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We start with Fannes' type and Winter's type tight continuity bounds for the quantum conditional mutual information and their specifications for states of special types.
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R.Alicki, M.Fannes, ”Continuity of quantum conditional information”, Journal of Physics A: Mathematical and General, V.37, N.5, L55-L57 (2004); arXiv: quant-ph/0312081
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K.M.R. Audenaert, J. Eisert, ”Continuity bounds on the quantum relative entropy”, J. Math. Phys. 46, 102104 (2005); quant-ph/0503218
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A.S.Holevo, M.E.Shirokov ”Continuous ensembles and the χ \chi -capacity of infinite dimensional channels”, Theory of Probability and its Applications, V.50, N.1, P.8698 (2005); arXiv:quant-ph/0408176
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M.E.Shirokov, ”Entropic characteristics of subsets of states I”, Izvestiya: Mathematics, V.70, N.6, 1265-1292 (2006); arXiv:quant-ph/0510073
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N.Li, S.Luo, ”Classical and quantum correlative capacities of quantum systems”, Phys. Rev. A 84, 042124 (2011)
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A.S.Holevo ”Quantum systems, channels, information. A mathematical introduction”, Berlin, DeGruyter, 2012
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K.M.R. Audenaert ”Quantum Skew Divergence”, J. Math. Phys. 55, 112202 (2014); arXiv:1304.5935
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2006
Cited alongside, same era.
K.M.R.Audenaert, ”A sharp continuity estimate for the von Neumann entropy”, J. Math. Phys. A: Math. Theor. 40(28), 8127-8136 (2007)
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V.I.Bogachev, ”Measure theory”, Springer-Verlag Berlin Heidelberg, 2007
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Cited alongside, same era.
I.Devetak, J.Yard, ”The operational meaning of quantum conditional information”, Phys. Rev. Lett. 100, 230501 (2008); arXiv:quant-ph/0612050
2008
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D.Leung, G.Smith, ”Continuity of quantum channel capacities”, Commun. Math. Phys., V.292, 201-215 (2009)
2009
Cited alongside, same era.
2009
Cited alongside, same era.
M.E.Shirokov, ”Energy-constrained diamond seminorms and their use in quantum information theory”, arXiv:1706.xxxxx
Cited in the paper.
M.M.Wilde, ”From Classical to Quantum Shannon Theory”, arXiv:1106.1445 (v.6)
Cited in the paper.
Later among the works it cites.
2015
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F.Buscemi, S.Das, M.M.Wilde, ”Approximate reversibility in the context of entropy gain, information gain, and complite positivity”, Physical Review A, 93:6, 062314, (2016)
2016
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2016
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2016
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