Strong Converse for Identification via Quantum Channels

Details Strong Converse for Identification via Quantum Channels Strong Converse for Identification via Quantum Channels

2000-12-22

arxiv.org/abs/quant-ph/0012127v2

IEEE Trans. Inf. Theory 48(3) :569--579, 2002. Addendum ibid 49(1):346, 2003.

Physics

Quantum Physics

11 pages, LaTeX2e, requires IEEEtran2e.cls. Some errors and omissions corrected, references updated

Scientific paper

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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