Measurement incompatibility and steering are necessary and sufficient for operational contextuality
Physical Review Research, 2020 Contextuality is a signature of operational nonclassicality in the outcome statistics of an experiment. This notion of nonclassicality applies to a breadth of physical phenomena. Here, we establish its relation to two fundamental nonclassical entities in
Armin Tavakoli, Roope Uola
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On the Cohomology of Contextuality [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 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 to define cohomological obstructions to the existence of global sections ...
Giovanni Carù
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Sum-of-squares decompositions for a family of noncontextuality inequalities and self-testing of quantum devices [PDF]
Quantum, 2020 Violation of a noncontextuality inequality or the phenomenon referred to `quantum contextuality' is a fundamental feature of quantum theory. In this article, we derive a novel family of noncontextuality inequalities along with their sum-of-squares ...
Debashis Saha +2 more
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Resource-theoretic hierarchy of contextuality for general probabilistic theories [PDF]
QuantumIn this work we present a hierarchy of generalized contextuality. It refines the traditional binary distinction between contextual and noncontextual theories, and facilitates their comparison based on how contextual they are.
Lorenzo Catani +2 more
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Measurement contextuality and Planck’s constant
New Journal of Physics, 2018 Contextuality is a necessary resource for universal quantum computation and non-contextual quantum mechanics can be simulated efficiently by classical computers in many cases. Orders of Planck’s constant, ℏ, can also be used to characterize the classical-
Lucas Kocia, Peter Love
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Optimal and tight Bell inequalities for state-independent contextuality sets
Physical Review Research, 2023 Two fundamental quantum resources, nonlocality and contextuality, can be connected through Bell inequalities that are violated by state-independent contextuality (SI-C) sets.
Junior R. Gonzales-Ureta +2 more
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Contextuality in Neurobehavioural and Collective Intelligence Systems
Quantum Reports, 2021 Contextuality is often described as a unique feature of the quantum realm, which distinguishes it fundamentally from the classical realm. This is not strictly true, and stems from decades of the misapplication of Kolmogorov probability.
William Sulis
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An Order-Theoretic Quantification of Contextuality
Information, 2014 In this essay, I develop order-theoretic notions of determinism and contextuality on domains and topoi. In the process, I develop a method for quantifying contextuality and show that the order-theoretic sense of contextuality is analogous to the sense ...
Ian T. Durham
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Contextuality as a resource for measurement-based quantum computation beyond qubits
New Journal of Physics, 2018 Contextuality—the obstruction to describing quantum mechanics in a classical statistical way—has been proposed as a resource that powers quantum computing.
Markus Frembs +2 more
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Contextuality in Classical Physics and Its Impact on the Foundations of Quantum Mechanics
Entropy, 2021 It is shown that the hallmark quantum phenomenon of contextuality is present in classical statistical mechanics (CSM). It is first shown that the occurrence of contextuality is equivalent to there being observables that can differentiate between pure and
Fritiof Wallentin
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