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Quantum coding theorem from privacy and distinguishability

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arxiv quant-ph/0702006 v2 pith:RPHIDI6D submitted 2007-01-31 quant-ph

Quantum coding theorem from privacy and distinguishability

classification quant-ph
keywords privacyquantumcodescodewordscodingdistinguishabilitytheoremchecked
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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