Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels

Phys. Rev. Lett. 76, 722 – Published 29 January 1996
Charles H. Bennett, Gilles Brassard, Sandu Popescu, Benjamin Schumacher, John A. Smolin, and William K. Wootters

Abstract

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 DM of pure singlets (|Ψ-) distillable from mixed states M, showing DM>0 if Ψ-|M|Ψ->12.

DOI: http://dx.doi.org/10.1103/PhysRevLett.76.722

  • Received 24 April 1995
  • Published in the issue dated 29 January 1996

© 1996 The American Physical Society

Authors & Affiliations

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

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