The CHSH Test is Sufficient to Observe the KCBS-Type Quantum Contextuality

Fuente: arXiv
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Auteur principal: Diker, Firat
Format: Preprint
Publié: 2023
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author Diker, Firat
author_facet Diker, Firat
contents In this work, we show that the well-known Bell test called Clauser-Horne-Shimony-Holt (CHSH) does not only exhibit non-locality but also the KCBS-type contextuality. For this purpose, we investigate the symmetric subgroup of two-qubit states corresponding to qutrit states (three-level quantum states), which exhibit the KCBS-type (non-)contextuality. Later, we apply the CHSH test to them and find a new non-contextuality bound for this test. This shows us that the CHSH inequality can be modified by changing the limit to use it as a KCBS-type contextuality test. Also, the number of measurements required is four, less than the number of measurements in the KCBS test (That is five).
format Preprint
id arxiv_https___arxiv_org_abs_2309_12868
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The CHSH Test is Sufficient to Observe the KCBS-Type Quantum Contextuality
Diker, Firat
Quantum Physics
In this work, we show that the well-known Bell test called Clauser-Horne-Shimony-Holt (CHSH) does not only exhibit non-locality but also the KCBS-type contextuality. For this purpose, we investigate the symmetric subgroup of two-qubit states corresponding to qutrit states (three-level quantum states), which exhibit the KCBS-type (non-)contextuality. Later, we apply the CHSH test to them and find a new non-contextuality bound for this test. This shows us that the CHSH inequality can be modified by changing the limit to use it as a KCBS-type contextuality test. Also, the number of measurements required is four, less than the number of measurements in the KCBS test (That is five).
title The CHSH Test is Sufficient to Observe the KCBS-Type Quantum Contextuality
topic Quantum Physics
url https://arxiv.org/abs/2309.12868