1: interesting happens there, nothing special. This is predetermined by some
- 12:46Speaker 1: properties on the ball. We call that hidden local variables.
- 12:49Speaker 1: There's some feature of the ball that is literally the
- 12:52Speaker 1: U on it or the D on it It tells
- 12:55Speaker 1: you which one it's going to be, right? It's determined
- 12:57Speaker 1: in advance. So that's the classical version of entanglement. Still
- 13:00Speaker 1: with me?
- 13:01Speaker 2: Yeah, I'm still with you. The whole time, the ball
- 13:03Speaker 2: was either up or down.
- 13:04Speaker 1: Exactly. Yes. And all that makes sense, right? So now
- 13:08Speaker 1: let's get to the quantum version. We have the whole
- 13:10Speaker 1: setup ready. So in the quantum version, there is no
- 13:13Speaker 1: local hidden information that determines whether the ball is up
- 13:16Speaker 1: or down. It's in a superposition, which is a fancy
- 13:20Speaker 1: quantum word for saying there's two possibilities in and neither
- 13:24Speaker 1: are determined yet. So both possibilities are live. The up
- 13:27Speaker 1: and the down are live on my ball until I look.
- 13:31Speaker 1: So I pick out the ball from the bag. It
- 13:33Speaker 1: can be up or down. I haven't looked yet. I
- 13:35Speaker 1: walk 10 miles. It can still be up or down.
- 13:37Speaker 1: I haven't looked yet. Kelly's ball can still be up
- 13:40Speaker 1: or down. She hasn't looked yet, right? So that's the
- 13:43Speaker 1: difference between the quantum version and the classical version. The
- 13:46Speaker 1: classical version is local information that's encoded in the ball.
- 13:49Speaker 1: It's predetermined. You learn about the other person's ball, but
- 13:53Speaker 1: it was determined in advance. And the quantum version, it's uncertain.
- 13:57Speaker 1: So what happens when I look is my ball goes
- 13:59Speaker 1: from either up or down, from being in an uncertain
- 14:02Speaker 1: state of those two, to being specifically up or specifically down, right?
- 14:06Speaker 1: Whatever the universe chooses. And then the weird quantum part
- 14:09Speaker 1: is the same thing has to happen to your ball, right? Now,
- 14:12Speaker 1: we had two possibilities. Either I have up and you
- 14:15Speaker 1: have down, or I have down and you have up.
- 14:17Speaker 1: One of those has gotten crossed off the list, right?
- 14:20Speaker 1: So now we only have one possibility. So just like
- 14:22Speaker 1: in the classical version, seeing mine means I know yours, right?
- 14:26Speaker 1: The fascinating thing is that when I measure mine, it's
- 14:30Speaker 1: the same quantum state as yours. It's just non-local, it's extended.
- 14:33Speaker 1: So the whole quantum state collapses from being in both
- 14:36Speaker 1: options to being one specific option where I have up
- 14:39Speaker 1: and you have down. So you haven't looked at your
- 14:41Speaker 1: ball yet, but me looking at mine collapses your state also.
- 14:46Speaker 1: That's the weird quantum thing, that over space and time,
- 14:49Speaker 1: your state also collapses when I look at mine. Does
- 14:52Speaker 1: that make sense?
- 14:53Speaker 2: Yeah, I think so. I'm going to hopefully not get
- 14:55Speaker 2: us too far off track with this question, okay? So
- 14:57Speaker 2: when you said it's a superposition of up and down,
- 15:00Speaker 2: that made me think about Schrodinger's cat, which is a
- 15:03Speaker 2: superposition of alive and dead. Whereas I think in PopSci,
- 15:07Speaker 2: they're usually like, it's dead until you take it out
- 15:08Speaker 2: of the box and then maybe it's alive or something
- 15:10Speaker 2: like that.
- 15:10Speaker 1: No, they say it's both alive and dead. Right.
- 15:13Speaker 2: It's a superposition.
- 15:14Speaker 1: Okay.
- 15:14Speaker 2: But so the difference is there, you're talking about one
- 15:17Speaker 2: cat that's in a box, but that's what superposition is.
- 15:19Speaker 2: And entanglement is when you have two things in superposition,
- 15:22Speaker 2: but what happens to them is correlated.
- 15:24Speaker 1: Yes, that's exactly right. Ding, ding, ding. You're a quantum mechanic. Yeah, exactly. Exactly.
- 15:29Speaker 1: And the thing that often trips people up is this
- 15:32Speaker 1: feeling like I've done something to my ball. I've measured
- 15:35Speaker 1: my ball. I've seen that it's up. And that does
- 15:38Speaker 1: something to your ball over there. And that's true. Your
- 15:40Speaker 1: ball goes from in a superposition to only in one state, right?
- 15:45Speaker 1: And so that feels like you should be able to
- 15:48Speaker 1: use that somehow to send information. I am affecting your ball.
- 15:52Speaker 1: I measure my ball. It affects your ball. Can I
- 15:55Speaker 1: use that to do something? Answer, no. Because you can't
- 15:59Speaker 1: tell that I've done that. You have your ball. You
- 16:01Speaker 1: haven't looked at it. All you can do is look
- 16:03Speaker 1: at it and measure up or down. When you look
- 16:05Speaker 1: at it and measure down, you don't know if I've
- 16:08Speaker 1: already collapsed it into down by looking at mine or
- 16:11Speaker 1: if by measuring it, you collapsed it. There's no test
- 16:13Speaker 1: you can do to say like, hey, are you collapsed
- 16:15Speaker 1: or not? Did Daniel collapse it? And that's the loophole
- 16:18Speaker 1: people usually try to use to build some device that
- 16:21Speaker 1: can send information across space and time. But you can't, unfortunately.
- 16:25Speaker 2: Boo.
- 16:25Speaker 1: It's also unsatisfying because you don't sort of see the
- 16:28Speaker 1: magic happening. Like, all you do is you look at
- 16:30Speaker 1: your ball and you see up or you see down. Okay,
- 16:33Speaker 1: but how do you know that it wasn't determined, right?
- 16:36Speaker 1: How do you know that it wasn't? How do you
- 16:37Speaker 1: know that there isn't some piece of information that's hidden
- 16:40Speaker 1: from you you just didn't know about, some feature of
- 16:43Speaker 1: this electron and that electron that really did determine it?
- 16:46Speaker 1: Like you can't tell that it was in superposition, can you?
- 16:50Speaker 1: That's the big puzzle, right? How do you know that
- 16:52Speaker 1: this story we're telling about how the universe keeps both
- 16:54Speaker 1: options live until you look, how do we know? And
- 16:57Speaker 1: that's Bell's experiment, which we've talked about before. I'm going
- 16:59Speaker 1: to get into again today. But Bell's experiment is unsatisfying, right?
