DocumentCode
1014407
Title
Concavity of the auxiliary function appearing in quantum reliability function
Author
Fujii, Jun Ichi ; Nakamoto, Ritsuo ; Yanagi, Kenjiro
Author_Institution
Dept. of Arts & Sci., Osaka Kyoiku Univ., Japan
Volume
52
Issue
7
fYear
2006
fDate
7/1/2006 12:00:00 AM
Firstpage
3310
Lastpage
3313
Abstract
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.
Keywords
channel coding; error statistics; quantum communication; random codes; reliability theory; auxiliary function concavity; channel coding; data transmission; error probability; quantum reliability function; random-coding; Art; Australia; Capacity planning; Channel coding; Cities and towns; Error probability; Information theory; Probability distribution; Quantum mechanics; Reliability theory; Quantum information theory; quantum reliability function; random coding exponent;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2006.876248
Filename
1650375
Link To Document