# Recorded Group Seminars

Recent recorded seminars are listed below. For a playlist of all recorded seminars, see here.

## Past talks

### Alexandre Belin, CERN - 19 Apr 2022

**Title:** Quantum chaos, OPE coefficients and wormholes

**Abstract:** In this talk, I will discuss the statistical distribution of OPE coefficients in chaotic conformal field theories. I will present the OPE Randomness Hypothesis (ORH), a generalization of ETH to CFTs which treats any OPE coefficient involving a heavy operator as a pseudo-random variable with an approximate Gaussian distribution. I will then present some evidence for this conjecture, based on the size of the non-Gaussianities and on insights from random matrix theory. Turning to the bulk, I will argue that semi-classical gravity geometrizes these statistical correlations by wormhole geometries. I will show that the non-Gaussianities of the OPE coefficients predict a new connected wormhole geometry that dominates over the genus-2 wormhole.

### Manus Visser, University of Geneva - 5 Apr 2022

**Title:** De Sitter Entropy and the Gravitational Path Integral

**Abstract:** Gibbons and Hawking famously derived the de Sitter horizon entropy from the Euclidean gravitational path integral in the saddle point approximation. This result is a crucial hint for quantum gravity in de Sitter space, as it suggests that the Hilbert space is finite dimensional. In this talk we extend this result in two different ways. First, we compute the entropy of de Sitter black holes from the on-shell Euclidean action, and take their contributions in the gravitational path integral into account using the formalism of constrained instantons. We use this to calculate the pair creation rate of arbitrary mass black holes in de Sitter space. Second, in two-dimensional de Sitter space we show how the generalized entropy (the sum of the classical gravitational entropy and matter entanglement entropy) can be obtained from an on-shell action for semiclassical dilaton gravity in the microcanonical ensemble. Minimizing the action yields extremizing the generalized entropy, consistent with the island formula.

### Josiah Couch, Boston College - 29 Mar 2022

**Title:** Pants Decomposition as Circuit Complexity in 2D (T)QFT

**Abstract:** Motivated by the 'complexity = volume' and 'complexity = action' proposals of Susskind and collaborators, there have been many efforts over the past several years to study circuit complexity in the context of quantum field theory. I will present such an effort proposing that the pants decomposition of 2d manifolds gives a notion of complexity for 2D TQFTs, at least for states that can be prepared by Euclidean path integrals, along with related ideas. Based on https://arxiv.org/abs/2108.13427.

### Antony Speranza, University of Illinois Urbana-Champaign - 15 Mar 2022

**Title:** Local gravitational charges and their algebra

**Abstract:** Charges associated with diffeomorphisms constitute an important set of observables in gravitational theories. In this talk, I will give an overview of the construction of gravitational charges for local subregions using covariant phase space techniques. For diffeomorphisms with a transverse component to the boundary, the charges are “nonintegrable,” in the sense that they fail to satisfy Hamilton’s equation due to the presence of fluxes, but can be defined via the Wald-Zoupas procedure. I will specifically emphasize that the ambiguities inherent in the Wald-Zoupas construction, as well as those present in covariant phase space constructions, can be fully resolved by a choice of action for the spacetime subregion. An algebra for the charges can be defined by their Poisson bracket on the subregion phase space, and I will show that this reproduces the bracket previously postulated by Barnich and Troessaert, thereby giving a novel derivation of this bracket from first principles. Finally, I will describe a related construction of gravitational charges using the extended phase space, in which additional edge mode degrees of freedom are included in the description. The extended phase space construction yields Hamiltonian (i.e. “integrable”) charges without employing the Wald-Zoupas procedure, and I further show that ambiguities in this construction are again resolved by appealing to the variational principle associated with the subregion action.

