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Towards a new ontological framework for quantum theory
Lorenzo Catani Chapman University

Spin Entanglement Witness for Quantum Gravity
Anupam Mazumdar University of Groningen

Witnessing nonclassicality with measurement dependence.
George Moreno Universidade Federal do Rio Grande do Norte

Anyonic information theory and quantum foundations
Nicetu Tibau Vidal University of Oxford

Towards the identification of Quantum Theory: Operational Approach
Sutapa Saha Indian Statistical Institute

State retrieval beyond Bayes' retrodiction
Jacopo Surace Perimeter Institute for Theoretical Physics




The simplicial approach to quantum contextuality
Selman Ipek Bilkent University

TBA
Sandu Popescu University of Bristol
Abstract: TBD
Zoom Link: https://pitp.zoom.us/j/95212522185?pwd=eWx4R3o3cmZISmtPY0xwMmdxc2EzZz09

Witnessing nonclassicality in a causal structure with three observable variables  Pedro Nobrega Lauand, Physics Institute at University of Campinas
Bell's theorem proves that quantum theory is inconsistent with local physical models and, from the perspective of causal inference, it can be seen as the impossibility of providing a classical causal explanation to quantum correlations. Bell's theorem has propelled research in the foundations of quantum theory and quantum information science. In the last decade, the investigation of nonlocality has moved beyond Bell's theorem to consider more complicated causal structures allowing for communication between the parts and involving several independent sources which distribute shares of physical systems in a network. For the case of three observable variables, it is known that there are three nontrivial causal networks. Two of those, are known to give rise to quantum nonclassicality: the instrumental and the triangle scenarios. In this talk, we introduce new tools to tackle the compatibility problem in the general framework of Bayesian networks and explore the remaining nontrivial network, which we call the Evans scenario. We do not solve its main open problem –whether quantum nonclassical correlations can arise from it – but give a significant step in this direction by proving that postquantum correlations, analogous to the PopescuRohrlich box, do violate the constraints imposed by a classical description of Evans causal structure.
Zoom Link: https://pitp.zoom.us/j/98549320714?pwd=QVllZXNpZTFqekI1ZVUrK3ZLdnRjZz09

Towards a new ontological framework for quantum theory
Lorenzo Catani Chapman University
Nogo theorems (Bell, KochenSpecker, …) formally show the departure of quantum theory from classical theory. These are formulated in the framework of ontological models and, if one accepts such framework, entail that quantum theory involves problematic (“finetuned”) properties. I will argue that the lesson to take from the nogo theorems is to abandon the framework of ontological models as the way to model reality. I will analyze what I believe to be the unnatural assumptions of such framework and I will propose a way to change it. The basic principle of the new notion of reality I propose is that for something to exist is for something to be recorded. I will motivate the principle and explore its consequences. In order to implement such proposal into a precise theoryindependent mathematical framework I will make use of pointfree topological spaces (locales). I will discuss why this new proposal should be promising for understanding quantum theory and I will present several open questions.
Zoom link: https://pitp.zoom.us/j/91292006884?pwd=V2EzaEw5Z3NRUGd4cVdSRnlOOWFVZz09

Spin Entanglement Witness for Quantum Gravity
Anupam Mazumdar University of Groningen
Understanding gravity in the framework of quantum mechanics is one of the great challenges in modern physics. Along this line, a prime question is to find whether gravity is a quantum entity subject to the rules of quantum mechanics. It is fair to say that there are no feasible ideas yet to test the quantum coherent behaviour of gravity directly in a laboratory experiment. I will introduce an idea for such a test based on the principle that two objects cannot be entangled without a quantum mediator. I will show that despite the weakness of gravity, the phase evolution induced by the gravitational interaction of two micron size test masses in adjacent matterwave interferometers can detectably entangle them even when they are placed far apart enough to keep CasimirPolder forces at bay. I will provide a prescription for witnessing this entanglement, which certifies gravity as a quantum coherent mediator, through simple correlation measurements between two spins: one embedded in each test mass. Fundamentally, the above entanglement is shown to certify the presence of nonzero offdiagonal terms in the coherent state basis of the gravitational field modes.
Zoom link: https://pitp.zoom.us/j/99584743899?pwd=aHl1cVlpK29ZVDkrdFZyM01GemJJdz09

Witnessing nonclassicality with measurement dependence.
George Moreno Universidade Federal do Rio Grande do Norte
Nonclassicality, as witnessed by the incapacity of Classical Causal Theory (CCT) of explaining a system's behavior given its causal structure, come to be one of the hottest topics in Quantum Foundations over the last decades, a movement that was motivated both by its vast range of practical applications and by the powerful insights it provides about the rules of the quantum world. Among the many attempts at understanding/quantifying this phenomenon, we highlight the idea of inquiring how further would it be necessary to relax the causal structure associated with a given system in order to have its nonclassical behavior explained by CCT. More recently, we showed that the relaxation demanded to explain the behavior of a subset of variables in a given experiment may not be allowed by the embedding causal structure when considering the behavior of the remaining variables, which led to a new way of witnessing nonclassicality. In this seminar, we discuss a new way of quantifying this incompatibility and possible generalizations of this approach to different scenarios.
Zoom link: https://pitp.zoom.us/j/96051313203?pwd=bFNhOEhkSVhXWk8yd1hVZWVVa0U4UT09

