Entanglement estimation from Bell inequality violation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F13%3A33146340" target="_blank" >RIV/61989592:15310/13:33146340 - isvavai.cz</a>
Result on the web
<a href="http://pra.aps.org/pdf/PRA/v88/i5/e052105" target="_blank" >http://pra.aps.org/pdf/PRA/v88/i5/e052105</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.88.052105" target="_blank" >10.1103/PhysRevA.88.052105</a>
Alternative languages
Result language
angličtina
Original language name
Entanglement estimation from Bell inequality violation
Original language description
It is well known that the violation of Bell's inequality in the form given by Clauser, Horne, Shimony, and Holt (CHSH) in two-qubit systems requires entanglement, but not vice versa, i.e., there are entangled states which do not violate the CHSH inequality. Here we compare some standard entanglement measures with violations of the CHSH inequality (as given by the Horodecki measure) for two-qubit states generated by Monte Carlo simulations. We describe states that have extremal entanglement according tothe negativity, concurrence, and relative entropy of entanglement for a given value of the CHSH violation. We explicitly find these extremal states by applying the generalized method of Lagrange multipliers based on the Karush-Kuhn-Tucker conditions. Thefound minimal and maximal states define the range of entanglement accessible for any two-qubit states that violate the CHSH inequality by the same amount. We also find extremal states for the concurrence versus negativity by considering
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
BH - Optics, masers and lasers
OECD FORD branch
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Result continuities
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)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review A
ISSN
1050-2947
e-ISSN
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Volume of the periodical
88
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
10
Pages from-to
"052105-1"-"052105-10"
UT code for WoS article
000326815800002
EID of the result in the Scopus database
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