### Jinzhao Wang, ETH Zurich - 7 Mar 2022

**Title:** The black hole information puzzle and the quantum de Finetti theorem

**Abstract:** The black hole information puzzle arises from a discrepancy between conclusions drawn from general relativity and quantum theory about the nature of the radiation emitted by a black hole. According to Hawking's original argument, the radiation is thermal and its entropy thus increases monotonically as the black hole evaporates. Conversely, due to the reversibility of time evolution according to quantum theory, the radiation entropy should start to decrease after a certain time, as predicted by the Page curve. This decrease has been confirmed by new calculations based on the replica trick, which also exhibit its geometrical origin: spacetime wormholes that form between the replicas. Here we analyse the discrepancy between these and Hawking's original conclusions from a quantum information theory viewpoint, using in particular the quantum de Finetti theorem. The theorem implies the existence of extra information, W, which is neither part of the black hole nor the radiation, but plays the role of a reference. The entropy obtained via the replica trick can then be identified to be the entropy S(R|W) of the radiation conditioned on the reference W, whereas Hawking's original result corresponds to the non-conditional entropy S(R). The entropy S(R|W), which mathematically is an ensemble average, gains an operational meaning in an experiment with N independently prepared black holes: For large N, it equals the regularized entropy of their joint radiation, S(R1⋯RN)/N. The discrepancy between this entropy and S(R) implies that the black holes are correlated, that is geometrically captured by the replica wormholes. I will also comment on the ensemble interpretation of the replica trick calculation. (Based on the joint work (arxiv.org/abs/2110.14653) with Renato Renner.)

### Lucas Hackl, University of Melbourne - 28 Feb 2022

**Title:** Volume-law entanglement entropy of typical pure quantum states

**Abstract:** In this talk, I will discuss the statistical properties of entanglement entropy, which serves as a natural measure of quantum correlations between a subsystem and its complement. Entanglement is a defining feature of quantum theory and understanding its statistical properties has applications in many areas of physics (quantum information, statistical mechanics, condensed matter physics, black hole thermodynamics). First, I will introduce the physical model and explain its relevance for practical applications. Second, I will explain how the statistical ensemble of quantum states can naturally be described through the methods of random matrix theory. Third and finally, I review a number of new results describing the typical properties (e.g., average, variance) of the entanglement entropy for various ensembles of quantum states (general vs. Gaussian, arbitrary vs. fixed particle number). [based on arXiv:2112.06959 and arXiv:2103.05416]

### Stefan Eccles, OIST - 7 Feb 2022

**Title:** Information spreading in chaotic quantum systems

**Abstract:** In chaotic quantum systems, information that is initially localized will generically spread and become inaccessible to local measurements. I discuss some tools for quantifying the rate at information spreads, and advocate a conceptual framework for viewing the process via an analogy with the Hayden-Preskill protocol of information recovery from black holes.

### Phuc Nguyen, City University of New York and University of Haifa - 1 Feb 2022

**Title:** Scrambling and the black hole atmosphere

**Abstract:** We argue that the scrambling time is the same, up to a numerical factor in three or more spacetime dimensions, as the time for the atmosphere to fall across the horizon or escape, to be replaced by new atmosphere. We propose that these times agree because the physical scrambling process is part and parcel of the atmosphere refreshment process. We provide some support for this relation also in two dimensions, but the atmosphere is not as localized, so the argument is less justified.

### Laurent Freidel, Perimeter Institute - 10 Dec 2021

**Title:** Local Holography: A quantum gravity paradigm to construct gravitational subsystems

**Abstract:** In this talk I will present a new perspective about the decomposition of gravitational systems into subsystems called local holography. I will emphasize the central role played by what we call the corner symmetry group in capturing all the necessary data need to glue back seamlessly quantum spacetime regions. I will explain some of the key results we have achieved in the construction of the representations of these groups. If time permits I will explain a new result about the canonical description of open gravitational systems and the relations of this approach with celestial holography.

### Robert Oeckl, UNAM - 7 Dec 2021

**Title:** Hands on with the positive formalism

**Abstract:** This talk is meant as an application-oriented overview of the positive formalism. One emphasis is on its relation to frameworks from classical statistical mechanics, quantum foundations/information, quantum field theory and quantum gravity. The other emphasis is on simple and concrete examples from these different fields.

### Slava Lysov, OIST - 15 Nov 2021

**Title:** Phase space on surface with the boundary via symplectic reduction

**Abstract:** In my talk I will briefly review the symplectic reduction construction for the phase space of the gauge theory using BF theory as an example. Then I will talk about possible problems and consistency conditions related to extension of the symplectic reduction construction for the Cauchy slices with boundary. I will perform the symplectic reduction in presence of boundary and show that results obey consistency conditions and match with symplectic spaces constructed by other methods.