Anyonic information theory and quantum foundations
Nicetu Tibau Vidal University of Oxford
In this talk, I present the latest works on anyonic information theory and how it is linked to aspects of quantum foundations. First, the theory of 2+1 D nonabelian anyons will be introduced. The newly discovered notion of anyonic creation operators will be presented, as well as their use as local elements of reality within the DeutschHayden interpretation of quantum mechanics. Lastly, I will show strange properties of anyonic entanglement that appear due to the lack of a tensor product structure, such as the different spectra of marginals in bipartite systems. This property makes the Von Neumann entropy a bad entanglement measure. I will explain the challenges of defining entanglement measures for anyonic systems and current approaches.
Zoom link: https://pitp.zoom.us/j/99863263804?pwd=MUhkYTBzcUlwTmJ0Z3F4aFo3Rkt6QT09

Towards the identification of Quantum Theory: Operational Approach
Sutapa Saha Indian Statistical Institute
In spite of its immense importance in the presentday information technology, the foundational aspects of quantum theory (QT) remain still elusive. In particular, there is no such set of physically motivated axioms which can answer why Hilbert space formalism is the only natural choice to describe the microscopic world. Hence, to shed light on the unique formalism of QT, two different operational frameworks will be described in the primitive of various convex operational theories. The first one refers to a kinematical symmetry principle which would be proposed from the perspective of single copy state discrimination and it would be shown that this symmetry holds for both classical and QT – two successful descriptions of the physical world. On the other hand, studying a wide range of convex operational theories, namely the General Probabilistic Theories (GPTs) with polygonal state spaces, we observe the absence of such symmetry. Thus, the principle deserves its own importance to mark a sharp distinction between the physical and unphysical theories. Thereafter, a distributed computing scenario will be introduced for which the other convex theories except the QT turn out to be equivalent to the classical one even though the theories possess more exotic state and effect spaces. We have coined this particular operational framework as ‘Distributed computation with limited communication’ (DCLC). Furthermore, it will be shown that the distributed computational strength of quantum communication will be justified in terms of a stronger version of this task, namely the ‘Delayed choice distributed computation with limited communication’ (DC2LC). The proposed task thus provides a new approach to operationally single out quantum theory in the theoryspace and hence promises a novel perspective towards the axiomatic derivation of Hilbert space quantum mechanics.
References:
Phys. Rev. A (Rapid)100, 060101 (2019)
Ann. Phys.(Berlin)2020,532, 2000334 (2020)
arXiv:2012.05781 [quantph](2020)Zoom link: https://pitp.zoom.us/j/92924188227?pwd=ODJYQXVoaUtzZmZIdFlmcUNIV3Rmdz09

State retrieval beyond Bayes' retrodiction
Jacopo Surace Perimeter Institute for Theoretical Physics
In the context of irreversible dynamics, the meaning of the reverse of a physical evolution can be quite ambiguous. It is a standard choice to define the reverse process using Bayes' theorem, but, in general, this is not optimal with respect to the relative entropy of recovery. In this work we explore whether it is possible to characterise an optimal reverse map building from the concept of state retrieval maps. In doing so, we propose a set of principles that state retrieval maps should satisfy. We find out that the Bayes inspired reverse is just one case in a whole class of possible choices, which can be optimised to give a map retrieving the initial state more precisely than the Bayes rule. Our analysis has the advantage of naturally extending to the quantum regime. In fact, we find a class of reverse transformations containing the Petz recovery map as a particular case, corroborating its interpretation as a quantum analogue of the Bayes retrieval.
Finally, we present numerical evidence showing that by adding a single extra axiom one can isolate for classical dynamics the usual reverse process derived from Bayes' theorem.
Zoom link: https://pitp.zoom.us/j/93589286500?pwd=dkZuRzR0SlhVd1lPdGNOZWFYQWtRZz09

