Results 41 to 50 of about 6,146 (274)
Quantum Advantage from Sequential-Transformation Contextuality [PDF]
Physical Review Letters, 2018 We introduce a notion of contextuality for transformations in sequential contexts, distinct from the Bell-Kochen-Specker and Spekkens notions of contextuality. Within a transformation-based model for quantum computation we show that strong sequential-transformation contextuality is necessary and sufficient for deterministic computation of non-linear ...
Mansfield, Shane, Kashefi, Elham
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Non-Classical Correlations in n-Cycle Setting
Entropy, 2019 Quantum communication and quantum computation form the two crucial facets of quantum information theory. While entanglement and its manifestation as Bell non-locality have been proved to be vital for communication tasks, contextuality (a generalisation ...
Kishor Bharti +2 more
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Uniqueness of all fundamental noncontextuality inequalities
Physical Review Research, 2020 Contextuality is one way of capturing the nonclassicality of quantum theory. The contextual nature of a theory is often witnessed via the violation of noncontextuality inequalities—certain linear inequalities involving probabilities of measurement events.
Kishor Bharti +3 more
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Quantum theory allows for absolute maximal contextuality
, 2015 Contextuality is a fundamental feature of quantum theory and a necessary resource for quantum computation and communication. It is therefore important to investigate how large contextuality can be in quantum theory.
Amaral, Barbara +2 more
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Graph-theoretic strengths of contextuality [PDF]
, 2017 Cabello-Severini-Winter and Abramsky-Hardy (building on the framework of Abramsky-Brandenburger) both provide classes of Bell and contextuality inequalities for very general experimental scenarios using vastly different mathematical techniques. We review
de Silva, Nadish
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Contextuality and Indistinguishability
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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Twin inequality for fully contextual quantum correlations
, 2013 Quantum mechanics exhibits a very peculiar form of contextuality. Identifying and connecting the simplest scenarios in which more general theories can or cannot be more contextual than quantum mechanics is a fundamental step in the quest for the ...
A. Cabello +4 more
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Contextuality as a resource for models of quantum computation on qubits [PDF]
, 2017 A central question in quantum computation is to identify the resources that are responsible for quantum speed-up. Quantum contextuality has been recently shown to be a resource for quantum computation with magic states for odd-prime dimensional qudits ...
Bermejo-Vega, Juan +4 more
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Contextual viewpoint to quantum stochastics [PDF]
Journal of Mathematical Physics, 2003 We study the role of context, complex of physical conditions, in quantum as well as classical experiments. It is shown that by taking into account contextual dependence of experimental probabilities we can derive the quantum rule for the addition of probabilities of alternatives.
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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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