Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel

Details Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel

2009-06-15

arxiv.org/abs/0906.2547v3

IEEE Trans. Inf. Th., vol. 57, no. 12, pp. 8114-8126, Dec 2011

Physics

Quantum Physics

24 pages. Despite the similar title, contains different results from arXiv:0906.2527. See "Note Added" at end of paper for det

Scientific paper

10.1109/TIT.2011.2169109

The zero-error classical capacity of a quantum channel is the asymptotic rate at which it can be used to send classical bits perfectly, so that they can be decoded with zero probability of error. We show that there exist pairs of quantum channels, neither of which individually have any zero-error capacity whatsoever (even if arbitrarily many uses of the channels are available), but such that access to even a single copy of both channels allows classical information to be sent perfectly reliably. In other words, we prove that the zero-error classical capacity can be superactivated. This result is the first example of superactivation of a classical capacity of a quantum channel.

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