### Francesco Sartini, ENS Lyon - 8 Nov 2021

**Title:** Hidden symmetries in black holes

**Abstract:** The spacetime in the interior of a black hole can be described by an homogeneous line element, for which the Einstein–Hilbert action reduces to a one-dimensional mechanical model. We have shown that this model exhibits a symmetry under the (2+1)-dimensional Poincaré group. The existence of this symmetry unravels new aspects of symmetry for black holes, and opens the way towards a rigorous group quantization of the interior, which in turn provide a powerful tool to discriminate between different regularization schemes. Remarkably, the physical ISO(2,1) symmetry can be seen as a broken infinite-dimensional symmetry. This is done by reinterpreting the action for the model as a geometric action for the BMS3 group, where the configuration space variables are elements of the algebra bms3 and the equations of motion transform as coadjoint vectors.

### Yasha Neiman, OIST - 27 Oct 2021

**Title:** A microscopic derivation of the quantum measurement postulates

**Abstract:** There is a disconnect between the "quantum foundations" community and practicing quantum physicists. Since the foundations community is incapable of agreeing on anything, the outside world is left with the impression that they accomplished nothing. Fortunately, this impression is false. In this talk, I will package some ideas from the foundations community into a neat derivation of the Copenhagen measurement postulates from a simple & explicit microscopic model. Because of the disconnect mentioned above, practising physicists tend to find this construction surprising and enlightening, while foundations people find it simultaneously false, trivial, misguided, naive, pointless and unoriginal. Come and find out which community you belong to!

### Fabio Anza, UC Davis - 19 Oct 2021

**Title:** Quantum Physics of Information

**Abstract:** In this talk I will present a series of ideas and results coming out of my efforts to exploit differential-geometric tools to tackle many body quantum systems and, in particular, characterize the information theoretic properties of their dynamics. After a broad but brief look at the idea behind the physics of information, I will give an introduction to geometric quantum mechanics, discuss its relevance for thermodynamics how I intend to leverage it to address the out-of-equilibrium physics of many-body quantum systems.

### Eduardo Testé, UCSB - 12 Oct 2021

**Title:** Mutual information superadditivity and unitarity bounds

**Abstract:** We derive the property of strong superadditivity of mutual information arising from the Markov property of the vacuum state in a conformal field theory and strong subadditivity of entanglement entropy. We show this inequality encodes unitarity bounds for different types of fields. These unitarity bounds are precisely the ones that saturate for free fields. This has a natural explanation in terms of the possibility of localizing algebras on null surfaces. A particular continuity property of mutual information characterizes free fields from the entropic point of view. We derive a general formula for the leading long distance term of the mutual information for regions of arbitrary shape which involves the modular flow of these regions. We obtain the general form of this leading term for two spheres with arbitrary orientations in spacetime, and for primary fields of any tensor representation. For free fields we further obtain the explicit form of the leading term for arbitrary regions with boundaries on null cones.

### Djordje Racidevic, Brandeis - 4 Oct 2021

**Title:** An Introduction to the Lattice-Continuum Correspondence

**Abstract:** I will describe a simple and explicit way to construct continuum quantum field theories out of finite, nonperturbatively well defined lattice theories. This formalizes decades of intuition, leads to new definitions of various QFT concepts, and provides new insights into phase diagrams, dualities, and inherent limitations of well known QFTs. I will give a gentle formal introduction to this procedure, and will pick a few simple examples to illustrate it. Topics I may discuss (time permitting) include phases of clock models and Abelian gauge theories, the Noether theorem for discrete symmetries, lattice origins of contact terms and induced Chern-Simons actions, global anomalies in lattice QED, and new definitions of supersymmetric QFTs.

### Juan Pedraza, University of Barcelona - 27 Sep 2021

**Title:** Lorentzian threads and holographic complexity

**Abstract:** The continuous min flow-max cut principle is used to reformulate the 'complexity=volume' conjecture using Lorentzian flows. Conceptually, discretized flows are interpreted in terms of `gatelines' that connect to a tensor network, such that the bulk calculation matches its information-theoretic definition. The bulk symplectic potential provides a 'canonical' configuration characterizing perturbations around arbitrary CFT states. Its consistency requires the bulk to obey linearized Einstein's equations, which are shown to be equivalent to the holographic first law of complexity, thereby advocating a notion of 'spacetime complexity'. Finally, we explain the need for a more general measure of complexity that captures the role of suboptimal flows or tensor network configurations. This talk is based on 2105.12735 and 2106.12585.

