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Contextuality, Complementarity, Signaling, and Bell Tests

open access: yesEntropy, 2022
This is a review devoted to the complementarity–contextuality interplay with connection to the Bell inequalities. Starting the discussion with complementarity, I point to contextuality as its seed.
Andrei Khrennikov
exaly   +3 more sources

Contextuality in Collective Intelligence: Not There Yet [PDF]

open access: yesEntropy, 2023
Type I contextuality or inconsistent connectedness is a fundamental feature of both the classical as well as the quantum realms. Type II contextuality (true contextuality or CHSH-type contextuality) is frequently asserted to be specific to the quantum ...
William Sulis, Ali Khan
doaj   +2 more sources

Degrees, Levels, and Profiles of Contextuality [PDF]

open access: yesEntropy
We introduce a new notion, that of a contextuality profile of a system of random variables. Rather than characterizing a system’s contextuality by a single number, its overall degree of contextuality, we show how it can be characterized by a curve ...
Ehtibar N. Dzhafarov   +1 more
doaj   +2 more sources

Violation of Leggett–Garg Inequality in Perceiving Cup-like Objects and Cognitive Contextuality [PDF]

open access: yesEntropy
This paper is devoted to an experimental investigation of cognitive contextuality inspired by quantum contextuality research. This contextuality is related to, but not identical to context-sensitivity which is well-studied in cognitive psychology and ...
Likan Zhan   +2 more
doaj   +2 more sources

Chromatic Quantum Contextuality [PDF]

open access: yesEntropy
Chromatic quantum contextuality is a criterion of quantum nonclassicality based on (hyper)graph coloring constraints. If a quantum hypergraph requires more colors than the number of outcomes per maximal observable (context), it lacks a classical ...
Karl Svozil
doaj   +2 more sources

Hypergraph framework for irreducible noncontextuality inequalities from logical proofs of the Kochen-Specker theorem [PDF]

open access: yesQuantum, 2020
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
doaj   +1 more source

Quantum Contextuality [PDF]

open access: yesQuantum, 2023
Quantum contextual sets have been recognized as resources for universal quantum computation, quantum steering and quantum communication. Therefore, we focus on engineering the sets that support those resources and on determining their structures and ...
Mladen Pavicic
doaj   +1 more source

Homotopical approach to quantum contextuality [PDF]

open access: yesQuantum, 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
doaj   +1 more source

Assumption-Free Derivation of the Bell-Type Criteria of Contextuality/Nonlocality

open access: yesEntropy, 2021
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
doaj   +1 more source

State-independent test of quantum contextuality with either single photons or coherent light

open access: yesnpj Quantum Information, 2021
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
doaj   +1 more source

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