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Teoreticheskaya i Matematicheskaya Fizika, 2011, Volume 168, Number 1, Pages 151–161
DOI: https://doi.org/10.4213/tmf6670 (Mi tmf6670) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Probability representation of spin states and inequalities for unitary matrices

M. A. Man'ko

Lebedev Physical Institute, RAS, Moscow, Russia
Full-text PDF (358 kB) Citations (7)
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DOI: https://doi.org/10.4213/tmf6670
Abstract: We review the probability representation of spin states described by probability distributions (tomograms). We use the relation of a tomogram to unitary group elements to obtain some inequalities for unitary matrices. We present the Cirel'son bound and the entropic inequalities for entangled spin states in the form of relations for functions on the unitary group.
Keywords: entanglement, tomographic probability, Bell's inequality, entropic uncertainty relation.
English version:
Theoretical and Mathematical Physics, 2011, Volume 168, Issue 1, Pages 985–993
DOI: https://doi.org/10.1007/s11232-011-0080-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. A. Man'ko, “Probability representation of spin states and inequalities for unitary matrices”, TMF, 168:1 (2011), 151–161; Theoret. and Math. Phys., 168:1 (2011), 985–993
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:81
    First page:11
     
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