On Finite Blocklength Converse Bounds for Classical Communication over Quantum Channels

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Conference Proceeding
IEEE International Symposium on Information Theory - Proceedings, 2018, 2018-June pp. 2157 - 2161
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© 2018 IEEE. We explore several new converse bounds for classical communication over quantum channels in the finite blocklength regime. First, we show that the Matthews-Wehner meta-converse bound for entanglement-assisted classical communication can be achieved by activated, no-signalling assisted codes, suitably generalizing a result for classical channels. Second, we derive a new meta-converse on the amount of information unassisted codes can transmit over a single use of a quantum channel. We further show that this meta-converse can be evaluated via semidefinite programming. As an application, we provide a second-order analysis of classical communication over quantum erasure channels.
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