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We provide lower and upper bounds on the information transmission capacity of one single use of a classical-quantum channel.
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K.M.R. Audenaert, M. Nussbaum, A. Szkoła, F. Verstraete: Asymptotic error rates in quantum hypothesis testing ; Comm. Math. Phys. 279
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F. Hiai, M. Mosonyi, T. Ogawa: Error exponents in hypothesis testing for correlated states on a spin chain ; J. Math. Phys. 49
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T.M. Cover, J.A. Thomas: Elements of Information Theory, 2nd ed. ; Wiley Interscience, (2005)
2005
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K.M.R. Audenaert, J. Calsamiglia, Ll. Masanes, R. Munoz-Tapia, A. Acin, E. Bagan, F. Verstraete.: Discriminating states: the quantum Chernoff bound ; Phys. Rev. Lett. 98
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M. Hayashi: Error exponent in asymmetric quantum hypothesis testing and its application to classical-quantum channel coding ; Phys. Rev. A 76
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F. Buscemi, N. Datta: One-shot quantum capacities of quantum channels ; arXiv:0902.0158
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R. Colbeck, private communication
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N. Datta: Min- and Max- Relative Entropies and a New Entanglement Measure arXiv:0803.2770
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M. Mosonyi: Hypothesis testing for Gaussian states on bosonic lattices ; J. Math. Phys. 50
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M. Nussbaum, A. Szkoła: A lower bound of Chernoff type for symmetric quantum hypothesis testing ; Ann. Statist. 37
2009
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