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arXiv · 0904.1175

Entanglement generation with a quantum channel and a shared state

Mark M. Wilde·Min-Hsiu Hsieh
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Abstract

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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Mark M. Wilde, Min-Hsiu Hsieh. 2010-04-07. Entanglement generation with a quantum channel and a shared state. https://doi.org/10.1109/isit.2010.5513540

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