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Phys. Rev. Lett. 76, 722–725 (1996)

Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels

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Charles H. Bennett1, Gilles Brassard2, Sandu Popescu3, Benjamin Schumacher4, John A. Smolin5, and William K. Wootters6
1IBM Research Division, Yorktown Heights, New York 10598
2Département IRO, Université de Montréal, C.P. 6128, Succursale centre-ville, Montréal, Québec, Canada H3C 3J7
3Physics Department, Tel Aviv University, Tel Aviv, Israel
4Physics Department, Kenyon College, Gambier, Ohio 43022
5Physics Department, University of California at Los Angeles, Los Angeles, California 90024
6Physics Department, Williams College, Williamstown, Massachusetts 01267

See Also: Erratum

Received 24 April 1995; published in the issue dated 29 January 1996

Two separated observers, by applying local operations to a supply of not-too-impure entangled states (e.g., singlets shared through a noisy channel), can prepare a smaller number of entangled pairs of arbitrarily high purity (e.g., near-perfect singlets). These can then be used to faithfully teleport unknown quantum states from one observer to the other, thereby achieving faithful transmission of quantum information through a noisy channel. We give upper and lower bounds on the yield D(M) of pure singlets (|Ψ-) distillable from mixed states M, showing D(M)>0 if Ψ-|M|Ψ->1/2.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.76.722
DOI:
10.1103/PhysRevLett.76.722
PACS:
03.65.Bz, 42.50.Dv, 89.70.+c

See Also

Erratum: Charles H. Bennett, Gilles Brassard, Sandu Popescu, Benjamin Schumacher, John A. Smolin, and William K. Wootters, Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels[Phys. Rev. Lett. 76, 722 (1996)], Phys. Rev. Lett. 78, 2031 (1997).