Concavity of the auxiliary function appearing in quantum reliability function

Creators Fujii Jun Ichi

Creators Nakamoto Ritsuo

Creators Yanagi Kenjiro

Reliability functions characterize the asymptotic behavior of the error probability for transmission of data on a channel. Holevo introduced the quantum channel, and gave an expression for a random-coding lower bound involving an auxiliary function. Holevo, Ogawa, and Nagaoka conjectured that this auxiliary function is concave. Here we give a proof of this conjecture.

Copyright c2006 IEEE. Reprinted from IEEE Transactions on Information Theory, vol 52, no 7, 2006, p. 3310- 3313. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Yamaguchi University Library's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org.()

[ISSN]0018-9448

[NCID]AA00667911

info:doi/10.1109/TIT.2006.876248

[isVersionOf] [URI]http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18