- 17:03Speaker 1: It's a statistical pattern. You measure these things, you count
- 17:06Speaker 1: the numbers. There's no smoking gun.
- 17:08Speaker 2: But it's clever.
- 17:09Speaker 1: Oh yeah. Oh, it's genius. Absolutely.
- 17:11Speaker 3: No, no.
- 17:12Speaker 1: I don't mean to say, you know, the guy's not
- 17:14Speaker 1: a smart person. It's just like, As somebody who's learning
- 17:17Speaker 1: physics and wanting to see a clear and crisp smoking
- 17:20Speaker 1: gun example of how there can't be local hidden information,
- 17:24Speaker 1: how things really are random, it's a little unsatisfying. And
- 17:27Speaker 1: that's where three-particle entanglement comes in. So these guys, Greenberger, Horn, Zellinger...
- 17:34Speaker 1: came up with a way by entangling three particles together
- 17:39Speaker 1: to make a smoking gun experiment showing that no set
- 17:42Speaker 1: of pre-written local answers can reproduce the results. It just
- 17:46Speaker 1: absolutely cannot be in a single result from the experiment.
- 17:50Speaker 1: So that's exciting.
- 17:51Speaker 2: Hold on, hold on. So how can you entangle three particles?
- 17:54Speaker 2: I can imagine how like you can have an up
- 17:56Speaker 2: and a down and the other.
- 17:57Speaker 1: Yeah.
- 17:58Speaker 2: Do you have to have three options for their states
- 18:00Speaker 2: in order for this to work?
- 18:01Speaker 3: Right.
- 18:01Speaker 1: And this was the kind of thing that the listeners
- 18:03Speaker 1: were confused about. So I want to explain it briefly
- 18:05Speaker 1: before we get into the experiments. You know, there's the
- 18:08Speaker 1: number two in this example. You have two states and
- 18:11Speaker 1: you have two particles. But that's a coincidence. The fact
- 18:14Speaker 1: that there are two states doesn't limit you to having
- 18:17Speaker 1: two particles. You know, in that example, you had the
- 18:20Speaker 1: initial state with spin zero and it turned into two
- 18:23Speaker 1: particles with spin up and down and up plus down
- 18:26Speaker 1: equals zero. So it all worked out. But you could
- 18:28Speaker 1: very easily extend that to three particles. you could start
- 18:31Speaker 1: with an initial state that was up instead of zero,
- 18:34Speaker 1: and then turn that into three particles, and then you'd
- 18:37Speaker 1: have to require that the three particles were up, down, up,
- 18:40Speaker 1: so they all added up to the initial state. So
- 18:42Speaker 1: there's no limit to the number of particles you can entangle,
- 18:45Speaker 1: and you can just keep interacting. Entanglement comes from interactions.
- 18:49Speaker 1: So you have a two-particle system, you interact it with
- 18:51Speaker 1: another particle, now you have three particles entangled. Or you
- 18:54Speaker 1: can create the entanglement from a single interaction from the beginning.
- 18:58Speaker 1: And you can also... have particles with multiple spin states.
- 19:02Speaker 1: There are particles with three spin states, like the W
- 19:04Speaker 1: boson can be up, down, or zero, right? So you
- 19:08Speaker 1: have all that freedom.
- 19:10Speaker 2: Are you limited by features of the things that you're
- 19:15Speaker 2: working with? Like, do they have to have three spin states?
- 19:17Speaker 2: Or how the heck do you tell particles that we're
- 19:21Speaker 2: starting with up and you have to equal zero at
- 19:24Speaker 2: the end? And like, how do you convey that information
- 19:27Speaker 2: to particles?
- 19:29Speaker 1: You don't convey to the particles the rules of physics
- 19:32Speaker 1: limit you to certain outcomes. You know, like when a
- 19:36Speaker 1: photon decays to an electron and positron, the rules of
- 19:40Speaker 1: angular momentum say that some of those spin states are
- 19:43Speaker 1: allowed and some of them are not. And so some
- 19:44Speaker 1: of them just never appear because they would violate a
- 19:47Speaker 1: law of physics. And so if you create... three particles
- 19:50Speaker 1: at once from a single state, then some of the
- 19:53Speaker 1: spin outcomes just are not allowed. They will never happen
- 19:56Speaker 1: because they violate some law of physics. And that's something
- 19:59Speaker 1: we've reverse engineered. We've like watched this happen and we'd notice, huh,
- 20:03Speaker 1: this never happens. That never happens. There must be some
- 20:06Speaker 1: rule that prevents it. And we've reverse engineered that and
- 20:08Speaker 1: now we call that a law of physics. But the
- 20:11Speaker 1: reality is you just don't see that in the universe.
- 20:13Speaker 1: And we describe that with our laws.
- 20:15Speaker 2: So then it sounds like features of the particles determine
- 20:20Speaker 2: how many combinations of particles you could have.
- 20:22Speaker 1: Yeah, but particles have lots of features. You know, we're
- 20:24Speaker 1: talking about spins, but also they can be entangled in
- 20:27Speaker 1: their like linear momentum. You know, for example, if you
- 20:30Speaker 1: have a Higgs boson at rest and then it turns
- 20:33Speaker 1: into two particles flying off in either direction... then their
- 20:37Speaker 1: linear momentum has to sum to the original Higgs boson momentum. So,
- 20:41Speaker 1: you know, they have to be like going in opposite directions,
- 20:43Speaker 1: which makes sense intuitively. Like if a particle explodes into two,
- 20:46Speaker 1: they're back to back, which means you measure the direction
- 20:49Speaker 1: of one, you automatically know the direction of the other,
- 20:52Speaker 1: even if the direction of one has some randomness to it, right?
- 20:55Speaker 1: And so that's another example of a correlation between the
- 20:57Speaker 1: outcomes that really is a quantum superposition. It's because those
- 21:01Speaker 1: two particles are entangled. And so they're entangled in many ways,
- 21:05Speaker 1: not just their spin, also their momentum and all sorts
- 21:07Speaker 1: of stuff. Yeah. So entanglement is no limitations, basically. Wow.
- 21:12Speaker 2: Awesome. I have absorbed that, but I would still like
- 21:15Speaker 2: to hear more about Bell's experiment to make sure I'm
- 21:18Speaker 2: really following everything. So let's take a break. And when
- 21:20Speaker 2: we get back, we're going to dig into Bell's experiment
- 21:22Speaker 2: with two particles and then expand your mind out to
- 21:24Speaker 2: three particles. Okay, we're back. We are talking about entanglement today.
- 21:48Speaker 2: We have managed to mostly keep away from physicist pickup lines.
- 21:51Speaker 2: I'm very proud of us. Let's go ahead and jump
- 21:54Speaker 2: into Bell's experiments.
- 21:56Speaker 1: Yeah, but I consider today's episode basically a party between
- 21:59Speaker 1: physics and biology because here we are, right?
