Quantum coding theorem from privacy and distinguishability

Physics – Quantum Physics

Scientific paper

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Presented at the NATO ARW "Quantum Communication and Security", 10-13 September 2006, Gdansk, Poland; final version to appear

Scientific paper

We prove direct quantum coding theorem for random quantum codes. The problem
is separated into two parts: proof of distinguishability of codewords by
receiver, and that of indistinguishability of codewords by environment
(privacy). For a large class of codes, only privacy has to be checked.

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