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Entanglement distillation : ウィキペディア英語版
Entanglement distillation
Entanglement distillation is the transformation of N copies of an arbitrary entangled state \rho into some number of approximately pure Bell pairs, using only local operations and classical communication (LOCC). Entanglement distillation can in this way overcome the degenerative influence of noisy quantum channels by transforming previously shared less entangled pairs into a smaller number of maximally entangled pairs (Bell states).
==History==

The limits for entanglement dilution and distillation are due to Bennett, Bernstein, Popescu and Schumacher.〔Bennett, Charles H.; Bernstein, Herbert J.; Popescu, Sandu; Schumacher, Benjamin (1996), "Concentrating Partial Entanglement by Local Operations", Phys. Rev. A 53: 2046-2052 .〕 Entanglement distillation protocols for pure states were originally presented in a paper by C. H. Bennett, H. Bernstein, S. Popescu, and B. Schumacher〔 while Entanglement distillation protocols for mixed states were introduced by Bennett, Brassard, Popescu, Schumacher, Smolin and Wootters 〔Bennett, Charles H.; Brassard, Gilles; Popescu, Sandu; Schumacher, Benjamin; Smolin, John A.; Wooters, William K. (1996), "Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels", Phys. Rev. Lett. 76: 722-725 .〕 in a paper later that year in the same journal. Bennett, DiVincenzo, Smolin and Wootters 〔Bennett, Charles H.; DiVincenzo, David P.; Smolin, John A.; Wooters, William K. (1996), "Mixed State Entanglement and Quantum Error Correction", Phys. Rev. A 54: 3824-3851 .〕 established the connection to quantum error-correction in a ground-breaking paper published in August 1996 also in the journal of Physical Review, which has stimulated a lot of subsequent research.

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