Bell Correlated and EPR States in the Framework of Jordan Algebras
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F16%3A00233717" target="_blank" >RIV/68407700:21230/16:00233717 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007/s10701-015-9966-6?wt_mc=internal.event.1.SEM.ArticleAuthorOnlineFirst" target="_blank" >http://link.springer.com/article/10.1007/s10701-015-9966-6?wt_mc=internal.event.1.SEM.ArticleAuthorOnlineFirst</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10701-015-9966-6" target="_blank" >10.1007/s10701-015-9966-6</a>
Alternative languages
Result language
angličtina
Original language name
Bell Correlated and EPR States in the Framework of Jordan Algebras
Original language description
We study Bell inequalities and EPR states in the context of Jordan algebras. We show that the set of states violating Bell inequalities across two operator commuting nonmodular Jordan Banach algebras is norm dense in the global state space. It generalizes hitherto known results in quantum field theory in several directions. We propose new Jordan quantity for incommensurable observables in a given state, introduce the concept of EPR state for Jordan structures, and study relationship between EPR states and Bell correlated states. Our analysis shows crucial role of spin factors and Pauli spin matrices for studying noncommutative properties of states and observables.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP201%2F12%2F0290" target="_blank" >GAP201/12/0290: Topological and geometrical properties of Banach spaces and operator algebras</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
FOUNDATIONS OF PHYSICS
ISSN
0015-9018
e-ISSN
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Volume of the periodical
46
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
20
Pages from-to
330-349
UT code for WoS article
000370338500005
EID of the result in the Scopus database
2-s2.0-84946148970