Results 11 to 20 of about 6,544 (296)
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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Contextuality and Indistinguishability [PDF]
Entropy, 2017 It is well known that in quantum mechanics we cannot always define consistently properties that are context independent. Many approaches exist to describe contextual properties, such as Contextuality by Default (CbD), sheaf theory, topos theory, and non ...
José Acacio de Barros +2 more
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Contextuality and the fundamental theorems of quantum mechanics [PDF]
, 2020 Contextuality is a key feature of quantum mechanics, as was first brought to light by Bohr and later realised more technically by Kochen and Specker.
Frembs, Markus +3 more
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Contextual Fraction as a Measure of Contextuality [PDF]
Physical Review Letters, 2017 We consider the contextual fraction as a quantitative measure of contextuality of empirical models, i.e. tables of probabilities of measurement outcomes in an experimental scenario. It provides a general way to compare the degree of contextuality across measurement scenarios; it bears a precise relationship to violations of Bell inequalities; its value,
Abramsky, Samson +2 more
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Quantifying Contextuality [PDF]
Physical Review Letters, 2014 Contextuality is central to both the foundations of quantum theory and to the novel information processing tasks. Although it was recognized before Bell's nonlocality, despite some recent proposals, it still faces a fundamental problem: how to quantify its presence? In this work, we provide a framework for quantifying contextuality.
A. Grudka +7 more
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CoRR, 2020 18 pages, to appear in Proceedings of 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)
Samson Abramsky, Rui Soares Barbosa
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Contextualizing ontologies [PDF]
Journal of Web Semantics, 2004 Ontologies are shared models of a domain that encode a view which is common to a set of different parties. Contexts are local models that encode a party's subjective view of a domain. In this paper we show how ontologies can be contextualized, thus acquiring certain useful properties that a pure shared approach cannot provide.
Paolo Bouquet +4 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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Experimental test of high-dimensional quantum contextuality based on contextuality concentration [PDF]
, 2023 Contextuality is a distinctive feature of quantum theory and a fundamental resource for quantum computation. However, existing examples of contextuality in high-dimensional systems lack the necessary robustness required in experiments.
Zhou, Jie +9 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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