- 22:01Speaker 2: That's right. That's right.
- 22:02Speaker 1: It's a Friday morning coffee party.
- 22:05Speaker 2: That's right. Parties don't have to have pickup lines. In fact,
- 22:08Speaker 2: they're much better when they don't have pickup lines. So
- 22:11Speaker 2: let's party the particle way.
- 22:13Speaker 1: That's right. Let's pick up Bell's experiment. So the idea
- 22:16Speaker 1: here is to figure out how do we know that
- 22:19Speaker 1: the universe really is random, that it's not predetermined in
- 22:24Speaker 1: some way we couldn't tell in advance. And that sounds
- 22:26Speaker 1: like a tall order because you're trying to rule out
- 22:30Speaker 1: basically not just a specific theory for like how the
- 22:34Speaker 1: particles could be predetermined, what could be fixing their outcome,
- 22:39Speaker 1: but any theory, any theory which ever could have the
- 22:43Speaker 1: local information that would determine the outcome of your experiment, right?
- 22:47Speaker 1: And so that seems like a tall order, like how
- 22:50Speaker 1: do you tell if the universe was random and how
- 22:52Speaker 1: do you rule out every possible theory? And so Bell's
- 22:55Speaker 1: experiment is really genius. This guy invented this way of
- 22:59Speaker 1: distinguishing between these two outcomes. And it's very clever, but
- 23:02Speaker 1: it's also complicated and a little hard to follow. And
- 23:06Speaker 1: the outcome is not really a smoking gun. But as
- 23:10Speaker 1: a way to contrast it with a three-particle experiment, I
- 23:13Speaker 1: think it's a useful warm-up.
- 23:15Speaker 2: After that intro, I can't wait. Let's dig in.
- 23:19Speaker 1: It's really worth understanding. And all the nuances are really fun.
- 23:23Speaker 1: So the idea is, just like the example we started
- 23:26Speaker 1: with before... you have two entangled electrons, right? That means
- 23:30Speaker 1: if one is spin up in one direction, the other
- 23:32Speaker 1: one has to be spin down in that same direction. Okay,
- 23:35Speaker 1: but now we're gonna complicate things a little bit because
- 23:37Speaker 1: before we were talking about the electrons having spin up
- 23:40Speaker 1: and spin down as if there's only one kind of
- 23:42Speaker 1: spin they can have, right? Just like spin up or
- 23:44Speaker 1: spin down. But the truth is electrons are three-dimensional objects.
- 23:48Speaker 1: And so when you measure their spin, you have to
- 23:50Speaker 1: ask in which direction, right? Like think about the earth.
- 23:54Speaker 1: The Earth is spinning around its axis, right? But it
- 23:56Speaker 1: could have been spinning around a different axis. In fact,
- 23:59Speaker 1: because there are three dimensions of space, you can imagine
- 24:01Speaker 1: three different ways the Earth could be spinning, right? It
- 24:04Speaker 1: could be spinning around the axis that goes between the
- 24:06Speaker 1: North and the South Pole, like it does. Or you
- 24:08Speaker 1: could stick an axis through the equator, right? And it
- 24:12Speaker 1: could spin that way. Or another axis through the equator
- 24:14Speaker 1: at 90 degrees to that, and it could spin that way.
- 24:16Speaker 1: It's not, right? There are three different ways that the
- 24:18Speaker 1: Earth could spin. Or in reality, it could be any
- 24:21Speaker 1: mixture of those three, right? So the Earth is spinning
- 24:24Speaker 1: around one axis, but there are more complicated ways to spin.
- 24:28Speaker 1: And the same is true also for quantum particles. When
- 24:30Speaker 1: you measure their spin, you have to say, I'm measuring
- 24:33Speaker 1: your spin along this axis or along that axis or
- 24:35Speaker 1: along the other axis. And the weird thing about quantum
- 24:39Speaker 1: spin is that no matter what you ask, you either
- 24:42Speaker 1: get up or down. There's no intermediate values. Like if
- 24:46Speaker 1: you try to measure the Earth's spin using an axis
- 24:48Speaker 1: that was not aligned with the North and South Pole axis,
- 24:51Speaker 1: you would get some intermediate value. Say, oh yeah, it's
- 24:53Speaker 1: spinning along that axis a little bit. It's also spinning
- 24:56Speaker 1: along another axis a little bit. But that's not true
- 24:58Speaker 1: for quantum particles. You either just get up or down.
- 25:01Speaker 1: The answers are related, but they're always either up or down.
- 25:05Speaker 2: Can I back you up real quick?
- 25:06Speaker 1: Yeah, please.
- 25:06Speaker 2: I'm not sure the Earth thing was helping. I think
- 25:08Speaker 2: it might've confused me. So you've said there's three ways
- 25:09Speaker 2: that it could spin. So say you've got an axis.
- 25:12Speaker 2: Earth can spin the way it's spinning now. It could
- 25:15Speaker 2: go exactly backwards from the way that it's going, like
- 25:18Speaker 2: spin in the opposite direction. And then what is the
- 25:19Speaker 2: third way that it could spin?
- 25:21Speaker 1: Oh, I see. Spinning the opposite direction is still spinning
- 25:24Speaker 1: around the same axis.
- 25:25Speaker 2: Oh, but you said direction matters, but that doesn't count
- 25:29Speaker 2: as changing direction?
- 25:31Speaker 1: Right. So, you know, imagine spinning the way that we're
- 25:34Speaker 1: spinning around the north-south pole. Call that, you know, positive.
- 25:38Speaker 2: Yeah, okay.
- 25:38Speaker 1: Yeah. And spinning the other direction around that same pole,
- 25:42Speaker 1: that would be negative. But it's around the same axis.
- 25:44Speaker 1: I'm talking about measuring its spin along a different line. Like,
- 25:48Speaker 1: is it spinning around a line that goes through the equator? So, like,
- 25:51Speaker 1: take your Earth and stick a bar through it horizontally.
- 25:55Speaker 1: And imagine the Earth spinning around that line instead of
- 25:57Speaker 1: spinning around a vertical line. That would be a different axis.
- 26:00Speaker 2: But then couldn't you have infinite kinds of spin then?
- 26:03Speaker 2: Because that axis could be anywhere?
- 26:05Speaker 1: Yes, absolutely. There's infinite number of axes you could choose.
- 26:09Speaker 1: And if you have a 3D physical classical object, then
- 26:12Speaker 1: as you change the axis, you get more or less
- 26:14Speaker 1: of that spin captured by that axis, right?
- 26:16Speaker 2: Okay, I'm with you now.
- 26:17Speaker 3: Mm-hmm.
- 26:18Speaker 1: Okay. All right. Thanks. And so you can also do
- 26:20Speaker 1: that for an electron. So for example, if you have
- 26:23Speaker 1: two electrons and I measure mine to be up and
- 26:27Speaker 1: you measure yours to be down and we could say, well,
- 26:29Speaker 1: let's flip the axis we're measuring, right? Let's just turn
- 26:32Speaker 1: it 180 degrees. Then we're going to get the opposite results.
