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STFC-RAL-CR03  R61: Because I haven't seen you. No, no, I've seen you many times in the… Yeah, I go in for 15, and then go back to my office.

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STFC-RAL-CR03  R61: It's the going from the Schengen area to the launcher area. Where there's a queue that goes right the way down the turn.

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STFC-RAL-CR03  R61: But it sounded like the other day they'd given off with this, you know, good morning, everyone. It is a pleasure to welcome you today to the seminar, Cyber Spin Model, Black Pole Geometry, Chaos, and Quantum Teleportation. Now, at first hearing, this title might sound like it belongs to more in a science fiction script than in a physics seminar.

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STFC-RAL-CR03  R61: Black holes, transportation, teleportation, and quantum chemistry, all in one place.

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STFC-RAL-CR03  R61: But the interesting part is that none of this is speculative fiction.

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STFC-RAL-CR03  R61: It is a concrete and rapidly developing line of research at the interface of condensed metaphysics, quantum information, and quantum reality.

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STFC-RAL-CR03  R61: Today's talk explores how relatively simple quantum many-body systems, specifically

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STFC-RAL-CR03  R61: Higher state chains can reproduce remarkable deep phenomenon.

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STFC-RAL-CR03  R61: From space-time geometry and Hawkins radiation to quantum chaos and information transfer protocols, such as Haydn, Presque.

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STFC-RAL-CR03  R61: This reflects a broader shift in modern theoretical physics.

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STFC-RAL-CR03  R61: Using controllable quantum systems as laboratories.

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STFC-RAL-CR03  R61: For ideas that were once thought to belong exclusively to energy fillets, or scale-up linoleic experiments.

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STFC-RAL-CR03  R61: It is my pleasure to introduce our speaker, Professor Yamis K. Paltros. He's a professor of theoretical physics at University of Leeds. His research focuses on topological phases of matter and quantum information.

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STFC-RAL-CR03  R61: With particular emphasis on topological, quantum computation, and the role of

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STFC-RAL-CR03  R61: Amnionic excitations in rover spontane processing.

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STFC-RAL-CR03  R61: He has made significant contributions to our understanding of how concepts

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STFC-RAL-CR03  R61: From quantum field theory, condensed matter, and quantum information, interact.

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STFC-RAL-CR03  R61: And in the… and he is the author of the widely used monograph.

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STFC-RAL-CR03  R61: Titled, Introduction to Topological Quantum Communication.

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STFC-RAL-CR03  R61: To be?

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STFC-RAL-CR03  R61: He will present a perspective that brings these thirds together in a particularly striking way, linking spin systems to black hole physics and quantum information flow.

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STFC-RAL-CR03  R61: Please join us.

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STFC-RAL-CR03  R61: Please join me in welcoming Prophet.

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STFC-RAL-CR03  R61: Thank you so much for the kind introduction, generous, actually. Thank you, I'm pretty excited to be here and give a talk to you. I started as a high-energy physicist, so that's my first love, and you know how the story goes.

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STFC-RAL-CR03  R61: I would like to tell you about quantum simulation of

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STFC-RAL-CR03  R61: properties of a black hole. And, let me justify Y simulation. It's, a simulated… you have the fundamental

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STFC-RAL-CR03  R61: theory, a model, and then you have the simulation of it. What can you, gain by doing a simulation? For me, an analogy, of, it explains it better.

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STFC-RAL-CR03  R61: Appreciate it.

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STFC-RAL-CR03  R61: If you want to… if you have emotions, this is an important thing, and you have language that describes it. Now, if you… you can use language to articulate emotions, and that helps you to understand them, it helps you to control them, and it helps your partner also to… to explain you how things should be. So, I believe simulations can

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STFC-RAL-CR03  R61: helps a lot.

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STFC-RAL-CR03  R61: And what I'm trying to present to you today

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STFC-RAL-CR03  R61: Is, a single model, rather simple.

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STFC-RAL-CR03  R61: That its quantum is a spin model, a spin chain, and its quantum properties can give rise to different aspects

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STFC-RAL-CR03  R61: of black holes, fund masters of black holes that were interested, and, topic of, of, intense research,

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STFC-RAL-CR03  R61: Chrissy.

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STFC-RAL-CR03  R61: Let me give you a little bit of a picture, but there's a big group working on me. There are a few more people who are not there. Ryan is a big driving force to what I'll talk about today.

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STFC-RAL-CR03  R61: Andrew, at the post office is, is making sure these, his students are happy, and, and don't,

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STFC-RAL-CR03  R61: Go against me. Yassum, Matthew, and Tanme, and there's Ian as well.

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STFC-RAL-CR03  R61: and Aiden, and so on. So there's a big number of people, working on this particular topic, actually, and there's a

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STFC-RAL-CR03  R61: number, large number of papers that we produce, but I don't want to go into, technicalities today. I want to present you the model, and I want to explain to you

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STFC-RAL-CR03  R61: How to get a… to use this model to get a glimpse to the fundamental theory that we would like to understand.

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STFC-RAL-CR03  R61: And if I fail to do that, my top also has some entertainment value. It won't be wasted. A bit of an outline.

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STFC-RAL-CR03  R61: So, the… the…

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STFC-RAL-CR03  R61: Properties of black holes that fascinate people is the Hawking radiation. This is a purely quantum phenomenon. We know black holes, classical particles, cannot escape when they fall inside the horizon, but quantum particles or under particles, as they predicted, can actually escape.

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STFC-RAL-CR03  R61: And give rise to this fucking effect, actually escape in a very particular way that they look firm.

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STFC-RAL-CR03  R61: Signed?

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STFC-RAL-CR03  R61: And also, another topic that attracted interest the last, 20 years, pits a lot is the, chaotic behavior inside the black hole. So the gas of the black hole are, are really bubbling in terms of quality properties, strong correlations that create,

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STFC-RAL-CR03  R61: Optimal scrambling of information, optimal messing, let's say, of information.

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STFC-RAL-CR03  R61: And apparently, these properties do emerge.

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STFC-RAL-CR03  R61: So it should be the, you know, value description of the blog.

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STFC-RAL-CR03  R61: I'm… What I'll present to you instead is a single toy model.

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STFC-RAL-CR03  R61: Okay, it's a spring chain that has some chiral interactions, I'll define them, and what we see is that, similar to graphene that gives, rise

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STFC-RAL-CR03  R61: to the relativistic Dirac Fermions in the low energy limit. Similarly here, we'll get a quantum field theory description of this.

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STFC-RAL-CR03  R61: sweet chain, and… We see how curve geometry emerges.

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STFC-RAL-CR03  R61: And that, if you had curved geometry that communicates a black hole.

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STFC-RAL-CR03  R61: horizon, and you can, observe

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STFC-RAL-CR03  R61: talking radiation, as we can extract it. And also from the same model, you can observe the chaotic behavior. And actually, something I'll try to convince you is that we do get the optimal scrambling. Of course, that's numeric.

