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Contextuality, Complementarity, Signaling, and Bell Tests [PDF]

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
doaj   +4 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

Quantifying Contextuality [PDF]

open access: yesPhysical 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
exaly   +4 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

Measures of contextuality and non-contextuality [PDF]

open access: yesPhilosophical Transactions Series A, Mathematical, Physical, and Engineering Sciences, 2019
We discuss three measures of the degree of contextuality in contextual systems of dichotomous random variables. These measures are developed within the framework of the Contextuality-by-Default (CbD) theory, and apply to inconsistently connected systems (those with ‘disturbance’ allowed).
Janne V Kujala, Ehtibar N Dzhafarov
exaly   +4 more sources

Contextual Fraction as a Measure of Contextuality [PDF]

open access: yesPhysical 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,
Samson Abramsky   +2 more
exaly   +6 more sources

Wigner Function Negativity and Contextuality in Quantum Computation on Rebits

open access: yesPhysical Review X, 2015
We describe a universal scheme of quantum computation by state injection on rebits (states with real density matrices). For this scheme, we establish contextuality and Wigner function negativity as computational resources, extending results of M.
Nicolas Delfosse   +3 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

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