The classical capacity achievable by a quantum channel assisted by limited entanglement

Details The classical capacity achievable by a quantum channel assisted by limited entanglement The classical capacity achievable by a quantum channel assisted by limited entanglement

2004-02-18

arxiv.org/abs/quant-ph/0402129v1

Physics

Quantum Physics

9 pages, to appear in the Festschrift celebrating Alexander S. Holevo's 60'th birthday

Scientific paper

We give the trade-off curve showing the capacity of a quantum channel as a function of the amount of entanglement used by the sender and receiver for transmitting information. The endpoints of this curve are given by the Holevo-Schumacher-Westmoreland capacity formula and the entanglement-assisted capacity, which is the maximum over all input density matrices of the quantum mutual information. The proof we give is based on the Holevo-Schumacher-Westmoreland formula, and also gives a new and simpler proof for the entanglement-assisted capacity formula.

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