Results 11 to 20 of about 1,577 (257)
Hypergraph framework for irreducible noncontextuality inequalities from logical proofs of the Kochen-Specker theorem [PDF]
Kochen-Specker (KS) theorem reveals the inconsistency between quantum theory and any putative underlying model of it satisfying the constraint of KS-noncontextuality.
Ravi Kunjwal
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Contextual Fraction as a Measure of Contextuality [PDF]
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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Homotopical approach to quantum contextuality [PDF]
We consider the phenomenon of quantum mechanical contextuality, and specifically parity-based proofs thereof. Mermin’s square and star are representative examples.
Cihan Okay, Robert Raussendorf
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Assumption-Free Derivation of the Bell-Type Criteria of Contextuality/Nonlocality
Bell-type criteria of contextuality/nonlocality can be derived without any falsifiable assumptions, such as context-independent mapping (or local causality), free choice, or no-fine-tuning.
Ehtibar N. Dzhafarov
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Quantifying Contextuality [PDF]
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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State-independent test of quantum contextuality with either single photons or coherent light
Contextuality is a phenomenon at the heart of quantum mechanics different from classical behavior and has been recently identified as a resource in quantum information processing. Experimental demonstration of contextuality is thus an important goal.
Dengke Qu +4 more
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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]
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
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
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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