### Reliability of classical and classical-quantum channels

Dalai, M *(Università degli Studi di Brescia)*

Friday 18 October 2013, 14:00-15:00

Seminar Room 1, Newton Institute

#### Abstract

The performance of a channel is usually measured in terms of its capacity C, intended as the largest rate achievable by block codes with probability of error which vanishes in the block-length. For rates R<C, the probability of error for optimal codes decreases exponentially fast with the block-length, and a more detailed measure of the performance of the channel is the so called reliability function E(R), the first order exponent of this error.Determining E(R) exactly is an unsolved problem in general; it includes as a sub-problem, for example, the determination of the zero-error capacity (also called Shannon capacity of a graph). In this talk, we discuss bounds to E(R) for classical and classical-quantum channels and presents some connections between those bounds and the Lovasz theta function.

#### Presentation

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