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STFC-RAL-CR03  R61: As we have a single model that can do both, we can look

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STFC-RAL-CR03  R61: properties or phenomena of black holes that, need both of these, effects, to, to, to, come together. And the, the phenomenon that

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STFC-RAL-CR03  R61: applied model is this quantum teleportation.

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STFC-RAL-CR03  R61: black holes, and this… Hayden and Presque introduced this protocol to explain how quantum information can be teleported from inside the black hole to the outside. In order to do that, so they devised it in order to explain

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STFC-RAL-CR03  R61: Information pirates of black holes.

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STFC-RAL-CR03  R61: And how they do it is by allowing talking radiation

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STFC-RAL-CR03  R61: So quantum matter to escape from inside the black hole to the outside, and also they use the scrambling properties of a black hole, and that's what catapults, if you like, the quantum states from inside to the outside. So it's an ideal, let's say, phenomenon to be described with our model, and I'd like to…

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STFC-RAL-CR03  R61: To present that to you.

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STFC-RAL-CR03  R61: At the same time, As our model is a spin model.

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STFC-RAL-CR03  R61: These are, like, qubits, can encode the whole thing on a quantum computer and, simulate it and see these properties in an actual experiment.

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STFC-RAL-CR03  R61: Physics similar to Eisen or XY model of Heisenberg, condensed model physicists say hi.

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STFC-RAL-CR03  R61: You can, well, what you do is, actually, you're cheating. Oh, we are cheating. Yeah, because you're… you go high energy, you go, you have your theory, and then you introduce cut-offs and so on, so you… so you…

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STFC-RAL-CR03  R61: And then you can get some black boat faces.

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STFC-RAL-CR03  R61: Let me…

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STFC-RAL-CR03  R61: Very carefully put the comma between these two. I never talk about the illumination of the two. And disclaimer, I want to give my friends. So the black hole is an object.

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STFC-RAL-CR03  R61: Okay, and surprisingly, it, it's, it's a, it's a, it's an object that we can extract information out of it, these quantum properties, without actually having, equivalent gravity.

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STFC-RAL-CR03  R61: more than a viable funding of quality restriction.

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STFC-RAL-CR03  R61: And that's because it's so extreme opposite with its curvature and its properties, and its singularities and so on, that you can say something about it.

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STFC-RAL-CR03  R61: For example, we know that in the simplest limit, we should apply gravity to get Hofley radiation.

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STFC-RAL-CR03  R61: And, in the fully interactive unit.

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STFC-RAL-CR03  R61: Have the optimal strangling upon the strong correlation and the physics.

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STFC-RAL-CR03  R61: This property has been recently probed by the SYK model, and this is a photographic view to a black hole. The SYK view is not a black hole.

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STFC-RAL-CR03  R61: system, it's a holographic deal, and we know that the scrambling properties of this model and the scrambling properties of this model will be equivalent, will be the same, but this is not a geometric model, that's just

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STFC-RAL-CR03  R61: It's youable, yeah.

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STFC-RAL-CR03  R61: And people demonstrated analytically, and also recently, numerically, that this is why they modeled PD as optimal scrambling behavior.

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STFC-RAL-CR03  R61: So that you're using that wave that the black hole We want this one dimension.

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STFC-RAL-CR03  R61: So, okay, this is my, favorite slide. These are the results.

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STFC-RAL-CR03  R61: Okay, I'll give you the nature version of the talk, first the results, and then the methods. I'll present again this same slide at the end, maybe impacts you differently, and what… let me describe you.

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STFC-RAL-CR03  R61: We have a spin chain.

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STFC-RAL-CR03  R61: And it's subject to Hamiltonian as a polymatrices.

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STFC-RAL-CR03  R61: Here's the XY battery fraction, and here's the character, sigma dot sigma across sigma.

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STFC-RAL-CR03  R61: It tries to keep the spins as, as, disoriented as possible, 3 successive spins as apart as possible in orientation.

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STFC-RAL-CR03  R61: I have couplings U and B.

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STFC-RAL-CR03  R61: I will keep view of this. This is a free kind of login, and keep that constant, so you can remove it if you like, so keep it constant throughout the chain.

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STFC-RAL-CR03  R61: And what I'll do is I'll change the carbonic view of the carbon interactions to be large on one side, and then we'll go small across this carbon, and they will become zero at some point.

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STFC-RAL-CR03  R61: So I'll be changing that in space. It won't be a constant, it should be in here, actually. So this V is position-dependent, and will be changing in space, and what we see is that the point where V is larger than U is the inside of the black hole.

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STFC-RAL-CR03  R61: The region where we is smaller than usually outside of the black hole.

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STFC-RAL-CR03  R61: You have a,

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STFC-RAL-CR03  R61: The expectation value of this operator actually is non-zero here, and it's zero here of the title of the term.

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STFC-RAL-CR03  R61: So, if you like, have… my chain has a chiral face here and a non-chiral face here, so there's two materials, let's say, that combine or attach each other, and the interface between these two materials is what we would call the horizon.

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STFC-RAL-CR03  R61: I will demonstrate all these things, of course, analytically.

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STFC-RAL-CR03  R61: But there is an interesting aspect, is that if you go into the continuum lead of this model, similar to graphing, you'll see that you get the dispersion relation, or the live cones, outside here, so this XY term will give you the normal type of light cone.

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STFC-RAL-CR03  R61: And as you increase speed, in position as you move this direction. This lichen will be tilting.

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STFC-RAL-CR03  R61: Okay, this is one particular description of the black hole geometry. You tilt this, and when it over-tilts and both future directions point towards the center of the black hole, classically no path is going to stay.

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STFC-RAL-CR03  R61: At the same time as this causes the tilting.

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STFC-RAL-CR03  R61: also introduces interactions. This is a free part, this is interacting as you increase it, the interactions here are strong, and that's where the chaos comes in.

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STFC-RAL-CR03  R61: So, this term does two things. It tilts.

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STFC-RAL-CR03  R61: creates a horizon. When it becomes strong, it introduces, strong correlations in the air quality.

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STFC-RAL-CR03  R61: Also, when this V is small, here you are in the semi-classical regime. Mean field theory is, well defined, and it's exactly… you get the geometric properties.

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STFC-RAL-CR03  R61: All right, let me now take it easy, and I'll get back to this slide. It's just the one that's flashing in front of you. Let me take it easy and take you through a few, then smarter steps, let's say.

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STFC-RAL-CR03  R61: The, this is the XY model, it's XX between neighboring plus Y. This S is the polymatrices, really.

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STFC-RAL-CR03  R61: And I have a chain, I have the sides, I have the spins, living there.

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STFC-RAL-CR03  R61: And what we do is this General Widener transformation, that you translate the spin half particles into fermions. These are C, lattice fermions, if you like. So you can think that have, C fermions on every side.

