Can non-private channels transmit quantum information?

Details Can non-private channels transmit quantum information? Can non-private channels transmit quantum information?

2008-10-01

arxiv.org/abs/0810.0276v2

Phys. Rev. Lett. 102, 010501 (2009)

Physics

Quantum Physics

We both think so. 4 pages and 3 figures explain why

Scientific paper

10.1103/PhysRevLett.102.010501

We study the power of quantum channels with little or no capacity for private communication. Because privacy is a necessary condition for quantum communication, one might expect that such channels would be of little use for transmitting quantum states. Nevertheless, we find strong evidence that there are pairs of such channels that, when used together, can transmit far more quantum information than the sum of their individual private capacities. Because quantum transmissions are necessarily private, this would imply a large violation of additivity for the private capacity. Specifically, we present channels which display either (1) A large joint quantum capacity but very small individual private capacities or (2) a severe violation of additivity for the Holevo information.

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