A decoupling approach to classical data transmission over quantum channels
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2012
- DOI:
- 10.48550/arXiv.1207.0067
- arXiv:
- arXiv:1207.0067
- Bibcode:
- 2012arXiv1207.0067D
- Keywords:
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- Quantum Physics
- E-Print:
- IEEE Trans. on Inf. Theory 60 (3), p. 1562-1572 (2014)