Tema Con Variazioni: Quantum Channel Capacity

Details Tema Con Variazioni: Quantum Channel Capacity Tema Con Variazioni: Quantum Channel Capacity

2003-11-06

arxiv.org/abs/quant-ph/0311037v1

Physics

Quantum Physics

32 pages, uses iopart.cls

Scientific paper

10.1088/1367-2630/6/1/026

Channel capacity describes the size of the nearly ideal channels, which can be obtained from many uses of a given channel, using an optimal error correcting code. In this paper we collect and compare minor and major variations in the mathematically precise statements of this idea which have been put forward in the literature. We show that all the variations considered lead to equivalent capacity definitions. In particular, it makes no difference whether one requires mean or maximal errors to go to zero, and it makes no difference whether errors are required to vanish for any sequence of block sizes compatible with the rate, or only for one infinite sequence.

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