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We revisit a fundamental open problem in quantum information theory, namely whether it is possible to transmit quantum information at a rate exceeding the channel capacity if we allow for a non-vanishing probability of decoding error.
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Also appeared in Asymptotic Theory of Quantum Statistical Inference, ed. M. Hayashi, World Scientific, 2005
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M. Tomamichel and M. Hayashi, “A hierarchy of information quantities for finite block length analysis of quantum tasks,” IEEE Transactions on Information Theory · 2013
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R. Klesse, “A random coding based proof for the quantum coding theorem,” Open Systems & Information Dynamics · 2008
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P. Hayden, P. W. Shor, and A. Winter, “Random quantum codes from Gaussian ensembles and an uncertainty relation,” Open Systems & Information Dynamics · 2008
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G. Smith, J. A. Smolin, and A. Winter, “The quantum capacity with symmetric side channels,” IEEE Transactions on Information Theory · 2008
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M.-H. Hsieh, I. Devetak, and A. Winter, “Entanglement-assisted capacity of quantum multiple-access channels,” IEEE Transactions on Information Theory · 2008
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M. M. Wilde, A. Winter, and D. Yang, “Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Rényi relative entropy,” Communications in Mathematical Physics · 2014
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M. Gupta and M. M. Wilde, “Multiplicativity of completely bounded p p -norms implies a strong converse for entanglement-assisted capacity,” Communications in Mathematical Physics · 2015
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M. Tomamichel and V. Y. F. Tan, “Second-order asymptotics for the classical capacity of image-additive quantum channels,” Communication in Mathematical Physics · 2015
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N. Datta and F. Leditzky, “Second-order asymptotics for source coding, dense coding and pure-state entanglement conversions,” IEEE Transactions on Information Theory · 2016
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