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STFC-RAL-CR03  R61: And I'm just tunneling from one side to the other, and back goes here and there. That's the physics business front.

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STFC-RAL-CR03  R61: You can diagonal line this Hamiltonian by a Fourier transformation. It's very similar to, to graphing, and if you…

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STFC-RAL-CR03  R61: Introduce a unit cell that has two sides, then the… the…

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STFC-RAL-CR03  R61: dispersion relation, the energy over momentum, has these two branches, if you like, and this is a negative energy, this is positive, because it's a firmament, we fill it up all the way to zero in order to get a ground state. And the low energy physics is given by this cone here.

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STFC-RAL-CR03  R61: And indeed, for small energies near the ground state, you get this linear dispersion relation, so to rate, we have a Dirac particle, a one-dimensional Dirac particle.

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STFC-RAL-CR03  R61: I'll be changing the cappings, or like, for example, the V and so on, or the U, and that will be,

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STFC-RAL-CR03  R61: massaging this Iraq.

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STFC-RAL-CR03  R61: home, and that will be interpreted as geometry, background geometry. Similarly, I could be massizing this cabin in a slightly different way, and I'll be encoding a gauge field. Okay, classical background gauge field, and then you can

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STFC-RAL-CR03  R61: But today, I'll be speaking up, only restrict myself only to the geometric.

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STFC-RAL-CR03  R61: Next… I'll be adding, this.

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STFC-RAL-CR03  R61: type of interaction. And this involves three spins. This involves 2 spins, this has three spins. That's why I now make my chain into a triangular, let's say, ladder.

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STFC-RAL-CR03  R61: Each of these at the G3 spins here, and then I have another 3, and another 3, and so on. So the chirality is probably the chirality term, I have pi 0, pi one, pi 2, and so on.

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STFC-RAL-CR03  R61: Arms.

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STFC-RAL-CR03  R61: I tend to…

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STFC-RAL-CR03  R61: Jordan Wigner transformed, the full Hamiltonian, and while this term gives me only the paneling fermions, this one gives me several things. Gives me paneling fermions between next to nearest neighbors, so I'm

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STFC-RAL-CR03  R61: Jumping between two, either on the blue ones or on the red ones, the two strands of the ladder.

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STFC-RAL-CR03  R61: And also, it gives you this…

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STFC-RAL-CR03  R61: interaction term, actually. This tells you that I can channel from here to there, control to the population on the third site.

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STFC-RAL-CR03  R61: You see, now that's, like, that's like a Gates theory, right? That's what Gates theories are changing. See, that's your Gates field, you know, you have the line kind of effects here. But now this is gravity, yes?

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STFC-RAL-CR03  R61: Module constraints involves those, and so on.

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STFC-RAL-CR03  R61: a Zoom kind of interaction.

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STFC-RAL-CR03  R61: And interestingly, these two terms

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STFC-RAL-CR03  R61: And this is caused by that. This term is what tilts your cones.

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STFC-RAL-CR03  R61: Changes the… the direct tones into…

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STFC-RAL-CR03  R61: symmetric tilting ones, that imposes geometry, while this term poses the interactions, the scrambling. It's amazing that this actually serves both

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STFC-RAL-CR03  R61: Use. What's an effect.

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STFC-RAL-CR03  R61: No problem.

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STFC-RAL-CR03  R61: Yes. Yes, that's right, yes.

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STFC-RAL-CR03  R61: Let's move to the same classical… is there a glove somewhere?

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STFC-RAL-CR03  R61: It's okay, I'm keeping the… Yes, yeah, stop mute. So…

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STFC-RAL-CR03  R61: First of all, we moved to the same Glasgow regime, because this is an interactive Miltonian, we can't exactly solve it, so we can't…

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STFC-RAL-CR03  R61: Classically, this is equivalent to medium field theory, it's a consistent way how to get a free model, let's say, out of interacting, and indeed, it keeps the first two terms that we have.

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STFC-RAL-CR03  R61: And then we can diagonalize it to see what's the dispersal relation.

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STFC-RAL-CR03  R61: It is very similar, it's a live cones, so… so you can think of it as live cones. And what you see is that for V0, you have the use of…

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STFC-RAL-CR03  R61: sparsial relation, and as you increase V, it tilts, and then at some point, it over… sorry, it tilts, and at some point, it over-tilts, both.

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STFC-RAL-CR03  R61: Group velocities now point inwards.

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STFC-RAL-CR03  R61: And that tells you that particles come up asleep, but antibiotic groups.

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STFC-RAL-CR03  R61: Excuse me.

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STFC-RAL-CR03  R61: So this is, yeah, I believe.

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STFC-RAL-CR03  R61: positive sign. Of course, we need to do the, the analysis a bit more carefully. This is the ladder that we had, we introduced the spinner, or…

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STFC-RAL-CR03  R61: That, includes the amplitude of this side and the amplitude of this side. So this is my unit cell. This is the spinner I will be using. You can create, transform it, expand it near the low energy limit.

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STFC-RAL-CR03  R61: And what you get is a linear dispersion relation, but also you get a spy by an either

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STFC-RAL-CR03  R61: Which is related to the metric DV mu.

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STFC-RAL-CR03  R61: This is really the group velocity of your particle along here, and if you change it, it means you change the, the spy bounds, which means that it creates curvature.

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STFC-RAL-CR03  R61: This particular, if you… if you do the steps carefully, you see that you have this metric, this is… has all the terms as well, and if each, if you increase, if V is 0,

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STFC-RAL-CR03  R61: And then you increase it to something larger than 2 U.S. 2 floating everywhere around here that have been, not careful.

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STFC-RAL-CR03  R61: Allow me that.

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STFC-RAL-CR03  R61: So if these larger than you or to you.

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STFC-RAL-CR03  R61: that case. This changes sound, but see notes that I'm seeing faster variance.

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STFC-RAL-CR03  R61: Which is about…

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STFC-RAL-CR03  R61: Okay, so you can encode a Dirac particul, this is a Dirac-Hamiltonian single particle, field theory, Dirac-Hamiltonian.

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STFC-RAL-CR03  R61: in the metric, this bootstrap, this LeBay metric.

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STFC-RAL-CR03  R61: If I keep deep, fixed constants throughout my chain.

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STFC-RAL-CR03  R61: I don't have geometry, I just have one born assistant and another board assistant. But if V changes, then this metric

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STFC-RAL-CR03  R61: can be differentiated as non-zero differentiations, and then curvature arises. And indeed, what we do is, along the chain, we change speed from zero to something non-zero.

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STFC-RAL-CR03  R61: Here is where curvature, of course, emerges. When it's constant, there's no curvature.

