Concavity of the auxiliary function appearing in quantum reliability function

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 a...

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Bibliographic Details
Published in:IEEE transactions on information theory 2006-07, Vol.52 (7), p.3310-3313
Main Authors: Jun Ichi Fujii, Nakamoto, R., Yanagi, K.
Format: Article
Language:English
Subjects:
Asymptotic properties
Australia
Capacity planning
Channel coding
Channels
Cities and towns
Concavity
Error probability
Errors
Information theory
Lower bounds
Probability distribution
Proving
Quantum information theory
Quantum mechanics
quantum reliability function
random coding exponent
Reliability theory
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Summary: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.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2006.876248