A decoupling approach to classical data transmission over quantum channels

Publication Type:
Journal Article
Citation:
IEEE Transactions on Information Theory, 2014, 60 (3), pp. 1562 - 1572
Issue Date:
2014-01-01
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Most coding theorems in quantum Shannon theory can be proven using the decoupling technique. To send data through a channel, one guarantees that the environment gets no information about it. Uhlmann's theorem then ensures that the receiver must be able to decode. While a wide range of problems can be solved this way, one of the most basic coding problems remains impervious to a direct application of this method, sending classical information through a quantum channel. We will show that this problem can, in fact, be solved using decoupling ideas, specifically by proving a dequantizing theorem, which ensures that the environment is only classically correlated with the sent data. Our techniques naturally yield a generalization of the Holevo-Schumacher- Westmoreland theorem to the one-shot scenario, where a quantum channel can be applied only once. © 1963-2012 IEEE.
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