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Contextuality and the fundamental theorems of quantum mechanics
, 2022 Contextuality is a key feature of quantum mechanics, as was first brought to light by Bohr [Albert Einstein: Philosopher-Scientist, Library of Living Philosophers Vol. VII, edited by P. A. Schilpp (Open Court, 1998), pp.
Frembs, Markus +3 more
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Topological Contextuality and Anyonic Statistics of Photonic-Encoded Parafermions
PRX Quantum, 2021 Quasiparticle poisoning, expected to arise during the measurement of the Majorana zero-mode state, poses a fundamental problem for the realization of Majorana-based quantum computation.
Zheng-Hao Liu +15 more
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Bounding and Simulating Contextual Correlations in Quantum Theory
PRX Quantum, 2021 We introduce a hierarchy of semidefinite relaxations of the set of quantum correlations in generalized contextuality scenarios. This constitutes a simple and versatile tool for bounding the magnitude of quantum contextuality.
Armin Tavakoli +3 more
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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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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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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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A histories perspective on characterizing quantum non-locality [PDF]
, 2014 We introduce a framework for studying non-locality and contextuality inspiredby the path integral formulation of quantum theory. We prove that the existenceof a strongly positive joint quantum measure— the quantum analogue of a jointprobability measure —
Dowker, Fay +3 more
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Contextuality‚ cohomology and paradox [PDF]
, 2015 Contextuality is a key feature of quantum mechanics that provides an important non-classical resource for quantum information and computation. Abramsky and Brandenburger used sheaf theory to give a general treatment of contextuality in quantum theory ...
Mansfield, Shane +10 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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Non-Kochen–Specker Contextuality
Entropy, 2023 Quantum contextuality supports quantum computation and communication. One of its main vehicles is hypergraphs. The most elaborated are the Kochen–Specker ones, but there is also another class of contextual sets that are not of this kind.
Mladen Pavičić
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