Dennis Kretschmann and Reinhard F Werner 2004 New J. Phys. 6 26 doi:10.1088/1367-2630/6/1/026
Dennis Kretschmann and Reinhard F Werner
Show affiliationsChannel 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.
03.67.Pp Quantum error correction and other methods for protection against decoherence
84.40.Ua Telecommunications: signal transmission and processing; communication satellites
Issue 1 (February 2004)
Received 11 November 2003
Published 23 February 2004
Dennis Kretschmann and Reinhard F Werner 2004 New J. Phys. 6 26
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