Impossibility Theorem for Extending Contextuality to Disturbing Systems

Fuente: arXiv
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Autores principales: Tezzin, Alisson, Wolfe, Elie, Amaral, Barbara, Jones, Matt
Formato: Preprint
Publicado: 2022
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author Tezzin, Alisson
Wolfe, Elie
Amaral, Barbara
Jones, Matt
author_facet Tezzin, Alisson
Wolfe, Elie
Amaral, Barbara
Jones, Matt
contents Recently there has been much interest and progress in extending the definition of contextuality to systems with disturbance. We prove that such an endeavor cannot simultaneously satisfy the following principles: (1) any deterministic system is noncontextual; (2) discarding information cannot turn a noncontextual system into a contextual one; (3) classical post-processing cannot create contextuality; (4) the joint realization of two statistically independent noncontextual systems is noncontextual. We also prove the same result without principle 4, under a stronger version of principle 1.
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id arxiv_https___arxiv_org_abs_2212_06976
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Impossibility Theorem for Extending Contextuality to Disturbing Systems
Tezzin, Alisson
Wolfe, Elie
Amaral, Barbara
Jones, Matt
Quantum Physics
Recently there has been much interest and progress in extending the definition of contextuality to systems with disturbance. We prove that such an endeavor cannot simultaneously satisfy the following principles: (1) any deterministic system is noncontextual; (2) discarding information cannot turn a noncontextual system into a contextual one; (3) classical post-processing cannot create contextuality; (4) the joint realization of two statistically independent noncontextual systems is noncontextual. We also prove the same result without principle 4, under a stronger version of principle 1.
title Impossibility Theorem for Extending Contextuality to Disturbing Systems
topic Quantum Physics
url https://arxiv.org/abs/2212.06976