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Strong Converse for Identification via Quantum Channels

R. Ahlswede·A. Winter
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Abstract

In this paper we present a simple proof of the strong converse for identification via discrete memoryless quantum channels, based on a novel covering lemma. The new method is a generalization to quantum communication channels of Ahlswede's recently discovered appoach to classical channels. It involves a development of explicit large deviation estimates to the case of random variables taking values in selfadjoint operators on a Hilbert space. This theory is presented separately in an appendix, and we illustrate it by showing its application to quantum generalizations of classical hypergraph covering problems.

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R. Ahlswede, A. Winter. 2001-10-22. Strong Converse for Identification via Quantum Channels. https://arxiv.org/abs/quant-ph/0012127

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