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 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.
|Translated title of the contribution||Strong converse for identification via quantum channels|
|Pages (from-to)||569 - 579|
|Number of pages||11|
|Journal||IEEE Transactions on Information Theory|
|Publication status||Published - Mar 2002|
Bibliographical notePublisher: Institute of Electrical and Electronic Engineers
Other identifier: IDS Number: 523RD