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Several relations between the Holevo capacity and the entanglement-assisted classical capacity of a quantum channel are proved, necessary and sufficient conditions for their coincidence are obtained.
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C.H. Bennett, P.W. Shor, J.A.Smolin, A.V.Thapliyal ”Entanglement-assisted classical capacity of noisy quantum channel”, Phys. Rev. Lett. 83, 3081-3084, 1999; arXiv:quant-ph/9904023
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M.A.Nielsen, I.L.Chuang ”Quantum Computation and Quantum Information”, Cambridge University Press, 2000
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C.H. Bennett, P.W. Shor, J.A.Smolin, A.V.Thapliyal ”Entanglement-assisted capacity and the reverse Shannon theorem”, IEEE Trans. Inform. Theory, 48:10, 2637-2655, 2002; arXiv:quant-ph/0106052
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H.Fan ”Remarks on entanglement assisted classical capacity”, Phys. Lett. A, 313:3, 2003; arXiv:quant-ph/0301066
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A.S.Holevo, ”Classical capacities of quantum channels with constrained inputs”, Probability Theory and Applications, 48:2, 359-374, 2003, arXiv quant-ph/0211170
2003
Cited alongside, same era.
M.Horodecki, P.W.Shor, M.B.Ruskai ”General Entanglement Breaking Channels”, Rev. Math. Phys 15, 629-641, 2003; arXiv:quant-ph/0302031
2003
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K.M.R.Audenaert, S.L.Braunstein, ”On Strong Superadditivity of the Entanglement of Formation”, Comm. Math. Phys., 246:3, 443-452, 2004
2004
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P.Hayden, R.Jozsa, D. Petz, A.Winter ”Structure of states which satisfy strong subadditivity of quantum entropy with equality”, Commun. Math. Phys., 246:2, 359-374, 2004; arXiv:quant-ph/0304007
2004
Cited alongside, same era.
A.S.Holevo, M.E.Shirokov ”On Shor’s channel extension and constrained channels”, Commun. Math. Phys. 249, 417-430, 2004; arXiv:quant-ph/0306196
A.S.Holevo ”On complementary channels and the additivity problem”, Probability Theory and Applications, 51:1, 134-143, 2006; arXiv:quant-ph/0509101
2006
Later among the works it cites.
C.King, K.Matsumoto, M.Nathanson, M.B.Ruskai ”Properties of Conjugate Channels with Applications to Additivity and Multiplicativity”, Markov Process and Related Fields, V.13, P.391-423, 2007; arXiv:quant-ph/0509126
2007
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2008
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2009
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2004
Cited alongside, same era.
M.Fukuda, A.S.Holevo ”On Weyl-covariant channels”, arXiv:quant-ph/0510148
Cited in the paper.
A.S.Holevo ”Remarks on the classical capacity of quantum channel”, arXiv:quant-ph/0212025
Cited in the paper.
B.Schumacher, M.D.Westmoreland ”Optimal signal ensemble”, arXiv:quant-ph/9912122
Cited in the paper.
Cited in the paper.
2012
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