### Etera Livine, ENS Lyon - 17 May 2021

**Title:** Bulk-boundary in loop quantum gravity

**Abstract:** I will discuss the notions of bulk spin network states and spin network boundary states and how they can be used to formulate the questions of holography and coarse-graining in the framework of loop quantum gravity.

### Ana Alonso-Serrano, AEI Potsdam - 12 Apr 2021

**Title:** Quantum gravity phenomenology from thermodynamics of spacetime

**Abstract:** This work is based on the formalism developed in thermodynamics of spacetime to derive Einstein's equations from the proportionality of entropy with the area. When low energy quantum gravity effects are considered, an extra logarithmic term in the area is added to the entropy expression. Here, I will present the derivation of the quantum modified gravitational dynamics from this modified entropy and discuss its main features. Furthermore, I will outline the application of the modified dynamics to cosmology, suggesting the replacement of the Big Bang singularity by a regular bounce.

### Christophe Goeller, ENS de Lyon - 22 Mar 2021

**Title:** A finite construction of asymptotic symmetries in 3D gravity

**Abstract:** In this talk, I will review the construction of the boundary symmetry algebra in first order 3D gravity in its most general framework, namely via the Mielke-Baekler Lagrangian, allowing for a source of curvature and torsion. I will show how the study of the current algebra and its associated Sugawara construction allows for two notions of quadratic charges: the usual diffeomorphism and its "dual". I will discuss their resulting algebra and its relation with the usual construction of the asymptotic boundary algebra. I will show that properties that are often associated to the asymptotic case, namely the construction of the double copy of Virasoro (or BMS in the flat limit) as symmetry algebra are in fact already present at finite distance.

### Aldo Riello, UL Brussels - 1 Mar 2021, 8 Mar 2021

**Title:** Edge modes without edge modes: cutting and gluing in Yang-Mills gauge theory

**Abstract:** In this two-part talk, I will discuss gauge theories of the Yang-Mills kind in finite regions with boundaries.

In the first talk, I will address the “cutting problem”, namely the problem of giving a definition of the gauge-invariant degrees of freedom (dof) intrinsic to a finite and bounded region. By analyzing the symplectic reduction procedure in the presence of boundaries, and how boundaries interact with the Gauss constraint, I will show that the reduced phase space is not a symplectic space, but a symplectic foliation whose leaves correspond to electric-flux superselection sectors. In each superselection sector, the relevant dof are a regional generalization of the usual radiative dof (i.e. transverse photons). Key to obtaining this result is our indiscriminate treatment of bulk and boundary gauge transformations, which means no "edge modes" are ever introduced. The absence of edge modes, however, could raise the suspicion that some crucial information is missing, e.g. in relation to one’s ability to reconstruct the global radiative dof from the regional ones. This concern will be addressed in the second talk.

Indeed, in the second talk I will address the two-fold “gluing problem”. Whereas the first gluing problem concerns the reconstruction of the (usual) global radiative dof from the regional dof in each superselection sector, the second gluing problem is the well-known problem of explaining the non-factorizability of the gauge-invariant phase space over regions, namely the emergence, upon gluing, of new (gauge invariant) dof. Absent edge modes, only the regional radiative dof in each superselection sector are available in the discussion of the first and second gluing problems. But this raises an “edge-modes-without-edge-modes" puzzle: if all global radiative dof are reconstructible from their regional counterparts, how can new dof emerge upon gluing? My goal for this second talk will be to explain the resolution of the “edge-modes-without-edge-modes” puzzle. The resolution relies on the nonlocal nature of the regional radiative dof and on the relational nature of the new reconstructed dof. One of this new dof is the electric flux itself: understanding its reconstruction will shed further light on its superselection.

The main reference for this talk are: 2010.15894 for part 1, and section 6 of 2007.04013 (with H . Gomes) for pat 2. Note: whereas these papers strive for generality, in the talk I will for the most part focus on Maxwell theory, which, being Abelian, allows for a much simpler treatment. Only brief references will be made to the non-Abelian theory, aimed at emphasizing its extra features.

