Entanglement between Two Uses of a Noisy Multipartite Quantum Channel Enables Perfect Transmission of Classical Information

Abstract

Suppose that $m$ senders want to transmit classical information to $n$ receivers with zero probability of error using a noisy multipartite communication channel. The senders are allowed to exchange classical, but not quantum, messages among themselves, and the same holds for the receivers. If the channel is classical, a single use can transmit information if and only if multiple uses can. In sharp contrast, we exhibit, for each $m$ and $n$ with $m\ge 2$ or $n\ge 2$, a quantum channel of which a single use is not able to transmit information yet two uses can. This latter property requires and is enabled by quantum entanglement.

arXiv comment5 pages (actually 4 pages and a bit more, in Revtex 4), 1 eps. Comments are welcome. Don't miss a related work arXiv:0712.3628

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• Superactivation of the Asymptotic Zero-Error Classical Capacity of a Quantum Channel
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• Separation between quantum Lovász number and entanglement-assisted zero-error classical capacity
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• On the One-Shot Zero-Error Classical Capacity of Classical-Quantum Channels Assisted by Quantum Non-signalling Correlations