- 26:35Speaker 1: If I got up and you got down, then I'll
- 26:37Speaker 1: now get down and you'll get up, right? Okay. That's easy. Now,
- 26:41Speaker 1: if we flip the axis a little bit, like by
- 26:44Speaker 1: some angle, instead of all the way, 180 degrees, then
- 26:47Speaker 1: we get some different results up and down, but it
- 26:49Speaker 1: depends on the angle. And so Bell's axis does this.
- 26:54Speaker 1: It says, let's pick three spin directions in advance at random.
- 26:58Speaker 1: We'll call them A, B, and C, okay? And then
- 27:02Speaker 1: I'm gonna choose randomly which axis to measure my electron,
- 27:05Speaker 1: and you're gonna choose randomly which axis to measure your electron.
- 27:08Speaker 1: And then we're gonna ask, how often do we get
- 27:11Speaker 1: the opposite spin? Now, if we choose the same axis,
- 27:14Speaker 1: We get the opposite spin because one has to be up,
- 27:16Speaker 1: the other one has to be down. If we choose
- 27:19Speaker 1: axes that are upside down, then we'll always get the
- 27:21Speaker 1: same spin, right? I'll measure up and you're measuring down
- 27:25Speaker 1: along my axis. But if your axis is reversed, you're
- 27:28Speaker 1: going to get an up also. And if you choose
- 27:30Speaker 1: an axis that's like at some weird crazy angle, you're
- 27:33Speaker 1: sometimes going to get up, sometimes going to get down.
- 27:36Speaker 1: So you do this a bunch of times and you
- 27:38Speaker 1: measure how often do we get opposite spins, right? A
- 27:43Speaker 1: third of the time, you use the same axis, so
- 27:45Speaker 1: you're going to get opposite spins. And this is where
- 27:48Speaker 1: the two ideas separate. Remember, we're trying to distinguish between
- 27:51Speaker 1: quantum mechanics that says, look, everything is random and it's
- 27:54Speaker 1: determined only when you measure it, and the hidden variable
- 27:57Speaker 1: theory that says, no, it's predetermined. There's some information on
- 28:01Speaker 1: the particles that tells you all along which one was
- 28:04Speaker 1: up and which one was down. And so the hidden
- 28:07Speaker 1: variable theory says, well, We know the answer is all
- 28:10Speaker 1: in advance. We can just make a table of the outcomes.
- 28:13Speaker 1: And if you do that calculation, you can see that
- 28:15Speaker 1: you can't get the same spin more than two thirds
- 28:18Speaker 1: of the time. Like one third, you're going to get
- 28:20Speaker 1: the same spin because we flip axes. And then sometimes
- 28:25Speaker 1: you get the same axis because the angles. But if
- 28:28Speaker 1: you do the math, you get the same spin less
- 28:31Speaker 1: than two thirds of the time. But quantum mechanics disagrees.
- 28:34Speaker 1: Quantum mechanics says, no, you can get the same spin
- 28:36Speaker 1: up to 75% of the time. because of the correlations
- 28:41Speaker 1: between these two particles. And so this feels a little fuzzy.
- 28:45Speaker 1: I just sort of like said that and it is
- 28:47Speaker 1: a little bit fuzzy. It comes out of the math
- 28:49Speaker 1: and I've never found a great like intuitive way to
- 28:51Speaker 1: explain like why the quantum mechanics predicts something different from
- 28:55Speaker 1: the hidden variables. It just sort of comes out of
- 28:57Speaker 1: the math and you do the experiment and you get
- 29:00Speaker 1: an answer that's like 75% and that tells you, okay,
- 29:03Speaker 1: it's quantum mechanics. And you can't point to any individual
- 29:06Speaker 1: experiment and say, like, look, this one was up and
- 29:08Speaker 1: that one was down, and that's impossible by hidden variables.
- 29:11Speaker 1: It's just the pattern of the measurements that you've made
- 29:14Speaker 1: that tells you you've seen them get opposite spin more
- 29:16Speaker 1: often than you would expect from hidden variables. And it's
- 29:19Speaker 1: just the rate you would expect from quantum mechanics. Okay.
- 29:22Speaker 2: And so just to confirm, so you're measuring, for example,
- 29:26Speaker 2: are the particles up or down? And the only thing
- 29:28Speaker 2: that's changing is the axis along which you make that measurement.
- 29:31Speaker 3: Yes.
- 29:32Speaker 2: So you're not measuring multiple things about these particles. You're
- 29:35Speaker 2: just looking at it from a different like angle.
- 29:37Speaker 1: That's right. Yeah. Okay. And in the case of. quantum
- 29:40Speaker 1: mechanics like if you adjust the angles correctly so the
- 29:43Speaker 1: angles are like all 120 degrees apart then you get
- 29:46Speaker 1: this weird behavior and you know i can give a
- 29:49Speaker 1: little bit more intuition the reason that quantum mechanics gives
- 29:51Speaker 1: a different prediction from hidden variables is comes from the
- 29:54Speaker 1: interference of the possibilities, right? Which is something that quantum
- 29:57Speaker 1: mechanics has and the hidden variables theory doesn't. Hidden variables
- 30:00Speaker 1: is just like, look, everything's determined in advance. You can
- 30:03Speaker 1: write down before you look at the particles, the possible
- 30:06Speaker 1: outcomes and know which ones are going to happen. Quantum
- 30:09Speaker 1: mechanics says you can't, there are these various possibilities and
- 30:12Speaker 1: they interfere with each other. The way you see like
- 30:15Speaker 1: interference in the double slit experiment, right? If you do
- 30:18Speaker 1: not collapse the possibilities, then those various possibilities can interfere
- 30:22Speaker 1: with each other and give a change in the actual prediction.
- 30:24Speaker 1: And that's what's happening here. But again, it's kind of subtle, right?
- 30:28Speaker 1: It does tell you something amazing about the universe. It
- 30:30Speaker 1: tells you that it really is quantum mechanical. There isn't
- 30:33Speaker 1: any secret information that fixes the outcome, right? That this
- 30:38Speaker 1: really does happen at a distance. Quantum mechanics is non-local.
- 30:42Speaker 1: Like you measure one particle over here, And it determines,
- 30:46Speaker 1: it helps cross things off the list for the other particle.
- 30:49Speaker 1: And in that sense, determines stuff that's happening far away.