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STFC-RAL-CR03  R61: We choose what provider we give. We can give,

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STFC-RAL-CR03  R61: such shape profile, maybe anything we like, really. Doesn't satisfy the Einstein equations so far, but we can…

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STFC-RAL-CR03  R61: encode it to any profile we like. And indeed, by having from zero to something high, large and non-zero, we have this chiral phase, non-chiral phase, and the interface between the two. So indeed.

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STFC-RAL-CR03  R61: This describes, black… simulates a black hole physics.

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STFC-RAL-CR03  R61: So this is an anode, basically, of the black hole, because you've got that metric there, which is different to the black hole metric, because you've got that DT by DX term.

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STFC-RAL-CR03  R61: Which would not be there in a normal, say, swap-swell metric.

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STFC-RAL-CR03  R61: That one's there.

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STFC-RAL-CR03  R61: So that's the GM over RC square.

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STFC-RAL-CR03  R61: That, that gives you the radius of the black hole. Oh, right, yes, I could put here, that's right, I could put here, depending on the profile that is used here, I could have a statue. Yes. Here, that's right, in these coordinates.

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STFC-RAL-CR03  R61: You can have regular coordinates, you can have these GP coordinates, this is equivalent. Yes. Now, the curvature has to be the same, and indeed, I can… the curvature depends on the derivatives of P, and this I cannot, and this I can choose to be spark shape, that's right, yes.

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STFC-RAL-CR03  R61: So you're free to do that. It's just that for this particular spin model, you get the GP metric. I'll show you later on how to get the

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STFC-RAL-CR03  R61: Riddler, Metric, and how this actually does, describe a platform.

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STFC-RAL-CR03  R61: Okay, let me now describe you the Hawking radiation. Again, we have a black hole.

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STFC-RAL-CR03  R61: you can prepare this two-dimensional generalization to this one. We prepare a state inside the black hole found state, and then we let it evolve, it will move outside the horizon, and then we project the outside state to the outside Hamiltonian, and we look

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STFC-RAL-CR03  R61: what is the dispersion? The populations?

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STFC-RAL-CR03  R61: On, off, oof.

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STFC-RAL-CR03  R61: of the state, on different eigenstates of the outside Hamiltonian, and we see that we get this exponential

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STFC-RAL-CR03  R61: Which means that we have a third state, so that it fits well to this thermal.

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STFC-RAL-CR03  R61: distribution… sorry, what is the meaning of the color scale on this plot here in the middle? The city of your wave function. Okay, yes, let's do… yes, the city of the wave function.

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STFC-RAL-CR03  R61: And… but the important thing is that you get the thermal states, if you look at it only on the outside, Hamilton energy, you trace out the inside.

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STFC-RAL-CR03  R61: exactly at the horizon. You have this thermal distribution, and the temperature that appears here is the holding temperature, depending on the profile of V. So you use a certain profile, the curvature of V,

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STFC-RAL-CR03  R61: at the horizon, or the gradient horizon, gives you the Hawking temperature, and you… you… and you see that the lead for various

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STFC-RAL-CR03  R61: gradients of V, and for various radiuses.

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STFC-RAL-CR03  R61: the hooking temperature. What you measure

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STFC-RAL-CR03  R61: Numerically, out of this time revolution, agrees with the curvature at the horizon, which is an unbelievable thing in that.

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STFC-RAL-CR03  R61: The things that are here.

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STFC-RAL-CR03  R61: depend only on the curvature there. It's the universal effect.

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STFC-RAL-CR03  R61: Okay, so that's the picture.

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STFC-RAL-CR03  R61: of things that we did afterwards, but let me describe it now in the one-dimensional setting. So we have our

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STFC-RAL-CR03  R61: our chain, we have the profile that is large, V is small, big, here and there.

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STFC-RAL-CR03  R61: We prepare a pulse inside the platform.

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STFC-RAL-CR03  R61: And then we let it evolve.

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STFC-RAL-CR03  R61: It will go left and right, but the time that goes to the right, it will be

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STFC-RAL-CR03  R61: Reflected on the horizon after it, and activate will be transmitted.

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STFC-RAL-CR03  R61: And the transmitted part actually has a thermal distribution when

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STFC-RAL-CR03  R61: projected on the eigenstates of the outsectional. So what happens? We… here is space, and here is time. We prepare a path here, we put a path to really

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STFC-RAL-CR03  R61: And then we let it evolve. Some of it will go left, some of it right. When it reaches the horizon, it will be reflected, and some small part, this is very weak, this is a logarithmic scale, some of it will go outside. There's a very, very small part that does manage to escape.

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STFC-RAL-CR03  R61: But the unbelievable thing is that It looks terrible.

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STFC-RAL-CR03  R61: It's not truly thermal, this is a 300 ton, right? But if you project it on the full part, it's thermal.

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STFC-RAL-CR03  R61: Not only that, the temperature is fixed. That depends on the derivative, exactly at the horizon.

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STFC-RAL-CR03  R61: And we repeated that same,

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STFC-RAL-CR03  R61: For different positions of the… of the initial here, the other.

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STFC-RAL-CR03  R61: It's pretty flat, and you can change the position of the horizon. It's pretty flat on the insert.

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STFC-RAL-CR03  R61: the, this time of illusion.

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STFC-RAL-CR03  R61: gives you always a Hulking temperature. It's a universal effect, doesn't depend on many details of your model. And of course, if you come from black hole communities, then yeah, sure, that's Hulking radiation. But if you come from a condensed matter community, you put two

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STFC-RAL-CR03  R61: materials, one parallel, non-parallel into context, and then what you tell them is that if you…

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STFC-RAL-CR03  R61: With the population moves outside.

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STFC-RAL-CR03  R61: It will be thermal, and the temperature will be flat. So you can predict the thermal properties of this system as a universal properties of this system, which is pretty amazing, if you think about it.

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STFC-RAL-CR03  R61: Now, numerically, we can probe thermal properties.

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STFC-RAL-CR03  R61: fine eigenstates, and so on. But experimentally, it's hard to see if a system is thermal or not. So we devised another way how to measure the temperature of the system.

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STFC-RAL-CR03  R61: We monitor the populations at the single site over shade here, and at the beginning, these populations are zero.

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STFC-RAL-CR03  R61: And as,

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STFC-RAL-CR03  R61: Half of the wave counts and transmits, this population will increase, and then will go back to zero.

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STFC-RAL-CR03  R61: So by monitoring one side here, we see that we get this type of behavior.

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STFC-RAL-CR03  R61: If we change the the slope.

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STFC-RAL-CR03  R61: Yeah.

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STFC-RAL-CR03  R61: the temperature changes, and what we notice is that this, care of this population will peak at different times. So by monitoring the times where the peak happens, we

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STFC-RAL-CR03  R61: We draw this line. This is the time where this curve peaks. It goes on the line as inverse walking temperature.

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STFC-RAL-CR03  R61: So if we set two points, let's say, and we calibrate this line, then we can

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STFC-RAL-CR03  R61: measure when it peaks and when we decide what temperature this black hole corresponds to. This is a way how to monitor the temperature without having to call the thermal progress. So for assisted with experimental, it's very hard.

