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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Tema con variazioni: quantum channel capacity

Dennis Kretschmann and Reinhard F Werner

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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.


PACS

03.67.Pp Quantum error correction and other methods for protection against decoherence

84.40.Ua Telecommunications: signal transmission and processing; communication satellites

03.65.-w Quantum mechanics

Subjects

Computational physics

Electronics and devices

Quantum information and quantum mechanics

Dates

Issue 1 (February 2004)

Received 11 November 2003

Published 23 February 2004



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