One-Shot Classical-Quantum Capacity and Hypothesis Testing

Details One-Shot Classical-Quantum Capacity and Hypothesis Testing One-Shot Classical-Quantum Capacity and Hypothesis Testing

2010-07-30

arxiv.org/abs/1007.5456v1

Physics

Quantum Physics

Scientific paper

The one-shot classical capacity of a quantum channel quantifies the amount of classical information that can be transmitted through a single use of the channel such that the error probability is below a certain threshold. In this work, we show that this capacity is well approximated by a relative-entropy-type measure defined via hypothesis testing. Combined with a quantum version of Stein's Lemma, our results give a conceptually simple proof of the well-known Holevo-Schumacher-Westmoreland Theorem for the capacity of memoryless channels. They also give general capacity formulas for arbitrary channels.

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