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General formulas for capacity of classical-quantum channels

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2 Author(s)
Hayashi, M. ; Lab. for Math. Neurosci., Brain Sci. Inst., Saitama, Japan ; Nagaoka, H.

The capacity of a classical-quantum channel (or, in other words, the classical capacity of a quantum channel) is considered in the most general setting, where no structural assumptions such as the stationary memoryless property are made on a channel. A capacity formula as well as a characterization of the strong converse property is given just in parallel with the corresponding classical results of Verdu-Han (1994) which are based on the so-called information-spectrum method. The general results are applied to the stationary memoryless case with or without cost constraint on inputs, whereby a deep relation between the channel coding theory and the hypothesis testing for two quantum states is elucidated.

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Information Theory, IEEE Transactions on  (Volume:49 ,  Issue: 7 )