Universality of optimal measurements

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 60, Issue 5, 1999, Pages R3339-R3342

  Tarrach, Rolf ^a   Vidal, Guifré ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001537788     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.R3339     Document Type: Article

References (19)

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4. G. Vidal et al, Phys. Rev. A 60, 126 (1999).
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9. R. Josza, J. Mod. Opt. 41, 2315 (1994).
10. Furthermore, and due to the symmetry in the i and (Formula presented) distributions of Bayes’ formula, Eq. (6), the expressions in Eqs. (8) and (9) are also equal to the corresponding expressions for which f and (Formula presented) have been traded for (Formula presented) and P.
11. A. Peres and W.K. Wootters, Phys. Rev. Lett. 66, 1119 (1991).
12. Holevo 1 presented examples of the universal character of optimal measurements in the context of phase estimation, and related universality to convexity properties of the figures of merits (as in our theorem).
13. S. Kullback and R.A. Leibler, Ann. Math. Stat. 22, 78 (1951)
14. S. Kullback, Information Theory and Statistics (Wiley, New York, 1959).
15. A. Hobson, J. Stat. Phys. 1, 383 (1969).
16. E.B. Davies, IEEE Trans. Inf. Theory IT-24, 596 (1978).
17. We have also been able to check, for an arbitrary number N of copies of the unknown state, that the optimal measurements according to the fidelity (as presented in 4) are at least locally optimal (that is, better than any other measurement that follows from infinitesimally perturbing the former) for the Kullback information.
18. L.B. Levitin (unpublished)
19. A.S. Holevo, Probl. Inf. Transm. 9, 177 (1973).