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STFC-RAL-CR03  R61: So your V prime here is the acceleration that's generated as a result of the… of the surface, but it's the curvature of the space-time that's causing that. Yes, exactly. Yes.

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STFC-RAL-CR03  R61: Yes, sir.

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STFC-RAL-CR03  R61: This is the universality. I mean, this is… the derivative at the horizon determines the properties of the system far away. This is… anything else, if I had some homogeneities, randomness interactions, this result was still the same. It's pretty cool, actually, from a word that comes my other half. This is, like… So, if we go back to the articles that are inside, they're coming up to the boundary.

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STFC-RAL-CR03  R61: The event horizon.

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STFC-RAL-CR03  R61: Isn't it just tunneling?

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STFC-RAL-CR03  R61: Yes, so this is a quantum testing process. Collaborators explain the fact that it's paneling, and the idea is that it

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STFC-RAL-CR03  R61: Transmission and reflection rates on the paneling depend on the energy of the mold that comes in, and that causes the, makes it

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STFC-RAL-CR03  R61: It makes the distribution to be like that, because it's energy dependent, that's right, indeed.

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STFC-RAL-CR03  R61: Okay, so I described the hot radiation.

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STFC-RAL-CR03  R61: It's 7 minutes past, just now. Yeah, 10 minutes. I have 10 minutes already. 20 minutes. Yes.

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STFC-RAL-CR03  R61: We can see that misinteracting term actually causes disease. It can be chaotic. Now, the question, if it's optimally chaotic, people use, these autos, of the time, or the correlators, which basically tells you that

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STFC-RAL-CR03  R61: I want to probe the profits from the Hamiltonian, so I put the thermal state… And then I evolved

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STFC-RAL-CR03  R61: I have two operators here. They hold one in time, and the other I can buy, and I create these four

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STFC-RAL-CR03  R61: operators, at zero time, time t, 0 to t, while I distribute the row in this particular way, okay? I do that because I want to have some,

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STFC-RAL-CR03  R61: good properties, yes, of my, of my relator here. I, I scaled it so that it's equal to 1 and 0, and I look at it, apparently. So basically, if you want something in time with a certain Hamiltonian, what's its relation with the original state you had?

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STFC-RAL-CR03  R61: And when this goes to zero fast, or exponentially fast, then it means that we have interactions and chaos.

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STFC-RAL-CR03  R61: And the fastest possible way that we lose information between the initial state and the final state, because of the evolution of the Hamiltonian is the optimal sprang with it.

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STFC-RAL-CR03  R61: Classically, Yes, classically, these two can be completely disembangled

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STFC-RAL-CR03  R61: go as crazy chaotic as you like. There's not any upper bounds, but fundamentally, because of humidity, you can't move too fast away from an initial state, so there's a bump.

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STFC-RAL-CR03  R61: can exponentially decay, but there is a bound, and people found out that this is… it depends on the temperature T of the thermal state.

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STFC-RAL-CR03  R61: And the optimal bound is to IT, and there is a J coupling, an over-tapling of your system.

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STFC-RAL-CR03  R61: It has been found also that black holes actually saturate this farm. This, sorry, this is a Yakunov expun.

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STFC-RAL-CR03  R61: Sorry, this is the exponent exponent that tells you that these correlators die off exponentially fast, and this exponent is

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STFC-RAL-CR03  R61: what quantifies how fast you… the K-off speed is currently happens. And indeed, this lambda is bounded, and the optimum is a black hole, okay? What I'm trying to show you now, with the next few slides, is that

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STFC-RAL-CR03  R61: Our model, actually, Optimalist.

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STFC-RAL-CR03  R61: So what we want to show is that this is the opponent exponent that we calculate out of the auto, satisfy this equation. First, what we do is we

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STFC-RAL-CR03  R61: We fit parameters, because we find different values of lambda for different temperatures, and we put fitting parameters A, B, and C.

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STFC-RAL-CR03  R61: B6 sponsors.

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STFC-RAL-CR03  R61: And first, we fit this exponent B. If B is small, we find this exponent is 2 outside the horizon.

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STFC-RAL-CR03  R61: And when V is large inside the horizon, we find B is equal to 1, which is what we want, okay? And also, the 2 is… so basically we find outside the horizon as a function of temperature, the component of the spawner has this, what, traffic behavior for small temperatures.

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STFC-RAL-CR03  R61: And this also goes down for lads and exotic, even once

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STFC-RAL-CR03  R61: There's some tweets that were kind of,

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STFC-RAL-CR03  R61: And inside a black hole, we get these linear behaviors, quite distinctive from there, and the linear is what we want. Then.

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STFC-RAL-CR03  R61: We don't want it to be only linear, we want it to be two kind.

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STFC-RAL-CR03  R61: So then we plot,

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STFC-RAL-CR03  R61: And then you have the coefficient A divided by pi.

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STFC-RAL-CR03  R61: As the system size increases this way, this is system size, the dotted lines are exactly the normalization we did, and I presented them a year or so ago in a conference that other people would

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STFC-RAL-CR03  R61: work on the S1K model with that, and it became, you know, there was the one guy who became really the furious, they're there, they're there, yes, but these guys in the S1K model.

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STFC-RAL-CR03  R61: And he says, no, you can't do it, your model is not all-to-all, it can't optimally scrum, we have group analysis, and so on, it shouldn't work. I said, you know, that's…

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STFC-RAL-CR03  R61: I agree, but that's what we find.

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STFC-RAL-CR03  R61: And he took Finnish, he comes off a coffee break, and then he shouldn't be able. He chased me and said, we did honest, well, that's what we did, I'm not claiming anything.

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STFC-RAL-CR03  R61: And then, because he's been working on that, with the SYK model, he had the experience, he knows how powerful it is, so he said, he passed me the email of his post of the merits for their model, and he ran away. So I contacted him, and I had this very sophisticated numerical method based on a tree of methods.

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STFC-RAL-CR03  R61: and we managed together to verify the exact, and then probe with much larger system sizes, which you see that indeed saturates the value we want. So…

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STFC-RAL-CR03  R61: Yes, if you're angry with what I present, please come and see. So… This…

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STFC-RAL-CR03  R61: conclusive numerically mind. The way… but the system is, this is just theory in numerics.

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STFC-RAL-CR03  R61: The system is at speed, so we can encode it on a quantum computer, and also the properties we like to see, like dispersion relations, energy momentum, Hawking radiation, or chaotic evolutions, are time evolutions. That's things that you can do on a quantum

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STFC-RAL-CR03  R61: Computer with modern rhythms.

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STFC-RAL-CR03  R61: And I'll present indeed two versions of these black holes. One is based on the X-Line model that is in the Riddler coordinates, and we have implemented, but also exists in the literature recently.

