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Phys. Rev. A 60, 167–172 (1999)

Optimization approach to entanglement distillation

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T. Opatrný1,2 and G. Kurizki1
1Department of Chemical Physics, Weizmann Institute of Science, 761 00 Rehovot, Israel
2Department of Theoretical Physics, Palacký University, Svobody 26, 771 46 Olomouc, Czech Republic

Received 30 November 1998; revised 8 February 1999; published in the issue dated July 1999

We put forward a method for optimized distillation of partly entangled pairs of quantum bits into a smaller number of more entangled pairs by recurrent local unitary operations and projections. Optimized distillation is achieved by minimization of a cost function with up to 30 real parameters, which is chosen to be sensitive to the fidelity and the projection probability at each step. We show that in many cases this approach can significantly improve the distillation efficiency in comparison to the present methods.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.60.167
DOI:
10.1103/PhysRevA.60.167
PACS:
03.67.-a, 32.80.Qk, 42.50.Vk, 89.70.+c