Strong converse for identification via quantum channels

作者：Rudolf Ahlswede, Andreas J. Winter · 发表于：IEEE Transactions on Information Theory · 年份：2002 · DOI：10.1109/18.985947 · 被引用次数：443 · 研究领域：Quantum Information and Cryptography、Quantum Mechanics and Applications、Wireless Communication Security Techniques

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 (1979, 1992) approach to classical channels. It involves a development of explicit large deviation estimates to the case of random variables taking values in self-adjoint 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.