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A necessary condition for reversibility (sufficiency) of a quantum channel with respect to complete families of states with bounded rank is obtained.
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A.Jencova, D.Petz ”Sufficiency in quantum statistical inference”, Commun. Math. Phys. 263, P.259-276, 2006; arXiv:math-ph/0412093
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2006
Cited alongside, same era.
F.Hiai, M.Mosonyi, D.Petz, C.Beny ”Quantum f-divergences and error correction”, arXiv:1008.2529
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A.S.Holevo ”Remarks on the classical capacity of quantum channel”, arXiv:quant-ph/0212025
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A.Jencova ”Reversibility conditions for quantum operations”, arXiv:1107.0453
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B.Schumacher, M.D.Westmoreland ”Optimal signal ensemble”, arXiv:quant-ph/9912122
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M.E.Shirokov ”On equalities in two entropic inequalities”, arXiv:1302.5336
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2012
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