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A Decoupling Approach to Classical Data Transmission Over Quantum Channels

IEEE Transactions on Information Theory, Institute of Electrical and Electronics Engineers (IEEE), ISSN 0018-9448

Volume 60, 3, 2014

DOI:10.1109/tit.2013.2295330, Dimensions: pub.1061654761,

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  1. (1) Aarhus University, grid.7048.b, AU
  2. (2) ETH Zïrich, , Zïrich, , Switzerland, , 8093,
  3. (3) Technical University of Munich, grid.6936.a
  4. (4) National University of Singapore, grid.4280.e

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Description

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.

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Times Cited: 10

Field Citation Ratio (FCR): 3.56

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Green, Published