- 30:52Speaker 1: And that's fascinating and bizarre. And there's all sorts of
- 30:56Speaker 1: weird puzzles there about how to incorporate that with special relativity. Remember,
- 31:00Speaker 1: special relativity tells us that what I mean by now
- 31:04Speaker 1: and what somebody else means by now are different. And
- 31:07Speaker 1: simultaneity is not guaranteed in special relativity. So if you're
- 31:10Speaker 1: talking about two particles simultaneously collapsing over space-time, Then like, well,
- 31:15Speaker 1: how does that simultaneous for me and simultaneous for Zach,
- 31:19Speaker 1: who's flying by us at half the speed of light?
- 31:22Speaker 1: And we have a whole episode digging into that and
- 31:23Speaker 1: like retro causal theories of quantum mechanics. We're not going
- 31:26Speaker 1: to get into that today, but it's amazing what it
- 31:29Speaker 1: tells you about the universe. But still, it's kind of
- 31:31Speaker 1: unsatisfying because like, yeah, you know, you're counting the numbers,
- 31:35Speaker 1: you're getting a seven. And you know that if you
- 31:38Speaker 1: get a seven, it's quantum mechanics. If you get a five,
- 31:40Speaker 1: it's hidden variables. But like, show me the experiment that
- 31:43Speaker 1: really proves it. And I always found this experiment to
- 31:46Speaker 1: be kind of unsatisfying. And I think a lot of
- 31:48Speaker 1: people did, which is why three smart folks came up
- 31:51Speaker 1: with a more complicated version of the experiment that is
- 31:54Speaker 1: more complex, but it does give a very crisp and
- 31:57Speaker 1: clear smoking gun of quantum mechanics.
- 32:00Speaker 2: But when Bell came up with this, did it, like,
- 32:03Speaker 2: make a big wave?
- 32:03Speaker 1: Oh, yeah. Absolutely, it did. But it took a little while.
- 32:07Speaker 1: I mean, Bell was, like, not a big name at
- 32:10Speaker 1: the time, and he published his theorem in in this
- 32:13Speaker 1: little journal that not a lot of people read. And
- 32:16Speaker 1: the reason he chose that is because it didn't charge
- 32:19Speaker 1: you to publish. Like a lot of times when you
- 32:21Speaker 1: submit a paper, they're like, great, we accept your paper.
- 32:25Speaker 1: Please pay $ 4, 000 of publishing fees. And it's like, what?
- 32:29Speaker 1: Oh my gosh. It's expensive to publish a paper.
- 32:31Speaker 3: Yeah.
- 32:31Speaker 1: But some journals are free. Like society journals tend to
- 32:34Speaker 1: not charge as much. And so he actually published in
- 32:37Speaker 1: a journal that paid the authors who published there. Amazing.
- 32:40Speaker 2: That happens?
- 32:41Speaker 1: Yeah.
- 32:41Speaker 2: Yeah.
- 32:42Speaker 1: But it also means that they were cheap in other ways.
- 32:44Speaker 1: They didn't provide free reprints of the article. This is
- 32:46Speaker 1: before you could just download any article online. And so
- 32:50Speaker 1: he used the money he was paid to publish the
- 32:53Speaker 1: article to buy copies of the article that he then
- 32:55Speaker 1: sent to other physicists. So it took a little while
- 32:57Speaker 1: for people to get the word. But once people read
- 32:59Speaker 1: the paper, they were like, oh my gosh, this is
- 33:02Speaker 1: a big deal. And then people went and did the experiments.
- 33:04Speaker 1: And there's been a whole series of these experiments over
- 33:07Speaker 1: the last few decades verifying Bell's predictions and closing loopholes.
- 33:11Speaker 1: There's a bunch of assumptions in this experiment, like you
- 33:15Speaker 1: have to get these particles far enough away that when
- 33:18Speaker 1: they collapse, information can't travel from one to the other
- 33:22Speaker 1: in time to communicate the collapse. So you have to
- 33:25Speaker 1: get them far enough away and measure them quickly enough
- 33:28Speaker 1: that you can verify that light doesn't have time to
- 33:30Speaker 1: go from one particle to the other. Because otherwise, maybe
- 33:32Speaker 1: somehow the information did sneak from one to the other.
- 33:35Speaker 1: So you got better and better versions of this experiment
- 33:38Speaker 1: that were further and further apart to close loopholes. And
- 33:41Speaker 1: there are still loopholes. The experiment relies on choosing these
- 33:45Speaker 1: axes randomly. And so what if you don't have a
- 33:48Speaker 1: real random number generator? What if your choice of those
- 33:52Speaker 1: axes is actually predetermined by some demon in the early
- 33:56Speaker 1: universe who set up the whole universe so that it
- 33:58Speaker 1: looks like it was quantum mechanical, but actually it's not?
- 34:01Speaker 1: That's called superdeterminism. And That's technically a live option to
- 34:06Speaker 1: explain this, though I find it kind of bonkers.
- 34:08Speaker 2: The demon thing is superdeterminism? Yes.
- 34:11Speaker 1: Superdeterminism says, let's set up the universe in advance in
- 34:15Speaker 1: a way so that when humans do these experiments, they
- 34:17Speaker 1: get results that look quantum mechanical, but we're just going
- 34:19Speaker 1: to predetermine the quantum mechanical appearing outcome.
- 34:23Speaker 3: Wow. Right?
- 34:24Speaker 1: By tweaking with the random numbers so they're not really random.
- 34:27Speaker 1: I mean, people think deeply about this stuff, and they should.
- 34:29Speaker 1: It's like... we're drawing bonkers conclusions about the natures of reality.
- 34:33Speaker 1: Let's make sure we didn't miss anything. You know, I
- 34:36Speaker 1: get it. And so people have been doing these experiments,
- 34:39Speaker 1: closing loopholes, winning Nobel prizes for that, and also inventing
- 34:43Speaker 1: more complicated versions that are clear and crisper proofs that
- 34:47Speaker 1: the universe really is quantum mechanical. All right.
- 34:50Speaker 2: Well, now that we've got Bell's experiment and two entangled
- 34:53Speaker 2: particles all entangled up in our brain, let's go ahead
- 34:57Speaker 2: and jump to three particles. And we're going to do
- 34:59Speaker 2: that after the break. So Welcome back to Daniel and
- 35:22Speaker 2: Kelly's Extraordinary Universe. We are going to talk about entangling
- 35:25Speaker 2: three particles now in the G-H-K experiment.
- 35:29Speaker 1: G-H-K. Kelly, come on.
- 35:32Speaker 2: All right.
- 35:35Speaker 1: So Bell's experiment, very cool, but there's no smoking gun there.
- 35:39Speaker 1: And so people were wondering, can we invent an experiment
- 35:43Speaker 1: where there's an outcome from a single run of the experiment?
- 35:46Speaker 1: that shows you that only quantum mechanics can explain this, right?
- 35:50Speaker 1: Can it do something which is impossible under hidden variables?
