Entanglement generation with a quantum channel and a shared state

Details Entanglement generation with a quantum channel and a shared state Entanglement generation with a quantum channel and a shared state

2009-04-07

arxiv.org/abs/0904.1175v2

Proceedings of the 2010 IEEE International Symposium on Information Theory, pp. 2713-2717, Austin, Texas, USA

Physics

Quantum Physics

5 pages, 3 figures

Scientific paper

10.1109/ISIT.2010.5513540

We introduce a new protocol, the channel-state coding protocol, to quantum Shannon theory. This protocol generates entanglement between a sender and receiver by coding for a noisy quantum channel with the aid of a noisy shared state. The mother and father protocols arise as special cases of the channel-state coding protocol, where the channel is noiseless or the state is a noiseless maximally entangled state, respectively. The channel-state coding protocol paves the way for formulating entanglement-assisted quantum error-correcting codes that are robust to noise in shared entanglement. Finally, the channel-state coding protocol leads to a Smith-Yard superactivation, where we can generate entanglement using a zero-capacity erasure channel and a non-distillable bound entangled state.

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