Results 31 to 40 of about 6,146 (274)
Contextual logic for quantum systems [PDF]
Journal of Mathematical Physics, 2004 In this work we build a quantum logic that allows us to refer to physical magnitudes pertaining to different contexts from a fixed one without the contradictions with quantum mechanics expressed in no-go theorems. This logic arises from considering a sheaf over a topological space associated with the Boolean sublattices of the ortholattice of closed ...
Domenech G, FREYTES, HECTOR CARLOS
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Causation does not explain contextuality [PDF]
Quantum, 2018 Realist interpretations of quantum mechanics presuppose the existence of elements of reality that are independent of the actions used to reveal them. Such a view is challenged by several no-go theorems that show quantum correlations cannot be explained ...
Sally Shrapnel, Fabio Costa
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Entropic Test of Quantum Contextuality [PDF]
Physical Review Letters, 2012 We study the contextuality of a three-level quantum system using classical conditional entropy of measurement outcomes. First, we analytically construct the minimal configuration of measurements required to reveal contextuality. Next, an entropic contextual inequality is formulated, analogous to the entropic Bell inequalities derived by Braunstein and ...
Kurzyński, P. +2 more
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Quantum Contextuality Provides Communication Complexity Advantage
Physical Review Letters, 2023 6+9 pages.
Shashank Gupta +4 more
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Homotopical approach to quantum contextuality [PDF]
Quantum, 2020 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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Golay codes and quantum contextuality
Physical Review A, 2022 It is shown that the codewords of the binary and ternary Golay codes can be converted into rays in RP(23) and RP(11) that provide proofs of the Kochen-Specker theorem in real state spaces of dimension 24 and 12, respectively. Some implications of these results are discussed.
Mordecai Waegell, P. K. Aravind
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Contextuality in infinite one-dimensional translation-invariant local Hamiltonians
npj Quantum Information, 2022 In recent years there has been a growing interest in treating many-body systems as Bell scenarios, where lattice sites play the role of distant parties and only near-neighbor statistics are accessible. We investigate contextuality arising from three Bell
Kaiyan Yang +6 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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Contextual measurement model and quantum theory. [PDF]
R Soc Open SciWe develop a contextual measurement model (CMM) that is used for the clarification of the quantum foundations. This model matches Bohr’s views on the role of experimental contexts. CMM is based on a contextual probability theory that is connected with generalized probability theory.
Khrennikov A.
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, 2017 Contextuality is a fundamental feature of quantum theory and is necessary for quantum computation and communication. Serious steps have therefore been taken towards a formal framework for contextuality as an operational resource.
Amaral, Barbara +3 more
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