Entanglement-Assisted Classical Capacity of Noisy Quantum Channels

Details Entanglement-Assisted Classical Capacity of Noisy Quantum Channels Entanglement-Assisted Classical Capacity of Noisy Quantum Channels

1999-04-06

arxiv.org/abs/quant-ph/9904023v5

Phys.Rev.Lett.83:3081,1999

Physics

Quantum Physics

4 pages including 3 figures. Eq 4 restored to be an equality, not merely the lower bound claimed in v4; reference added; one f

Scientific paper

10.1103/PhysRevLett.83.3081

Prior entanglement between sender and receiver, which exactly doubles the classical capacity of a noiseless quantum channel, can increase the classical capacity of some noisy quantum channels by an arbitrarily large constant factor depending on the channel, relative to the best known classical capacity achievable without entanglement. The enhancement factor is greatest for very noisy channels, with positive classical capacity but zero quantum capacity. Although such quantum channels can be simulated classically, no violation of causality is implied, because the simulation requires at least as much forward classical communication as the entanglement-assisted classical capacity of the channel being simulated. We obtain exact expressions for the entanglement-assisted capacity of depolarizing and erasure channels in d dimensions.

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