Reliability function of general classical-quantum channel

Details Reliability function of general classical-quantum channel Reliability function of general classical-quantum channel

1999-07-27

arxiv.org/abs/quant-ph/9907087v2

Physics

Quantum Physics

15 pages, partially reported at the Workshop on Complexity, Computation and Physics of Information, Cambridge, July 5-23, 1999

Scientific paper

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

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