- 35:54Speaker 1: Bell's experiment does something which is like less likely under
- 35:57Speaker 1: hidden variables. And if you run it often enough, you
- 35:59Speaker 1: can exclude it and say, okay, the outcomes don't seem
- 36:02Speaker 1: like hidden variables, but it doesn't do something which is
- 36:05Speaker 1: impossible under hidden variables. So people are like, can we
- 36:08Speaker 1: come up with an experiment where the universe does something
- 36:11Speaker 1: which is just flat out impossible under hidden variables? And therefore,
- 36:16Speaker 1: there must be quantum mechanics. And to do that, you
- 36:19Speaker 1: need three entangled particles. And that's why we're doing this
- 36:22Speaker 1: whole episode about three entangled particles, because this is what
- 36:25Speaker 1: GHK came up with.
- 36:26Speaker 2: But the payoff is now, people.
- 36:29Speaker 1: All right. So thank you to everybody who's curious about
- 36:31Speaker 1: this topic and stayed with us so far. We're about
- 36:33Speaker 1: to get weirder, all right? Oh, yay. Yeah. And so
- 36:37Speaker 1: this is a really strange explanation. What we're going to
- 36:39Speaker 1: do is we're going to describe an experiment with detectors.
- 36:43Speaker 1: And we're not going to explain how those detectors work.
- 36:45Speaker 1: We're going to describe an experiment, and then we're going
- 36:47Speaker 1: to design an outcome to that experiment that's possible in
- 36:50Speaker 1: quantum mechanics and impossible in hidden variables, okay? Okay. Without
- 36:55Speaker 1: being specific about how the detectors work, because we don't care.
- 36:58Speaker 1: So imagine we have something which entangles three particles and
- 37:02Speaker 1: then shoots them out in three different directions, okay? Okay.
- 37:06Speaker 1: And those particles then hit detectors, and each detector has
- 37:10Speaker 1: a switch on it. one or two. So you have
- 37:12Speaker 1: like a switch on it. It can be either in
- 37:13Speaker 1: state one or state two. And it also has two lights,
- 37:17Speaker 1: red and green. So the particles are entangled. They shoot out,
- 37:22Speaker 1: they get to each detector. And then each detector has
- 37:25Speaker 1: some algorithm that says, based on how the switch is set,
- 37:28Speaker 1: I'm going to either flash red or I'm going to
- 37:30Speaker 1: flash green. Okay. Okay. So you might be wondering like,
- 37:33Speaker 1: how does this detector work? Is it as simple as like,
- 37:36Speaker 1: if the switch is set to one, it flashes green.
- 37:38Speaker 1: And if a switch is set to two, it flashes red. Well,
- 37:41Speaker 1: we haven't set that up yet. We're going to start
- 37:43Speaker 1: instead from the outcome we want. We're going to devise
- 37:47Speaker 1: an outcome of this experiment, and then we're going to see,
- 37:50Speaker 1: can we build a hidden variables version that gives us
- 37:53Speaker 1: that outcome? And can we build a quantum mechanical version
- 37:56Speaker 1: that gives us that outcome? And somebody has already thought
- 37:58Speaker 1: about this and come up with an outcome that's impossible
- 38:02Speaker 1: for hidden variables and possible for quantum mechanics. That's where
- 38:05Speaker 1: we're going to walk through. And so we need to
- 38:07Speaker 1: think about what outcome do we want from this experiment?
- 38:11Speaker 1: given any of the settings of the switches. So like,
- 38:13Speaker 1: what if all the switches are one? What if all
- 38:15Speaker 1: the switches are two? What if two of the switches
- 38:18Speaker 1: are one and one of the switches is two? Okay,
- 38:20Speaker 1: so we're gonna design the outcome of the experiment so
- 38:23Speaker 1: that it's possible to do in quantum mechanics and not
- 38:25Speaker 1: possible to do in hidden variables. And we're gonna start
- 38:28Speaker 1: with what happens to this experiment. We have three detectors
- 38:31Speaker 1: and three switches. What happens to this experiment if one
- 38:34Speaker 1: detector has the switch set to one and two of
- 38:37Speaker 1: them have the switches set to two, okay? And what
- 38:40Speaker 1: we want is that in that scenario, we have three flashes, right?
- 38:44Speaker 1: Three detectors with three lights. We want an odd number
- 38:47Speaker 1: of them to be red. So we want like red, green, green,
- 38:52Speaker 1: or green, green, red, or red, red, red. Okay, that's
- 38:55Speaker 1: the possible outcomes. And then if all three switches are
- 38:58Speaker 1: set to one, like one on one, we want an
- 39:01Speaker 1: even number of reds. So if one of the detectors
- 39:03Speaker 1: has a switch at one, we want an odd number
- 39:05Speaker 1: of reds. If all three of them have switches at one,
- 39:09Speaker 1: We want an even number of reds. And the other
- 39:11Speaker 1: configurations don't matter. They're not interesting. So we've designed this outcome.
- 39:17Speaker 1: It feels kind of weird. We're thinking about how the
- 39:19Speaker 1: detectors will flash red and green given their lights, et cetera.
- 39:24Speaker 1: And so now let's think about, can we make this
- 39:27Speaker 1: happen in the hidden variables case? Can we design detectors?
- 39:31Speaker 1: Is it even possible to design detectors that respond in
- 39:34Speaker 1: this way if everything is predetermined? Remember, the particles can communicate.
- 39:39Speaker 1: They're entangled, so they can have some correlation between them.
- 39:42Speaker 1: And then they fly off to their detectors. And when
- 39:45Speaker 1: they get to the detector in the hidden variables version,
- 39:47Speaker 1: There has to be whatever information you need to flash
- 39:50Speaker 1: the right way based on whatever the particle has. So
- 39:53Speaker 1: in the hidden variables version, we can like write some
- 39:56Speaker 1: instructions into the particle. We can say like, all right,
- 39:59Speaker 1: if the switch is one, flash red. If the switch
- 40:01Speaker 1: is two, flash green, right? So we can give little
- 40:04Speaker 1: instructions to the particles. When they get to the detector,
- 40:06Speaker 1: they know which light to flash.
- 40:08Speaker 2: Sorry, I think I'm not totally following that. So the
- 40:10Speaker 2: particle arrives at the detector.
- 40:12Speaker 1: Yeah.
- 40:13Speaker 2: What is it doing to the detector to make it
- 40:14Speaker 2: flash a light?
- 40:15Speaker 1: It gets to decide. The particle arrives at the detector
- 40:17Speaker 1: and it gets to decide whether it flashes red or green.
- 40:20Speaker 2: And it doesn't matter if it's on one or two?
- 40:22Speaker 1: It decides based on whether the detector is at one
- 40:25Speaker 1: or two when it gets there. And it can't know
- 40:27Speaker 1: that in advance, right? Like, it gets to the detector
- 40:29Speaker 1: and it sees, okay, you're set one, I'm going to
- 40:32Speaker 1: flash red. Or set two, I'm going to flash green.
