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. © 2010 IEEE.
Publication Source (Journal or Book title)
IEEE International Symposium on Information Theory - Proceedings
Wilde, M., & Hsieh, M. (2010). Entanglement generation with a quantum channel and a shared state. IEEE International Symposium on Information Theory - Proceedings, 2713-2717. https://doi.org/10.1109/ISIT.2010.5513540