Citation link: http://dx.doi.org/10.25819/ubsi/10124
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Dokument Type: Article
metadata.dc.title: State-independent quantum contextuality with projectors of nonunit rank
Authors: Xu, Zhen-Peng 
Yu, Xiao-Dong 
Kleinmann, Matthias 
Institute: Department Physik 
Free keywords: Quantum contextuality, Nonunit rank, Graph theoretic approach
Dewey Decimal Classification: 530 Physik
GHBS-Clases: UHHM
Issue Date: 2021
Publish Date: 2022
Source: New journal of physics ; 23 (2021), 043025. - https://doi.org/10.1088/1367-2630/abe6e3
Abstract: 
Virtually all of the analysis of quantum contextuality is restricted to the case where events are represented by rank-one projectors. This restriction is arbitrary and not motivated by physical considerations. We show here that loosening the rank constraint opens a new realm of quantum contextuality and we demonstrate that state-independent contextuality (SIC) can even require projectors of nonunit rank. This enables the possibility of SIC with less than 13 projectors, which is the established minimum for the case of rank one. We prove that for any rank, at least 9 projectors are required. Furthermore, in an exhaustive numerical search we find that 13 projectors are also minimal for the cases where all projectors are uniformly of rank two or uniformly of rank three.
Description: 
Finanziert aus dem Open-Access-Publikationsfonds der Universität Siegen für Zeitschriftenartikel
DOI: http://dx.doi.org/10.25819/ubsi/10124
URN: urn:nbn:de:hbz:467-22135
URI: https://dspace.ub.uni-siegen.de/handle/ubsi/2213
License: http://creativecommons.org/licenses/by/4.0/
Appears in Collections:Publikationen aus der Universität Siegen

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