### Josh Kirklin, OIST - 25 Feb 2021

**Title:** Uhlmann Phase, Black Hole Information and Holography

**Abstract:** In the 1980s, Armin Uhlmann described a natural generalisation of Berry phase to mixed states which has come to be known as Uhlmann phase. I will describe a series of recent results characterising the Uhlmann phase of subsystems in quantum gravity. First, assuming replica wormholes contribute to the path integral, I will show that measurements of the Uhlmann phase of Hawking radiation allows one to reconstruct the phase space of the interior of a black hole (past the Page time), providing a protocol for the recovery of all infalling classical information. This is a generalisation of a previous result concerning entanglement wedges in holography. Next, I describe a path integral formula for the Uhlmann phase of a generic highly entangled system, explaining how it appears to inevitably involve an extra dimension generated by modular flow, despite a lack of any holographic assumptions. Finally, I comment on the operational meaning of Uhlmann phase, and how it's significance may relate to decoherence.

### Isha Kotecha, OIST - 18 Feb 2021

**Title:** Generalised Gibbs States and Application in Discrete Quantum Gravity

**Abstract:** Equilibrium Gibbs states are undeniably important in statistical descriptions of macroscopic systems with many underlying microscopic degrees of freedom. They are expected to be important also in discrete quantum gravity approaches, where classical continuum spacetime is thought to emerge from the collective physics of some underlying quantum degrees of freedom. However, what equilibrium even means in a background independent context is a foundational open issue. In this talk, I discuss a generalisation of Gibbs states potentially suitable for such contexts, and emphasise on a thermodynamical characterisation based on the maximum entropy principle. The resultant setup is then applied to discrete quantum gravity, by modelling a quantum spacetime as a many-body system of candidate quanta of geometry, and utilising their field theoretic formulation of group field theory (GFT). This leads to the construction of several different concrete examples of quantum gravitational generalised Gibbs states. I then present a class of inequivalent thermal representations induced by a class of these generalised Gibbs states. The corresponding non-perturbative thermal vacua are thermofield double states. An interesting class of condensates, thermal coherent states, encoding fluctuations in quantum geometry are defined in this thermal Hilbert space. Finally, thermal coherent states associated with a spatial volume operator are applied in GFT cosmology, to extract an effective flat FLRW relational dynamics from a class of free GFT models. Friedmann equations are recovered at late times, with a bounce and accelerated expansion at early times. The expansion phase admits an increased number of e-folds as a direct consequence of using thermal condensates, instead of pure (zero temperature) condensates as done in past studies.

### Fabio Mele, OIST - 11 Feb 2021

**Title:** Cosmological and Black Hole Singularities in Effective Loop Quantum Gravity

**Abstract:** The fate of gravitational singularities in a theory surpassing classical General Relativity are puzzling questions that have generated a great deal of interest among various quantum gravity approaches. Among them, recent efforts have been devoted in the framework of Loop Quantum Gravity (LQG) to construct effective symmetry-reduced models of cosmological and black hole spacetimes where quantum corrections to the geometry are captured by a phase space regularisation motivated by the LQG polymer quantum representation. In the resulting effective spacetime, quantum effects induce an upper bound on curvature invariants, the classical singularity is resolved by a quantum bounce, and classical geometry is recovered at low curvatures. In this talk, after briefly reviewing how the procedure works for a simple cosmological example, I will present a new effective model for Schwarzschild black holes based on new canonical variables directly related to curvature. Dirac observables, structure of the resulting effective spacetime, and (if time allows) quantum corrections to the relevant thermodynamic quantities will be then discussed.

### Qi Hu, Perimeter - 23 Dec 2020

**Title:** Emergent universality in critical quantum spin chains: entanglement Virasoro algebra

**Abstract:** Entanglement entropy and entanglement spectrum have been widely used to characterize quantum entanglement in extended many-body systems. Given a pure state of the system and a division into regions A and B, they can be obtained in terms of the Schmidt values, or eigenvalues λα of the reduced density matrix ρ_A for region A. In this paper we draw attention instead to the Schmidt vectors, or eigenvectors |vα⟩ of ρ_A. We consider the ground state of critical quantum spin chains whose low energy/long distance physics is described by an emergent conformal field theory (CFT). We show that the Schmidt vectors |vα⟩ display an emergent universal structure, corresponding to a realization of the Virasoro algebra of a boundary CFT (a chiral version of the original CFT). Indeed, we build weighted sums Hn of the lattice Hamiltonian density h_{j,j+1} over region A and show that the matrix elements ⟨vα |Hn |vα′ ⟩ are universal, up to finite-size corrections. More concretely, these matrix elements are given by an analogous expression for (Ln + L−n)/2 in the boundary CFT, where Ln’s are (one copy of) the Virasoro generators. We numerically confirm our results using the critical Ising quantum spin chain and other (free-fermion equivalent) models.