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STFC-RAL-CR03  R61: And we want to… but this is non-interrupting, doesn't have pure behavior. And then we implemented our model.

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STFC-RAL-CR03  R61: And I'll… I'll show you.

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STFC-RAL-CR03  R61: what the evolutions are. Now, the time evolution, you have the XY Hamiltonian, the chirot Hamiltonian, and then you trackerize it, you interchange them, this is the basic block, and then you repeat it many times for some units T. The XY is only a 2-qubit gate, and it's actually native, we did it

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STFC-RAL-CR03  R61: NQCC, some time, we run it there, and… and very excited. This is a native to the IBM

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STFC-RAL-CR03  R61: Sleep, hardware that we use.

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STFC-RAL-CR03  R61: And this is, let's say, the circuit. The kind of term is a 3-spin interaction term, or three qubit, gates, that you can, decompose in terms of even gates, evens, and,

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STFC-RAL-CR03  R61: Yeah.

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STFC-RAL-CR03  R61: So, it hasn't…

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STFC-RAL-CR03  R61: a different size, so it's easy to do the XY model, because you have this depth. If you want to do the carol and the XY, you have to combine these two sorts of depth for creases. So, technically, it's hard that coherence comes in.

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STFC-RAL-CR03  R61: And, here are the… these are experimental results, all of those. Here's your walker, how it goes for the XY model.

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STFC-RAL-CR03  R61: Riddler ordinance, yeah.

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STFC-RAL-CR03  R61: Okay, very similar facings, I don't go through. Your cons go like this.

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STFC-RAL-CR03  R61: When you cross the horizon, you change space and time, and these are the dispersion relations for different kind of velocities. And this is exactly what we monitor

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STFC-RAL-CR03  R61: one side here at the horizon. These are the calculations go up and down, for different curvatures that we encode in our system, and you see that whole in one line, you can extract the whole temperature out of that. So we are very…

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STFC-RAL-CR03  R61: This is the same thing for the chiral model. These are experimental results. These are just numerics, but with the gates that we use.

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STFC-RAL-CR03  R61: We're carrying out the experience here, but because the depth

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STFC-RAL-CR03  R61: Of our circuit is a bit bigger.

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STFC-RAL-CR03  R61: errors degrade the result. So we managed to get the dispersing relation, that you have the tilting of the cones, and now we're working hard to extract the

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STFC-RAL-CR03  R61: Hocking temperature, and the scrambling. These are the optics with the gate set.

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STFC-RAL-CR03  R61: So…

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STFC-RAL-CR03  R61: wait for that. We're still working on this, part. So that's my… that's where I want to get to. That's where numerically or analyzing is hard to probe. I hope that the fund will give us this optimal behavior.

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STFC-RAL-CR03  R61: So here it is. Let me flash again the slide. We have a model where the chiral term

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STFC-RAL-CR03  R61: tilt the horizon and creates optimal chaos. The same type of interacting term. And you see, it happens, you see, it's not the geometry increasing that causes the chaos.

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STFC-RAL-CR03  R61: Is that by encoding the…

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STFC-RAL-CR03  R61: the geometry of a black hole, you necessarily increase the Kaplan V. And when Kaplan V is strong.

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STFC-RAL-CR03  R61: Then the geometry loses.

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STFC-RAL-CR03  R61: Meaning, because of the strong fluctuations.

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STFC-RAL-CR03  R61: Okay? And gives price to the optimal strategy.

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STFC-RAL-CR03  R61: Okay? So… I hope that gives you a glimpse of

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STFC-RAL-CR03  R61: How the black hole simulator that has both geometry and optimism.

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STFC-RAL-CR03  R61: works.

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STFC-RAL-CR03  R61: Okay, so we have this chiral model.

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STFC-RAL-CR03  R61: that we've seen that it can give you hot and radiation and that. And as a final thing, I'll go very, very quickly the black hole telepostage.

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STFC-RAL-CR03  R61: Let's…

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STFC-RAL-CR03  R61: Alright, that's… Very good. Thank you, thank you. That's the best way I could do to present you the…

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STFC-RAL-CR03  R61: why we're interested in teleportation from inside to outside a black hole, we keep a straight face. So what happens is that here's your black hole. It is a quantum matter inside a black hole, and as time passes, this quantum matter looks outside.

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STFC-RAL-CR03  R61: Some parts of it.

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STFC-RAL-CR03  R61: Now, what we have is, Alice throws a part inside the Blackhawk.

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STFC-RAL-CR03  R61: the motivations are unclear, but ascribe. And then, Bob's is on the outside.

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STFC-RAL-CR03  R61: And Bob is a quite, quite powerful guy, the collaboration that we support, and they can distill EPR paths between the inside… from this quantum matter, they can distill it and make some.

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STFC-RAL-CR03  R61: Ethiop has formal correlations from the inside to the outside. The inside is involved with this optimal scrambling Hamiltonian, and Bob does exactly the same, but star, evolution, and the

316
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STFC-RAL-CR03  R61: There's some more… The radiation happens, somehow from inside comes to the outside. Both measures

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STFC-RAL-CR03  R61: This tube, and effectively what, what happens is that the quantum state sign

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STFC-RAL-CR03  R61: gets teleporter on the outside. The fidelity is low, but as more

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STFC-RAL-CR03  R61: Our schools are, are, are…

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STFC-RAL-CR03  R61: radiated panel, you measure more and more, and the delta goes to 1. The success is a quarter, and that reflects the quarter of success of the calendar rotation.

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STFC-RAL-CR03  R61: And indeed, we did that with the spin system, and we found that, indeed, the more measurements… this is the fidelity of the out state, that… that increases

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STFC-RAL-CR03  R61: as you do more and more measurements, and it saturates the bound of one asymptotically, but pretty fast, actually.

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STFC-RAL-CR03  R61: In our model, in order to encode these two evolutions, we actually put another black hole on the outside. So it's a dual binary system inside and outside. So this is equivalent black hole with black hole systems. This really doesn't done is the same.

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STFC-RAL-CR03  R61: Beth?

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STFC-RAL-CR03  R61: And that's that, really. That's the fun interpretation from inside to the outside that Aidan Prescio actually did in order to

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STFC-RAL-CR03  R61: Take it to hooking that,

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STFC-RAL-CR03  R61: And they're looking at me that, oh, yeah, it looks fine, but he liked it.

328
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STFC-RAL-CR03  R61: To provoke, not to probe.

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STFC-RAL-CR03  R61: what do we have? Well, we have a model that is a simple, simple, relatively simple model that can do the pump irrigation and the scrambling.

330
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STFC-RAL-CR03  R61: We used it in order to,

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STFC-RAL-CR03  R61: reproduce the highly risky product within the same model.

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STFC-RAL-CR03  R61: So, has the fundamental properties, and also the semi-classical.

