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.
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Prepared from an English manuscript submitted by the author; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 168, No. 1, pp. 151–161, July, 2011.
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Man’ko, M.A. Probability representation of spin states and inequalities for unitary matrices. Theor Math Phys 168, 985–993 (2011). https://doi.org/10.1007/s11232-011-0080-4
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DOI: https://doi.org/10.1007/s11232-011-0080-4