### Gabriel Wong, Fudan - 23 Dec 2020

**Title:** Entanglement edge modes, extended TQFT, and generalized entropy

**Abstract:** In semi-classical Euclidean gravity, black holes behave like thermal objects with a generalized entropy that satisfies the second law of thermodynamics. It has been conjectured that generalized entropy can be identified with entanglement entropy in quantum gravity, with the leading area term arising from the entropy of entanglement edge modes. In this talk, we review an approach to understanding this conjecture using the framework of extended topological quantum field theory (TQFT). We use two-dimensional Yang Mills as a paradigmatic example in which a notion of generalized entropy can be defined that is analogous to generalized entropy in Euclidean gravity. Applying extended TQFT techniques, we define a factorization of the Hilbert space which leads to entanglement edge modes whose entropy reproduces the area term for the generalized entropy. Time permitting we will discuss applications of this frame work to topological string theory and conformal field theory.

### Pushkal Shrivastava, IIS Bengaluru - 23 Dec 2020

**Title:** Holographic encoding of information in asymptotically flat spacetimes

**Abstract:** Quantum gravity is widely expected to be holographic. In fact, holography in asymptotically anti-de-Sitter spacetimes has been studied extensively in the context of AdS/CFT correspondence for over two decades. However, our understanding of holography in asymptotically flat spacetimes is still rudimentary. In this seminar, I will explore the holographic encoding of information in 4-d asymptotically flat spacetimes. I will argue that all information about massless excitations can be obtained from an infinitesimal neighborhood of the past boundary of future null infinity. This result is in stark contrast to local quantum field theories, where the measurements over all of the null infinity are required to determine the state. Finally, I will discuss the implications for the black hole information paradox.

### Yuri Lensky, Stanford - 22 Dec 2020

**Title:** Tuning the dual boundary in large-q SYK

**Abstract:** The AdS/CFT duality has taught us much about how to embed gravitational physics in quantum mechanical models. Many questions in quantum gravity can be given concrete formulations and answers in this framework, but one aspect that remains mysterious is the region behind the black hole horizon. We try to take a step in understanding the spacetime in this region by a detailed analysis of a 2D "toy" version of this problem; a coupled model where the two sides of the black hole are put in causal contact at late time (using ideas from [Gao-Jafferis-Wall] and [Maldacena-Qi]). We first give a full solution of the boundary model, a pair of time-dependently coupled Sachdev-Ye-Kitaev (SYK) dots. We then give bulk interpretations to our solution, and find important corrections to the naive bulk description are necessary in the region causally disconnected from the 2D "black hole" boundaries.

### Stefan Eccles, UT Austin - 21 Dec 2020

**Title:** Holographic Complexity as Volume

**Abstract:** In the context of the AdS/CFT correspondence, the Complexity = Volume conjecture posits that the volume of a certain extremal bulk Cauchy slice is dual to the quantum circuit complexity of a corresponding CFT state. In this talk I will review the motivation for this conjecture and discuss its strengths and challenges. I’ll cover various geometric results about the behavior of maximal bulk slices in black hole spacetimes, and view the conjecture in light of a “volume flow current” which can be defined, given a bulk foliation by maximal volume slices.

### Ronak Soni, Stanford - 17 Dec 2020

**Title:** Seeing the Entanglement Wedge

**Abstract:** We study the problem of revealing the entanglement wedge using simple operations. We ask what operation a semiclassical observer can do to bring the entanglement wedge into causal contact with the boundary, via backreaction. In a generic perturbative class of states, we propose a unitary operation in the causal wedge whose backreaction brings all of the previously causally inaccessible `peninsula' into causal contact with the boundary. This class of cases includes entanglement wedges associated to boundary sub-regions that are unions of disjoint spherical caps, and the protocol works to first order in the size of the peninsula. The unitary is closely related to the so-called Connes Cocycle flow, which is a unitary that is both well-defined in QFT and localised to a sub-region. Our construction requires a generalization of the work by Ceyhan & Faulkner to regions which are unions of disconnected spherical caps. We argue that this cocycle should be thought of as naturally generalizing the non-local coupling introduced in the work of Gao, Jafferis & Wall.

