QSI seminar series: Mr Christopher Chubb - University of Sydney

Title: Moderate deviation analysis for classical communication over quantum channels

Abstract: We analyse families of codes for classical data transmission over quantum channels that have both a vanishing probability of error and a code rate approaching capacity as the code length increases. We derive such a tradeoff for classical-quantum (as well as image-additive) channels in terms of the channel capacity and the channel dispersion, giving further evidence that the latter quantity characterises the necessary backoff from capacity when transmitting finite blocks of classical data. To derive these results we also study asymmetric binary quantum hypothesis testing in the moderate deviations regime. For the full paper see arXiv:1701.03114 (see also similar work arXiv:1701.03195).

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