The quantum capacity of channels with arbitrarily correlated noise

Details The quantum capacity of channels with arbitrarily correlated noise The quantum capacity of channels with arbitrarily correlated noise

2009-02-02

arxiv.org/abs/0902.0158v5

IEEE Trans. Inf. Th. Vol. 56, Issue 3, 1447-1460 (2010)

Physics

Quantum Physics

15 pages, two columns. Final improved version - to appear in IEEE

Scientific paper

10.1109/TIT.2009.2039166

We study optimal rates for quantum communication over a single use of a channel, which itself can correspond to a finite number of uses of a channel with arbitrarily correlated noise. The corresponding capacity is often referred to as the one-shot quantum capacity. In this paper, we prove bounds on the one-shot quantum capacity of an arbitrary channel. This allows us to compute the quantum capacity of a channel with arbitrarily correlated noise, in the limit of asymptotically many uses of the channel. In the memoryless case, we explicitly show that our results reduce to known expressions for the quantum capacity.

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