Coding Theorems for Quantum Channels

Details Coding Theorems for Quantum Channels Coding Theorems for Quantum Channels

1998-09-10

arxiv.org/abs/quant-ph/9809023v1

Physics

Quantum Physics

41 pages, Latex, eps figure. Extended version of report appeared in "Tamagawa University Research Review", no. 4, 1998

Scientific paper

The more than thirty years old issue of the (classical) information capacity of quantum communication channels was dramatically clarified during the last years, when a number of direct quantum coding theorems was discovered. The present paper gives a self contained treatment of the subject, following as much in parallel as possible with classical information theory and, on the other side, stressing profound differences of the quantum case. An emphasis is made on recent results, such as general quantum coding theorems including cases of infinite (possibly continuous) alphabets and constrained inputs, reliability function for pure state channels and quantum Gaussian channel. Several still unsolved problems are briefly outlined.

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