Violation of Bell's Inequalities in Jordan Triples and Jordan Algebras

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00381380" target="_blank" >RIV/68407700:21230/24:00381380 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1134/S008154382401019X" target="_blank" >https://doi.org/10.1134/S008154382401019X</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1134/S008154382401019X" target="_blank" >10.1134/S008154382401019X</a>

Result language
angličtina
Original language name
Violation of Bell's Inequalities in Jordan Triples and Jordan Algebras
Original language description
We formulate and prove Bell's inequalities in the realm of JB* triples and JB* algebras. We show that the maximal violation of Bell's inequalities occurs in any JBW* triple containing a nonassociative 2-Peirce subspace. Moreover, we show that the violation of Bell's inequalities in a nonmodular JBW* algebra and in an essentially nonmodular JBW* triple is generic. We describe the structure of maximal violators and its relation to the spin factor. In addition, we present a synthesis of available results based on a unified geometric approach.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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