Closing bell boxing black box simulations in the resource theory of contextuality

RS Barbosa, M Karvonen, S Mansfield - Samson Abramsky on Logic and …, 2023 - Springer
This chapter contains an exposition of the sheaf-theoretic framework for contextuality
emphasising resource-theoretic aspects, as well as some original results on this topic. In …

Continuous-variable nonlocality and contextuality

RS Barbosa, T Douce, PE Emeriau, E Kashefi… - … in Mathematical Physics, 2022 - Springer
Contextuality is a non-classical behaviour that can be exhibited by quantum systems. It is
increasingly studied for its relationship to quantum-over-classical advantages in informatic …

The topology of causality

S Gogioso, N Pinzani - arXiv preprint arXiv:2303.07148, 2023 - arxiv.org
We provide a unified operational framework for the study of causality, non-locality and
contextuality, in a fully device-independent and theory-independent setting. Our work has its …

Contextual semantics: From quantum mechanics to logic, databases, constraints, and complexity

S Abramsky - Contextuality from Quantum Physics to Psychology, 2015 - books.google.com
In this chapter we shall discuss some fundamental concepts in quantum mechanics: non-
locality, contextuality and entanglement. These concepts play a central role in the rapidly …

On the cohomology of contextuality

G Caru - arXiv preprint arXiv:1701.00656, 2017 - arxiv.org
Recent work by Abramsky and Brandenburger used sheaf theory to give a mathematical
formulation of non-locality and contextuality. By adopting this viewpoint, it has been possible …

Contextuality: At the Borders

S Abramsky - Categories for the working philosopher, 2017 - books.google.com
Logical consistency is usually regarded as a minimal requirement for scientific theor-ies, or
indeed for rational thought in general. Paraconsistent logics (Priest, 2002) aim at …

[HTML][HTML] Hypergraph framework for irreducible noncontextuality inequalities from logical proofs of the Kochen-Specker theorem

R Kunjwal - Quantum, 2020 - quantum-journal.org
Kochen-Specker (KS) theorem reveals the inconsistency between quantum theory and any
putative underlying model of it satisfying the constraint of KS-noncontextuality. A logical …

Almost quantum correlations are inconsistent with Specker's principle

T Gonda, R Kunjwal, D Schmid, E Wolfe, AB Sainz - Quantum, 2018 - quantum-journal.org
Ernst Specker considered a particular feature of quantum theory to be especially
fundamental, namely that pairwise joint measurability of sharp measurements implies their …

On monogamy of non-locality and macroscopic averages: examples and preliminary results

RS Barbosa - arXiv preprint arXiv:1412.8541, 2014 - arxiv.org
We explore a connection between monogamy of non-locality and a weak macroscopic
locality condition: the locality of the average behaviour. These are revealed by our analysis …

Possibilities determine the combinatorial structure of probability polytopes

S Abramsky, RS Barbosa, K Kishida, R Lal… - Journal of Mathematical …, 2016 - Elsevier
We study the set of no-signalling empirical models on a measurement scenario, and show
that the combinatorial structure of the no-signalling polytope is completely determined by the …