Reliability function of general classical-quantum channel

Author

Holevo, A.S.

Author_Institution

Inst. for Math. Phys., Tech. Univ. Braunschweig, Germany

Volume

46

Issue

6

fYear

2000

fDate

9/1/2000 12:00:00 AM

Firstpage

2256

Lastpage

2261

Abstract

In information theory, the reliability function and its bounds, describing the exponential behavior of the error probability, are important quantitative characteristics of the channel performance. From a more general point of view, these bounds provide certain measures of distinguishability of a given set of classical states. In a previous paper, quantum analogs of the random coding and expurgation lower bounds for the case of pure signal states were introduced. Here we discuss the case of general quantum states, in particular, we prove the expurgation bound conjectured previously and find the quantum cutoff rate for arbitrary mixed signal states

Keywords

error statistics; quantum communication; random codes; telecommunication channels; telecommunication network reliability; arbitrary mixed signal states; error probability; exponential behavior; expurgation lower bounds; general classical-quantum channel; general quantum states; information theory; quantum analogs; quantum cutoff rate; random coding; reliability function; Convergence; Error probability; Hilbert space; Information theory; Physics computing; Quantum mechanics; Reliability theory; Tensile stress; Upper bound;

fLanguage

English

Journal_Title

Information Theory, IEEE Transactions on

Publisher

ieee

ISSN

0018-9448

Type

jour

DOI

10.1109/18.868501

Filename

868501