TY - JOUR
T1 - Strong converse for identification via quantum channels
AU - Ahlswede, Rudolf
AU - Winter, Andreas
N1 - Funding Information:
Manuscript received February 5, 2001; revised October 19, 2001. The work of A. Winter was supported in part by SFB 343 “Diskrete Strukturen in der Mathematik” of the Deutsche Forschungsgemeinschaft. R. Ahlswede is with Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany (e-mail: [email protected]). A. Winter is with the Department of Computer Science, University of Bristol, Bristol BS8 1UB, U.K. (e-mail: [email protected]). Communicated by P. W. Shor, Associate Editor for Quantum Information Theory. Publisher Item Identifier S 0018-9448(02)01059-3.
PY - 2002/3
Y1 - 2002/3
N2 - 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.
AB - 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.
KW - Covering hypergraphs
KW - Identification
KW - Large deviations
KW - Quantum channels
UR - https://www.scopus.com/pages/publications/0036495139
U2 - 10.1109/18.985947
DO - 10.1109/18.985947
M3 - Article
AN - SCOPUS:0036495139
SN - 0018-9448
VL - 48
SP - 569
EP - 579
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 3
ER -