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STFC-RAL-CR03  R61: So, quite happy with that, because we would like to probe with it more physics that has to do with this hysterity of

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STFC-RAL-CR03  R61: Classical description, and fully…

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STFC-RAL-CR03  R61: one description. Their ideas were the, the islands of, of, inside black holes that have to do with the station and the… and how it cannot be described in the Glasgow picture.

336
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STFC-RAL-CR03  R61: We want to see evaporation of the black hole where the horizon changes depending on the mass that is inside the black hole. So you can encode that and simulate and then derive

337
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STFC-RAL-CR03  R61: What's the evaporation time, what's the pH, and so on.

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STFC-RAL-CR03  R61: And there are possible quantum information obligations. If you have a way, a deterministic way, how to do optimal scrambling, you can use it in order to hide information.

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STFC-RAL-CR03  R61: quite fast, people won't recognize where it came from, and then you can apply the reverse evolution to retrieve it. So there might be an impossible way out to hide and retrieve information, and of course, we're, working on 2 plus 1 and 3 plus 1 generalizations of the model.

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STFC-RAL-CR03  R61: I'll just presented to you.

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STFC-RAL-CR03  R61: Thank you, huh?

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STFC-RAL-CR03  R61: Questions?

343
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STFC-RAL-CR03  R61: us from whom?

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STFC-RAL-CR03  R61: Very interesting talk, actually. I'll have to spend more time talking to you about it, but, a couple of things that,

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STFC-RAL-CR03  R61: I'm thinking about is entropy. You didn't mention entropy. Now, chaos and entropy are quite similar, actually, because you get maximum

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STFC-RAL-CR03  R61: chaotic… a maximum chaotic system is maximum entropy as well. Is that correct? Correct, yes. So, yes, this is a fundamental point.

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STFC-RAL-CR03  R61: What we analyzed in one paper with Nasuden Yassin is how

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STFC-RAL-CR03  R61: In the semi-classical limit, if you have only the geometric description of a black hole, not the interactions, you get thermal behavior, but only if you trace the horizon.

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STFC-RAL-CR03  R61: if you trace away from the horizon, it's not thermal anymore in your state. And indeed, you expect that, because evolutions with three Hamiltonians

350
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STFC-RAL-CR03  R61: do not cause, thermization. It's pretty amazing that when you do it at the horizon, you get something that looks thermal.

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STFC-RAL-CR03  R61: So, basically, if you want to see something thermalizing, any partition of your state should look thermal.

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STFC-RAL-CR03  R61: Relatively small compared to the full size.

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STFC-RAL-CR03  R61: And indeed, we verify that inside the black hole where the Harrow interactions take place, the optimal scrubbing takes place, the temperature actually appears to be infinite.

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STFC-RAL-CR03  R61: So, quite fast, the system becomes fully mixed.

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STFC-RAL-CR03  R61: Inside the black hole. So there's no Hawking temperature there. But if you see, Hawking temperature's a different physics. Scrambling is different physics. And that's…

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STFC-RAL-CR03  R61: I hope that this simple model helps us to understand these concepts. So… but Hawking radiation is dissipation.

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STFC-RAL-CR03  R61: So dissipation would tell you that you wouldn't be able to get maximum entropy, because you're losing information all the time.

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STFC-RAL-CR03  R61: And so you… what you're doing is you're actually creating a coherent structure.

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STFC-RAL-CR03  R61: And you can actually generate, and you're in the strong-fueled region inside the black hole, you could get coherent structures being generated, rather than chaotic. But you would get coherency from chaos.

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STFC-RAL-CR03  R61: Have you looked at that? I 100% agree with what you say.

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STFC-RAL-CR03  R61: I haven't said it so clearly before, but I've been trying to demonstrate that exact thing. Okay. Yeah, I need to talk to you more about it.

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STFC-RAL-CR03  R61: We calculated the entropies analytically, of the black hole with 3 Hamiltonian, with different partitions, and indeed, that's how we find what you say. And numerically, we did it with the interactive, because it's very hard analytically, to probe.

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STFC-RAL-CR03  R61: And we find this infinite temperature thing, which is different from the bottom, temperature thermality.

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STFC-RAL-CR03  R61: Thanks. Any questions?

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STFC-RAL-CR03  R61: Tip.

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STFC-RAL-CR03  R61: Hi, so you described that you've been able to put the black hole onto…

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STFC-RAL-CR03  R61: to quantum computer simulator, and you've done that for the XY coordinate system, and you're working on it for the chiral. We did it also for the chiral, just the, because we've got the dispersion relation, which is fantastic.

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STFC-RAL-CR03  R61: For monitoring for the clocking temperature, that's the next thing we are… we have the results, but

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STFC-RAL-CR03  R61: Because our separates are rather long to encode the hybrid thermal, the coherence hits us quite fast. Unfortunately, we picked up

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STFC-RAL-CR03  R61: Is anybody working for IBM here? We picked up IBM, and this super would like to keep us here fast, and we didn't anticipate this problem. We thought the connectivity was exactly what we wanted, to have live chains.

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STFC-RAL-CR03  R61: If we chose an ion transfood, we need very few cubits of vapor. The systems are rather moderate, we don't need large.

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STFC-RAL-CR03  R61: reached, you know, who had coherent results and clarified. So that was… yeah, so you answered the question that I had, which was, what are your limiting factors? So…

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STFC-RAL-CR03  R61: Coherence, obviously… That's right, yes, yes. You yourself have written about, error correction and so on. What are the limiting factors, and which are the major ones? What needs to happen to make this, make this work? I mean, you have thoughts, you've done it, so… so what, what, my students! But what are the factors that are limiting you at the moment? Yes.

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STFC-RAL-CR03  R61: Very good. So, first of all, we're doing pronunciations of a physical phenomenon.

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STFC-RAL-CR03  R61: Our,

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STFC-RAL-CR03  R61: requirements are not as triggering as doing one computation, where you want to, to find an answer, or… so we want to have a qualitative

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STFC-RAL-CR03  R61: effect.

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STFC-RAL-CR03  R61: Okay? With some error bars, okay? So, this you can verify, and it's not too hard.

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STFC-RAL-CR03  R61: Now, if you want… and you can find also some quantitative values there, like the volume temperature and so on, but it's an effect you're after.

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STFC-RAL-CR03  R61: Quality computation is a, in order to factorize numbers, an extremely demanding thing, and of course, they care about bone marrow friction and so on. In our case, yes, we want to keep it coherent, but the systems are valuable, and you actually

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STFC-RAL-CR03  R61: Wonders for what we're interested in.

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STFC-RAL-CR03  R61: And in your case, is the I.O. an issue? So certainly when you look at classical physics problems, and often you're trying to push a whole event, or even just a set of, you know, hits or something in a tracking… a track trajectory-finding algorithm, and even that is too much information to try and push on and off. I can only imagine you have lots of information here that you're pushing on and off as well, but maybe you can… why is that not limiting you, or is it limiting you?