- 40:34Speaker 1: So each particle, you have to give a little instruction
- 40:36Speaker 1: set to say, when you get to the detector, here's
- 40:39Speaker 1: what to do depending on how the switch is set.
- 40:42Speaker 1: Here's which light to flash. Okay.
- 40:43Speaker 2: And so then just to be clear, we're doing like
- 40:45Speaker 2: a thought experiment that would help you understand what happened
- 40:49Speaker 2: in a more complicated experiment because you can't give particles
- 40:52Speaker 2: those kinds of instructions.
- 40:54Speaker 1: And we're not being specific about like, how would you
- 40:56Speaker 1: inscribe these instructions in the particle? Because we want to
- 40:58Speaker 1: be very general. We want this to apply to any
- 41:00Speaker 1: hidden variables theory, any way that you're inscribing this information.
- 41:04Speaker 1: That's why we're being sort of vague about it. Okay.
- 41:06Speaker 1: And so, you know, the particles don't know in advance,
- 41:09Speaker 1: is the detector set to one or two? They have
- 41:11Speaker 1: to be prepared for either outcome. And so they have
- 41:13Speaker 1: to know which light to flash when they arrive. And
- 41:17Speaker 1: so the question is, can you give each particle the
- 41:21Speaker 1: instructions it needs so that when it gets to the detector,
- 41:24Speaker 1: it satisfies our requirement? Our requirement was if only one
- 41:28Speaker 1: detector has switched one, you get an odd number of reds.
- 41:31Speaker 1: If all three have switched one, you get an even
- 41:33Speaker 1: number of reds. So let's consider the first case where
- 41:36Speaker 1: one detector is one and the other two are two.
- 41:39Speaker 1: So like the switches are like one, two, two, or two, two, one.
- 41:43Speaker 1: So you can devise a set of instructions to give
- 41:46Speaker 1: all your little particles so that when they get there,
- 41:49Speaker 1: they do the right thing. You know, for example, particle one,
- 41:52Speaker 1: you can say, flash me a red if you see
- 41:55Speaker 1: one and green if you see two. And the other
- 41:57Speaker 1: particles get the opposite instructions. Green if you see one,
- 42:00Speaker 1: red if you see two. And then for all the settings, one, two, two, two, one, two, two, two, one,
- 42:05Speaker 1: you always get an odd number of reds. And you
- 42:07Speaker 1: can sit down and work this out. And so that's cool.
- 42:10Speaker 1: You can actually inscribe the instructions into the particles in
- 42:12Speaker 1: the hidden variable theory. It works and you can get
- 42:15Speaker 1: the desired outcome for the case where one switch is
- 42:19Speaker 1: one and the other one are two. All right. Okay.
- 42:21Speaker 2: And the particle doesn't know what's happening at the other detectors.
- 42:24Speaker 1: That's right.
- 42:25Speaker 2: It only knows, yeah, what's happening at its detector and
- 42:27Speaker 2: you gave it instructions for what to do.
- 42:29Speaker 1: Exactly. We gave it instructions for what to do. So
- 42:31Speaker 1: we're devising some general hidden variable theory to give the
- 42:33Speaker 1: desired outcome for this case. The one of the switches
- 42:36Speaker 1: is one and the other two switches are two. And
- 42:39Speaker 1: there's exactly eight sets of instructions you can give that
- 42:43Speaker 1: make this work.
- 42:44Speaker 3: Okay.
- 42:44Speaker 1: And people went through and enumerated all of them. And like,
- 42:47Speaker 1: you know, the instructions are very simple. It's like red
- 42:50Speaker 1: if one, green if two or whatever. And you can
- 42:52Speaker 1: give different instructions to each of the three particles. And
- 42:54Speaker 1: so you have that freedom and there's eight different ways
- 42:56Speaker 1: to do it. That's cool. All right. Now, what about
- 43:00Speaker 1: the three switches or one case? Okay. Now the same
- 43:03Speaker 1: set of instructions have to work because you don't know
- 43:06Speaker 1: in advance how what the detectors are set to. And
- 43:08Speaker 1: somebody could even flip the switches after the particles have
- 43:12Speaker 1: been given their instructions and before they reach the detector.
- 43:14Speaker 1: So the instructions have to work for both cases, okay?
- 43:18Speaker 1: So in the three switches equals one case, you want
- 43:21Speaker 1: an even number of reds. Problem is that none of
- 43:25Speaker 1: the eight valid instructions that work for the other case
- 43:27Speaker 1: work for this case. So in the example I gave
- 43:29Speaker 1: you before where particle one gives a red, if you
- 43:32Speaker 1: see switch one and particles two and three give a
- 43:35Speaker 1: green if they see switch one, then that would give
- 43:37Speaker 1: you red, green, green, which is an odd number of reds,
- 43:40Speaker 1: which is wrong. We needed to give an even number
- 43:43Speaker 1: of reds for the three switches case. And there is
- 43:46Speaker 1: no way to write the instructions for the particles that
- 43:50Speaker 1: satisfies the one switch is set to one and the
- 43:53Speaker 1: three switches are set to one case. You can figure
- 43:55Speaker 1: out all the valid instructions for the one, two, two
- 43:58Speaker 1: case that works, but none of the valid instructions for
- 44:01Speaker 1: that case also work for the one, one, one case,
- 44:04Speaker 1: which means If you build this thing and you run
- 44:08Speaker 1: it and you set the switches to 1, 1, 1,
- 44:11Speaker 1: and you ever see an even number of reds, then
- 44:15Speaker 1: you know that it's not hidden variables because it's impossible
- 44:19Speaker 1: to write instructions for a hidden variable theory that ever
- 44:22Speaker 1: gives you an even number of reds when the detectors
- 44:25Speaker 1: are set to 1, 1, 1. It's just impossible. We
- 44:27Speaker 1: just proved it. There's no way to devise that experiment.
- 44:31Speaker 1: But fascinatingly, and this is why we started with this setup,
- 44:34Speaker 1: It is possible in quantum mechanics. You can organize your
- 44:39Speaker 1: particles and entangle them in the right way to maintain
- 44:43Speaker 1: superposition and correlations where you choose one and that affects
- 44:47Speaker 1: the other, right? The particles in the hidden variable theory
- 44:50Speaker 1: can't talk to each other at all. They have the
- 44:51Speaker 1: instructions and they go off and they do their thing.
- 44:53Speaker 1: But in quantum mechanics, what happens to one particle can
- 44:56Speaker 1: affect the other particles, right? Okay. So you can build
- 44:59Speaker 1: a quantum mechanical version of this, which does have this outcome.
- 45:03Speaker 1: which when you set all the detectors to 111, gives
- 45:05Speaker 1: you an even number of reds. And it works on
- 45:09Speaker 1: measuring particle spin in different directions. And you can have
- 45:12Speaker 1: like little devices that measure their spin. If it's spin up,
- 45:15Speaker 1: you get red. If it's spin down, you get green.
