Quantum coding theorem from privacy and distinguishability

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

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