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Quantum coding theorem from privacy and distinguishability

Michal Horodecki·Seth Lloyd·Andreas Winter
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Abstract

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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Michal Horodecki, Seth Lloyd, Andreas Winter. 2008-01-19. Quantum coding theorem from privacy and distinguishability. https://arxiv.org/abs/quant-ph/0702006

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