Optimal distillation of a Greenberger-Horne-Zeilinger state

Physical Review Letters

Volumn 85, Issue 22, 2000, Pages 4811-4814

  Acin A ^a   Jane E ^a   Dur W ^b   Vidal, G ^b  

^a UNIVERSITY OF BARCELONA   (Spain)

^b UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; OPTIMIZATION; POLYNOMIALS; PROBABILITY;

GREENBERGER-HORNE-ZEILINGER STATE; OPTIMAL DISTILLATION PROTOCOL; POSITIVE OPERATOR VALUED MEASUREMENT; THREE QUBIT SYSTEM; TRIPARTITE PURE STATE ENTANGLEMENT;

QUANTUM THEORY;

EID: 0040216499     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.85.4811     Document Type: Article

References (17)

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12. See [1] for details on how this kind of POVMs can be implemented.
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14. G. Vidal, J. Mod. Opt. 47, 355 (2000).
15. i〉 have been orthonormalized, and it does not affect the probability of a successful distillation.
16. -1}.
17. 1 with probability 1/2. If the outcome corresponds to operator R, then a new two-outcome, balanced POVM can be applied, which with probability 1/2 will give one of the originally wished outcomes and with probability 1/2 will require a next POVM. The whole series of balanced POVMs can easily be seen to converge towards the original unbalanced POVM.