- 45:18Speaker 1: And the key to the quantum mechanical setup is how
- 45:20Speaker 1: you entangle those three particles. You have to create this
- 45:23Speaker 1: special state where you have the possibility of them being up, up, up,
- 45:27Speaker 1: and the possibility of them being down, down, down, but
- 45:30Speaker 1: you combine those two states with a minus sign instead
- 45:33Speaker 1: of a plus sign. And that gives you all the
- 45:36Speaker 1: exact correlations that you need and gives you exactly the
- 45:40Speaker 1: right behavior for all the conditions that we set up before,
- 45:42Speaker 1: no matter what the detector switches are set to. And
- 45:46Speaker 1: this was a theory first, like people came up with
- 45:48Speaker 1: this idea. They're like, okay, it's possible to do this
- 45:51Speaker 1: in quantum mechanics. It's impossible to do it with hidden variables.
- 45:56Speaker 1: But it was just like a thought experiment. So these guys, Greenberger, Horn,
- 46:01Speaker 1: and Zellinger are the first ones to think up this experiment.
- 46:04Speaker 1: And it was really complicated. It was really hard to understand.
- 46:06Speaker 1: A guy named David Merman, who's a physicist and an
- 46:09Speaker 1: expert in quantum mechanics, he simplified it. He came up
- 46:12Speaker 1: with this red-green detector switch one-two thing. And if you
- 46:17Speaker 1: can believe it, that's the simpler version of the description.
- 46:20Speaker 1: It's already like a lot to absorb. Then people actually
- 46:24Speaker 1: went and did it. They built these devices. So guys
- 46:27Speaker 1: named Pan, Baumister, Daniel, Weinfurter, and Zellinger of GHZ, who
- 46:32Speaker 1: came up with this, actually built this thing and they
- 46:34Speaker 1: made it work in the year 2000. And they got
- 46:37Speaker 1: that outcome. They got an even number of reds when
- 46:40Speaker 1: they set the detectors to 111, even though it's impossible
- 46:44Speaker 1: for that to happen in the hidden variables theory. And
- 46:47Speaker 1: then Zellinger won the Nobel Prize in 2022 for helping
- 46:51Speaker 1: close some of these hidden variable loopholes And that's because
- 46:55Speaker 1: of this smoking gun result. He made the universe do
- 47:00Speaker 1: something that's proven to be impossible with hidden variables and
- 47:04Speaker 1: only possible in quantum mechanics. And so you run the experiment,
- 47:08Speaker 1: you get an even number of flashes. It's definitely impossible
- 47:12Speaker 1: with hidden variables. That single run of the experiment shows
- 47:15Speaker 1: you that there can't be hidden variables there.
- 47:17Speaker 2: Was there a physics party when all the red lights
- 47:20Speaker 2: lit up?
- 47:23Speaker 1: I wonder what that moment was like because you've thought
- 47:26Speaker 1: about the theory. You already think quantum mechanics does describe
- 47:29Speaker 1: the universe. So this is just a demonstration. But to
- 47:32Speaker 1: actually see it happen, it must be really thrilling. Those
- 47:35Speaker 1: are the moments when you force the universe to reveal
- 47:38Speaker 1: an answer to you. You know, that's what experimental science
- 47:41Speaker 1: is all about. I think a lot of people underestimate
- 47:44Speaker 1: the creativity required in experimental physics. They think theory is
- 47:48Speaker 1: where the brains are at. But, you know, experiment requires
- 47:51Speaker 1: a different kind of creativity. You have to conduct these experiments.
- 47:55Speaker 1: You have to build these situations that force the universe
- 47:58Speaker 1: to reveal option A or option B, right? And boy,
- 48:02Speaker 1: this was complicated and creative. And I didn't think it
- 48:05Speaker 1: was even possible. I thought Bell's experiment was it, that
- 48:09Speaker 1: all we had was this sort of subtle pattern of correlations.
- 48:12Speaker 1: And so for somebody to come up with this convoluted
- 48:15Speaker 1: setup that's impossible for hidden variables, impossible for quantum mechanics,
- 48:19Speaker 1: and then you have this moment. When you're like, you
- 48:21Speaker 1: run the thing, you press the button, the lights flash,
- 48:24Speaker 1: the universe is telling you how it works. Wow, what
- 48:27Speaker 1: a thrill.
- 48:27Speaker 2: Yeah, that does sound amazing. And I'll note that you
- 48:30Speaker 2: might be able to force the universe to give up
- 48:32Speaker 2: her secrets, but you can't force Daniel and Kelly to
- 48:34Speaker 2: get names right. And so I'll note that we've referred
- 48:37Speaker 2: to this idea as the GHK and the GHZ experiment.
- 48:42Speaker 2: And I think it's the GHZ, right?
- 48:44Speaker 1: It's definitely the GHZ. Yes, exactly.
- 48:47Speaker 2: Okay.
- 48:48Speaker 1: That must just be a typo on my part. Sorry.
- 48:50Speaker 1: Apologies to Z and your Nobel Prize.
- 48:53Speaker 2: I'm guessing that Z is sleeping just fine at night. Yeah.
- 48:56Speaker 1: All right, everybody.
- 48:57Speaker 2: Thank you so much for listening. And thank you so
- 48:59Speaker 2: much for sharing your questions about the universe with us.
- 49:01Speaker 2: If you'd like to share a question with Daniel, you
- 49:03Speaker 2: can write at questions at danielandkelly.org. I will be taking
- 49:07Speaker 2: biology questions again. Not until 2027, though, because I've gotten
- 49:10Speaker 2: so many amazing questions from you all. I just need
- 49:12Speaker 2: a moment to catch up. But we look forward to
- 49:14Speaker 2: explaining another topic to you again next time.
- 49:24Speaker 1: Thanks everybody for listening. Please go and do us a
- 49:26Speaker 1: favor and rate the show on whatever podcast app you're using.
- 49:30Speaker 1: It really helps people find us.
- 49:32Speaker 2: Daniel and Kelly's Extraordinary Universe is edited by the amazing
- 49:36Speaker 2: Matt Kesselman.
- 49:37Speaker 1: He really is a wizard. You can also find us
- 49:40Speaker 1: online on Blue Sky, Instagram, and X, D & K Universe.
- 49:45Speaker 1: Come engage with us.
- 49:47Speaker 2: You can email us at questions at danielandkelly.org. We really
- 49:51Speaker 2: do want to hear from you.
- 49:52Speaker 1: And you can find our website, www.danielandkelly.org, where you'll also
- 49:57Speaker 1: find an invitation to join our Discord, where everybody comes
- 50:01Speaker 1: and talks about the amazing universe.
- 50:03Speaker 2: And we also have the most amazing moderators. This is
- 50:07Speaker 2: an iHeart podcast. Thanks for joining us.