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Contextuality and Indistinguishability [PDF]

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 ...
Federico Holik, Decio Krause, Holik Federico   +2 more
exaly   +8 more sources

Contextuality in Collective Intelligence: Not There Yet [PDF]

Entropy, 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

Contextuality, Complementarity, Signaling, and Bell Tests

Entropy, 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

Degrees, Levels, and Profiles of Contextuality [PDF]

Entropy
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, Víctor H. Cervantes   +1 more
doaj   +2 more sources

Measures of contextuality and non-contextuality [PDF]

Philosophical 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).
Ehtibar Dzhafarov, Janne V Kujala
exaly   +4 more sources

Quantum Contextuality [PDF]

Quantum, 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   +5 more sources

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

Entropy
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, Andrei Khrennikov, Yingce Zhu   +2 more
doaj   +2 more sources

Non-Kochen–Specker Contextuality

Entropy, 2023
Quantum contextuality supports quantum computation and communication. One of its main vehicles is hypergraphs. The most elaborated are the Kochen–Specker ones, but there is also another class of contextual sets that are not of this kind.
Mladen Pavicic
exaly   +3 more sources

Quantum Contextuality with Stabilizer States

Entropy, 2013
The Pauli groups are ubiquitous in quantum information theory because of their usefulness in describing quantum states and operations and their readily understood symmetry properties.
Jiří Vala, Mark Howard
exaly   +3 more sources

Chromatic Quantum Contextuality [PDF]

Entropy
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