Physical interpretation of nonnormalizable quantum states and a new notion of equilibrium in pilotwave theory
Indrajit Sen Chapman University
Nonnormalizable quantum states are usually discarded as mathematical artefacts in quantum mechanics. However, such states naturally occur in quantum gravity as solutions to physical constraints. This suggests reconsidering the interpretation of such states. Some of the existing approaches to this question seek to redefine the inner product, but this arguably leads to further challenges.
In this talk, I will propose an alternative interpretation of nonnormalizable states using pilotwave theory. First, I will argue that the basic conceptual structure of the theory contains a straightforward interpretation of these states. Second, to better understand such states, I will discuss nonnormalizable states of the quantum harmonic oscillator from a pilotwave perspective. I will show that, contrary to intuitions from orthodox quantum mechanics, the nonnormalizable eigenstates and their superpositions are bound states in the sense that the pilotwave velocity field vy→0 at large ±y. Third, I will introduce a new notion of equilibrium, named pilotwave equilibrium, and use it to define physicallymeaningful equilibrium densities for such states. I will show, via an Htheorem, that an arbitrary initial density with compact support relaxes to pilotwave equilibrium at a coarsegrained level, under assumptions similar to those for relaxation to quantum equilibrium. I will conclude by discussing the implications for pilotwave theory, quantum gravity and quantum foundations in general.
Based on:
I. Sen. "Physical interpretation of nonnormalizable harmonic oscillator states and relaxation to pilotwave equilibrium" arXiv:2208.08945 (2022)
Zoom link: https://pitp.zoom.us/j/93736627504?pwd=VGtxZE5rTFdnT1dqZlFRWTFvWlFQUT09

Bipartite entanglement and the arrow of time
Quantum correlations in general and quantum entanglement in particular embody both our continued struggle towards a foundational understanding of quantum theory as well as the latter’s advantage over classical physics in various information processing tasks. Consequently, the problems of classifying (i) quantum states from more general (nonsignalling) correlations, and (ii) entangled states within the set of all quantum states, are at the heart of the subject of quantum information theory.
In this talk I will present two recent results (from https://journals.aps.org/pra/abstract/10.1103/PhysRevA.106.062420 and https://arxiv.org/abs/2207.00024) that shed new light on these problems, by exploiting a surprising connection with time in quantum theory:
First, I will sketch a solution to problem (i) for the bipartite case, which identifies a key physical principle obeyed by quantum theory: quantum states preserve local time orientations—roughly, the unitary evolution in local subsystems.
Second, I will show that time orientations are intimately connected with quantum entanglement: a bipartite quantum state is separable if and only if it preserves arbitrary local time orientations. As a variant of Peres's wellknown entanglement criterion, this provides a solution to problem (ii).
Zoom link: https://pitp.zoom.us/j/97607837999?pwd=cXBYUmFVaDRpeFJSZ0JzVmhSajdwQT09

Analysis of the superdeterministic Invariantset theory in a hiddenvariable setting
Indrajit Sen Chapman University
Superdeterminism has received a recent surge of attention in the foundations community. A particular superdeterministic proposal, named Invariantset theory, appears to bring ideas from several diverse fields (eg. number theory, chaos theory etc.) to quantum foundations and provides a novel justification for the choice of initial conditions in terms of statespace geometry. However, the lack of a concrete hiddenvariable model makes it difficult to evaluate the proposal from a foundational perspective.
In this talk, I will critically analyse this superdeterministic proposal in three steps. First, I will show how to build a hiddenvariable model based on the proposal's ideas. Second, I will analyse the properties of the model and show that several arguments that appear to work in the proposal (on counterfactual measurements, noncommutativity etc.) fail when considered in the model. Further, the model is not only superdeterministic but also nonlocal, $\psi$ontic and contains redundant information in its bitstring. Third, I will discuss the accuracy of the model in representing the proposal. I will consider the arguments put forward to claim inaccuracy and show that they are incorrect. My results lend further support to the view that superdeterminism is unlikely to solve the puzzle posed by the Bell correlations.
Based on the papers:
1. I. Sen. "Analysis of the superdeterministic Invariantset theory in a hiddenvariable setting." Proc. R. Soc. A 478.2259 (2022): 20210667.
2. I. Sen. "Reply to superdeterminists on the hiddenvariable formulation of Invariantset theory." arXiv:2109.11109 (2021).
Zoom link: https://pitp.zoom.us/j/99415427245?pwd=T3NOWUxKTENnMThRVEd3ZTRzU3ZKZz09

The simplicial approach to quantum contextuality
Selman Ipek Bilkent University
Central to many of the paradoxes arising in quantum theory is that the act of measurement cannot be understood as merely revealing the preexisting values of some hidden variables, a phenomenon known as contextuality. In the past few years quantum contextuality has been formalized in a variety of ways; operationtheoretic, sheaftheoretic, (hyper)graphtheoretic, and cohomological. In this seminar we will discuss the simplicial approach to contextuality introduced in arXiv:2204.06648, which builds off the earlier sheaftheoretic approach of AbramskyBrandenberger (arXiv:1102.0264) and the cohomological approach of Okay, et al. (arXiv:1701.01888). In the simplicial approach measurement scenarios and their statistics can be modeled topologically as simplicies using the theory of simplicial sets. The connection to topology provides an additional analytical handle, allowing for a rigorous study of both statedependent and stateindependent contextuality. Using this formalism we present a novel topological proof of Fine's theorem for characterizing noncontextuality in Bell scenarios.
Zoom link: https://pitp.zoom.us/j/93748699892?pwd=SVhVaTdoRmlwaGdCZVdIWVlKTktjQT09