Additive Extensions of a Quantum Channel

Details Additive Extensions of a Quantum Channel Additive Extensions of a Quantum Channel

2007-12-14

arxiv.org/abs/0712.2471v1

Proceedings of the IEEE Information Theory Workshop 2008. pp 368-372

Physics

Quantum Physics

6 pages, one figure

Scientific paper

10.1109/ITW.2008.4578688

We study extensions of a quantum channel whose one-way capacities are described by a single-letter formula. This provides a simple technique for generating powerful upper bounds on the capacities of a general quantum channel. We apply this technique to two qubit channels of particular interest--the depolarizing channel and the channel with independent phase and amplitude noise. Our study of the latter demonstrates that the key rate of BB84 with one-way post-processing and quantum bit error rate q cannot exceed H(1/2-2q(1-q)) - H(2q(1-q)).

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