### Juan Margalef Bentabol, Penn State - 16 Dec 2020

**Title:** Geometric formulation of covariant phase methods with boundary

**Abstract:** In physics, one standard way to study and understand a theory is through its dynamical formulation. Whenever possible, this is obtained by considering some initial conditions and evolving them through the dynamical equations of the theory. One gets then a curve over the space of initial conditions which codifies the evolution. This approach is useful in many settings, including General Relativity (ADM, numerical relativity, gravitational waves...), however, it also has some limitations. Namely, to understand some non-local concepts such as black holes and their properties (e.g. spin, energy, or entropy) one runs into some complications. Another approach is to study the space of solutions where each point represents a whole solution of the theory. For well-posed problems, this space is equivalent to the space of initial conditions (each initial condition gives rise to one and only one solution) although in general there would be some gauge degeneracy (the solution is determined up to some gauge transformation). In this talk, I will present this latter approach in what is known as the Covariant Phase Space methods. In particular, I will show how to construct a presymplectic structure over the space of solutions canonically associated with the action of the theory. The novelty of our work is that we consider the manifold with boundary, which adds several difficulties that had not been solved before.

### Andreas Blommaert, Stanford - 14 Dec 2020

**Title:** Wormholes and cluster decomposition

**Abstract:** We discuss the role of wormholes and branes in reconciling geometry with quantum mechanics. This will be based on recent developments in JT gravity, an analytically solvable model of two-dimensional quantum gravity. First, we will see how wormholes enable geometry to accurate capture averaged properties of late time correlators of chaotic quantum systems. Then we explain based on general intuition the effects of wormholes on large distance correlators in quantum gravity. We reproduce these effects by carefully defining diff invariant bulk matter observables in JT gravity and computing the corresponding amplitudes. Finally, we mention that microstructure of the dual quantum mechanics is represented in bulk JT gravity by some background spacetime branes.

### Andrea Di Biagio, Sapienza Universita di Roma - 4 Dec 2020

**Title:** Can We Think Timelessly About Causation?

**Abstract:** We often say that quantum mechanics allows to calculate the probability of future events. In fact, quantum mechanics does not discriminate between predicting the future or postdicting the past. I will present the results of a recent work by Rovelli, Donà and me, where we address the apparent tension between the time symmetry of elementary quantum mechanics and the intrinsic time orientation of the formulations of quantum theory used in the quantum information and foundations communities. Additionally, I will sketch a way to think time symmetrically about causality in quantum theory by using the new notion of a causal-inferential theory recently proposed by Schimd, Selby and Spekkens.

### ChunJun Cao, University of Maryland - 2 Dec 2020

**Title:** Towards emergent space-time in approximate quantum error correction codes

**Abstract:** In AdS/CFT, the bulk space-time geometry and gravitational interactions can emerge from the boundary CFT. In this talk, I will touch on two related topics on how space-time and gravity can emerge from approximate quantum error correction codes. We will first construct an efficiently decodable holographic quantum code that reproduces certain properties of AdS/CFT, such as the Ryu-Takayanagi formula and subregion duality, much like other known holographic codes. However, the code becomes approximate when "coherent noise" is injected, allowing it to capture features analogous to those of gravity, such as back-reaction, subspace-dependence, and approximate bulk locality. I will then explain how entanglement data extracted from such kind of systems can be used to determine whether the bulk has a well-defined emergent geometry. When the bulk is "geometric", we show that one can explicitly reconstruct the spatial metric tensor through numerical methods.

### Alex May, University of British Columbia - 25 Nov 2020

**Title:** An Operational Approach to Holography

**Abstract:** Quantum tasks are quantum computations which have inputs and outputs that occur at designated spacetime locations. Understanding when tasks are possible to complete, and what resources are required to complete them, captures spacetime-specific aspects of quantum information. In this talk we explore how quantum tasks can be used to capture operational implications of the holographic principle. In the context of the AdS/CFT correspondence we find this operational approach leads to a novel connection between causal features of bulk geometry and boundary entanglement.