Optimal full estimation of qubit mixed states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 3, 2006, Pages

  Bagan, E ^a   Ballester, M A ^b   Gill, R D ^b,c   Monras, A ^a   Munoz Tapia R ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b UTRECHT UNIVERSITY   (Netherlands)

^c EURANDOM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

HEURISTIC ARGUMENTS; OPTIMAL FULL ESTIMATION; OPTIMAL MEASUREMENT; QUBIT MIXED STATES;

ASYMPTOTIC STABILITY; HEURISTIC METHODS; MEASUREMENT THEORY; PARAMETER ESTIMATION; PROBABILITY;

OPTIMAL SYSTEMS;

EID: 33644658803     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.032301     Document Type: Article

References (41)

1. A. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland Publishing, Amsterdam, 1982).
2. K. R. Jones, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.50.3682 50, 3682 (1994);
3. S. Massar and S. Popescu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.1259 74, 1259 (1995);
4. Z. Hradil, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.R1561 55, R1561 (1997);
5. J. I. Latorre, P. Pascual, and R. Tarrach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1351 81, 1351 (1998);
6. D. G. Fisher, S. H. Kienle, and M. Freyberger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.032306 61, 032306 (2000);
7. Th. Hannemann, D. Reiss, Ch. Balzer, W. Neuhauser, P. E. Toschek, and Ch. Wunderlich, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.050303 65, 050303 (2002);
8. E. Bagan, M. Baig, and R. Munoz-Tapia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.277904 89, 277904 (2002);
9. F. Embacher and H. Narnhofer, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2003.12.002 311, 220 (2004);
10. E. Bagan, A. Monras, and R. Munoz-Tapia, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.062318 71, 062318 (2005).
11. R. D. Gill and S. Massar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.042312 61, 042312 (2000).
12. J. I. Cirac, A. K. Ekert, and C. Macchiavello, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4344 82, 4344 (1999).
13. G. Vidal, J. I. Latorre, P. Pascual, and R. Tarrach, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.60.126 60, 126 (1999).
14. D. G. Fischer and M. Freyberger, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00513-2 273, 293 (2000);
15. H. Mack, D. G. Fischer, and M. Freyberger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.042301 62, 042301 (2000).
16. M. Keyl and R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.052311 64, 052311 (2001).
17. E. Bagan, M. Baig, R. Munoz-Tapia, and A. Rodriguez, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.010304 69, 010304 (2004).
18. K. Zyczkowski and H. J. Sommers, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032313 71, 032313 (2005).
19. D. Petz and C. Sudar, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.531535 37, 2662 (1996).
20. K. Zyczkowski and H. J. Sommers, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/35/335 34, 7111 (2001);
21. K. Zyczkowski and H. J. Sommers, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/35/004 37, 8457 (2004).
22. K. Matsumoto and M. Hayashi, e-print quant-ph/0411073.
23. K. Matsumoto, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/13/307 35, 3111 (2002).
24. M. Hübner, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(92)91004-B 163, 239 (1992);
25. R. Josza, J. Mod. Opt. JMOPEW 0950-0340 41, 2315 (1994).
26. C. A. Fuchs, Ph.D. Dissertation, University of New Mexico, (1995) (unpublished);
27. e-print quant-ph/9601020.
28. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, 1960).
29. E. Bagan, M. Baig, and R. Munoz-Tapia, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.022305 64, 022305 (2001);
30. E. Bagan, M. Baig, and R. Munoz-Tapia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.257903 87, 257903 (2001).
31. E. Bagan, M. A. Ballester, R. Munoz-Tapia, and O. Romero-Isart, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.110504 95, 110504 (2005);
32. e-print quant-ph/0505083.
33. R. D. Gill, e-print math.ST/0512443.
34. R. D. Gill and B. Y. Levit, Bernoulli 1350-7265 1, 59 (1995).
35. S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.3439 72, 3439 (1994).
36. P. J. Bickel and K. A. Doksum, Mathematical Statistics. Basic Ideas and Selected Topics (Prentice-Hall, Englewood Cliffs, NJ, 2001).
37. E. Bagan, M. Ballester, R. D. Gill, A. Monras, O. Romero-Isart, and R. Munoz-Tapia, Proceedings of the Erato Conference EQIS05, Tokyo, Japan (JST, Tokyo, 2005).
38. O. Romero-Isart, E. Bagan, M. A. Ballester, R. D. Gill, and R. Munoz-Tapia, e-print quant-ph/0512177.
39. S. Eidelman, Phys. Lett. B PYLBAJ 0370-2693 10.1016/j.physletb.2004.06.001 592, 1 (2004).
40. M. Hamermesh, Group Theory and its Applications to Physical Problems (Addison-Wesley, Reading, MA, 1962).
41. M. Hayashi (unpublished).