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STFC-RAL-CR03  R61: information pushing on and off? Yeah, so, because you have a certain amount of data you need to pass to the processors and to read out from the processors. That's right, yes. So, what we have is a chain, which is every 16 digits, then we apply our

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STFC-RAL-CR03  R61: our gates, which is the Hamiltonian at the time of all things, and then we measure.

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STFC-RAL-CR03  R61: And the measurement is the probability distribution of your wave functions, yeah? The probabilities are on here. So if you use all of those information, you repeat it several times to build a distribution. Now.

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STFC-RAL-CR03  R61: It's yours.

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STFC-RAL-CR03  R61: serpent is too long, then temperature, the warm you get might be more probabilistic than quantum basics. So if you try to extract from it the quantum properties. Now, there are different techniques. One is mitigation. So, you can guess

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STFC-RAL-CR03  R61: Or you can manage your data to remove the thermal part and keep the quantum by extrapolating and so on.

389
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STFC-RAL-CR03  R61: or do pulmonary fraction. It doesn't test, but corrects the thermal part and makes it pure again.

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STFC-RAL-CR03  R61: So these are different techniques. We are more on the mitigation side of things at the moment, rather than the quantum error correction, but we have ideas for the quantum error correction as well.

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STFC-RAL-CR03  R61: Yep, thank you.

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STFC-RAL-CR03  R61: Thank you. I'm sorry if I didn't ask you a question. It's a very different type of problem. Probably your problem is more akin to the big aim of putting a QF… a quantum field theory fully onto… fully onto quantum computing. Yes, that's right, yes. And then, see time evolutions, that's what other computers can do.

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STFC-RAL-CR03  R61: Thank you.

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STFC-RAL-CR03  R61: Please, this.

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STFC-RAL-CR03  R61: Thank you for the wonderful support.

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STFC-RAL-CR03  R61: So, I really enjoyed it, but unfortunately, I'm not as good as math as I want to be. So, first question was about the, the Hamiltonia that you showed. So, you said that the, coupling fee

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STFC-RAL-CR03  R61: Is something that varies according to,

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STFC-RAL-CR03  R61: position, right? So it's, the way that that chiral system shows a black hole.

399
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STFC-RAL-CR03  R61: Is it by, like, varying that p-value?

400
01:00:09.430 --> 01:00:26.550
STFC-RAL-CR03  R61: According to that, event horizon. That's right, yes. So, in order… so, V encodes… changing V encodes the curvature, and by changing from small values to large values, this won't give you the horizon at some point.

401
01:00:26.840 --> 01:00:36.390
STFC-RAL-CR03  R61: So, you need this varying V, because a black hole is an inhomogeneous system, if you like, so we need this varying parameter to encode.

402
01:00:36.950 --> 01:00:47.800
STFC-RAL-CR03  R61: And it's interesting that, smaller values correspond to two differing materials. One is higher, one is non-chiral, but of course they're connected.

403
01:00:51.130 --> 01:00:56.479
STFC-RAL-CR03  R61: Also, when you showed that simulation of, Hawking radiation in 2D,

404
01:00:56.600 --> 01:00:58.920
STFC-RAL-CR03  R61: I got… I got the impression that it…

405
01:00:59.350 --> 01:01:04.630
STFC-RAL-CR03  R61: It wasn't, like, a circular submission. Yeah, yeah, yeah, you're right, you're right, absolutely, yes, yes, yes.

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STFC-RAL-CR03  R61: Yeah, it seemed like a 90 degree, like, rotation. There's, there's… because it's a square lattice, we didn't know that, so the square lattice will, will have the… there's a Manhattan distance, and there's many things that, that, that, that spoiled the, the, the…

407
01:01:22.330 --> 01:01:24.849
STFC-RAL-CR03  R61: The perfect foundation of symmetric.

408
01:01:25.630 --> 01:01:37.430
STFC-RAL-CR03  R61: Properties, yes. And also, we… we… we prepared… in Prince, we wanted the S-wave kind of encoding as well, but we put populations in this

409
01:01:37.450 --> 01:01:53.090
STFC-RAL-CR03  R61: kind of symmetric way, so there's a simple symmetry that also the radiations at the… of the initial state that also satisfying in the final state. It's dirty.

410
01:01:54.950 --> 01:01:58.269
STFC-RAL-CR03  R61: Any more questions from the room? Or from Zoom?

411
01:01:59.170 --> 01:02:00.549
STFC-RAL-CR03  R61: Oh, that's one more equipment

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STFC-RAL-CR03  R61: So you kind of compare to a quantum limit and a semi-classical limit. If you look somewhere between those two limits, you get as meaningful information to extract.

413
01:02:10.630 --> 01:02:11.500
STFC-RAL-CR03  R61: from…

414
01:02:11.990 --> 01:02:21.570
STFC-RAL-CR03  R61: the money details in between those two places. Yes, I would… this is what we want to do, to see how physics

415
01:02:21.740 --> 01:02:28.809
STFC-RAL-CR03  R61: changes when you move from one to the other, semi-classically to… so there's this idea of,

416
01:02:30.290 --> 01:02:38.169
STFC-RAL-CR03  R61: Quantum Islands that, one of my collaborators is, is, is an expert, where,

417
01:02:38.270 --> 01:02:52.999
STFC-RAL-CR03  R61: it's worse if you don't perform fine teleportation, but the system, due to the scrambling, effectively teleports. Now, this happens only if you have interactions. If you don't have interactions, this doesn't take place, so…

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01:02:53.250 --> 01:03:01.840
STFC-RAL-CR03  R61: The Column Islands are… In this semi-classical limits, what you will need to remove in order to imitate the

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STFC-RAL-CR03  R61: fully interactive. So it's another way of quantifying interactions.

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STFC-RAL-CR03  R61: the rate of generation of these students.

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STFC-RAL-CR03  R61: comparing them to a free Hamiltonian.

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STFC-RAL-CR03  R61: Okay? But in time evolution, so there are different ways to quantify strong correlations, interacting with Hamilumians, for ground state, but now we are looking at the quantum evolution, quantifying the effect on the quantum evolution. It's very exciting, that's… that's what we want to… to…

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STFC-RAL-CR03  R61: to move. For example, you can monitor the entropy of the outside.

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STFC-RAL-CR03  R61: And the reputation that will happen naturally will change the entropy.

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STFC-RAL-CR03  R61: What if it wasn't? And that would be fantastic to see it in one system.

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STFC-RAL-CR03  R61: So we had a very interesting discussion right before about the quantum gravity, but Barsha, I have all the fun. If you'd like to chat with the speaker after the session, please join him for lunch, and let's thank our speaker for being with us.

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STFC-RAL-CR03  R61: Good thing.

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STFC-RAL-CR03  R61: Yeah, very good song, indeed.

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STFC-RAL-CR03  R61: Thank you, Jen.