Comprehensive analysis of quantum pure-state estimation for two-level systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 71, Issue 6, 2005, Pages

  Bagan, E ^a   Monras, A ^a   Munoz Tapia R ^a  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BAYESIAN FRAMEWORK; BLOCH SPHERE; PURE-STATE ESTIMATION; QUANTUM PURE-STATE ESTIMATION;

ELECTRON ENERGY LEVELS; ESTIMATION;

QUANTUM THEORY;

EID: 26944444628     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.71.062318     Document Type: Article

References (60)

1. C. M. Caves, C. A. Fuchs and P. Rungta, Found. Phys. Lett. FPLEET 0894-9875 10.1023/A:1012215309321 14, 199 (2001);
2. J. Batle, Opt. Spectrosc. OPSUA3 0030-400X 10.1134/1.1576838 94, 700 (2003).
3. A. Peres and W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.1119 66, 1119 (1991).
4. S. Massar and S. Popescu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.1259 74, 1259 (1995).
5. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory (North-Holland, Amsterdam, 1982).
6. C. W. Helstrom, Quantum Detection and Estimation Theory (Academic Press, New York, 1976).
7. Quantum State Estimation, edited by, M. Paris, and, J. Rehácek, Lecture Notes in Physics Vol. 649 (Springer, Berlin, 2004).
8. S. L. Braunstein and H. J. Kimble, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.042302 61, 042302 (2000).
9. R. Derka, V. Buzek, and A. K. Ekert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1571 80, 1571 (1998).
10. J. I. Latorre, P. Pascual, and R. Tarrach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.1351 81, 1351 (1998);
11. S. Iblisdir and J. Roland, e-print quant-ph/0410237.
12. N. Gisin and S. Popescu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.432 83, 432 (1999);
13. S. Massar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.040101 62, 040101 (2000).
14. E. Bagan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.5230 85, 5230 (2000);
15. E. Bagan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.052309 63, 052309 (2001);
16. E. Bagan, M. Baig, and R. Munoz-Tapia, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.022305 64, 022305 (2001).
17. A. Peres and P. F. Scudo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4160 86, 4160 (2001).
18. A. Acin, E. Jane, and G. Vidal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.050302 64, 050302 (R) (2001);
19. E. Jane, Ph.D. thesis, University of Barcelona, Barcelon, 2002 (unpublished).
20. E. Bagan, M. Baig, and R. Munoz-Tapia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.257903 87, 257903 (2001);
21. E. Bagan, M. Baig, and R. Munoz-Tapia, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.050303 69, 050303 (2004).
22. E. Bagan, M. Baig, and R. Munoz-Tapia, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.030301 70, 030301 (2004).
23. A. Peres and P. F. Scudo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.167901 87, 167901 (2001);
24. A. Peres and P. F. Scudo, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500340110118449 49, 1235 (2002);
25. N. H. Lindner, A. Peres, and D. R. Terno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.042308 68, 042308 (2003).
26. S. D. Bartlett, T. Rudolph, and R. W. Spekkens, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.027901 91, 027901 (2003).
27. K. R. Jones, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.50.3682 50, 3682 (1994).
28. R. D. Gill and S. Massar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.042312 61, 042312 (2000).
29. D. G. Fischer, S. H. Kienle, and M. Freyberger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.032306 61, 032306 (2000).
30. Th. Hannemann, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.050303 65, 050303 (2002).
31. E. Bagan, M. Baig, and R. Munoz-Tapia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.277904 89, 277904 (2002).
32. E. Bagan, M. Baig, R. Munoz-Tapia, and A. Rodriguez, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.010304 69, 010304 (2004).
33. F. Embacher and H. Narnhofer, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2003.12.002 311, 220 (2004).
34. M. Hayashi, in Quantum Communication, Computing and Measurement, edited by, O. Hirota, A. S. Holevo, and, C. M. Caves, (Plenum Publishing, New York, 1997);
35. M. Hotta and M. Ozawa, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70. 022327 70, 022327 (2004).
36. K. Matsumoto, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/35/13/307 35, 3111 (2002);
37. K. Usami, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.022314 68, 022314 (2003);
38. M. Hayashi and K. Matsumoto, e-print quant-ph/0308150.
39. J. M. Bernardo and A. F. M. Smith, Bayesian Theory (Wiley, Chichester, 2000).
40. A. G. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83. 3103 83, 3103 (1999);
41. D. F. V. James, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.012306 64, 052313 (2001);
42. R. T. Thew, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.012303 66, 012303 (2002);
43. J. B. Altepeter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 90.193601 90, 193601 (2003);
44. E. Skovsen, H. Stapelfeldt, S. Juhl, and K. Molmer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.090406 91, 090406 (2003).
45. U. Leonhardt, Measuring the Quantum State of Light (Cambridge University Press, Cambridge, England, 1997).
46. Z. Hradil, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.R1561 55, R1561 (1997);
47. K. Banaszek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4797 59, 4797 (1999);
48. Z. Hradil, J. Summhammer, and H. Rauch, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(99)00619-2 261, 20 (1999);
49. K. Banaszek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.010304 61, 010304 (2000);
50. Z. Hradil, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.014101 62, 014101 (2000);
51. J. Fiurásek and Z. Hradil, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.020101 63, 020101 (2001).
52. Y. I. Bogdanov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.042303 70, 042303 (2004);
53. H. F. Hofmann and S. Takeuchi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042108 69, 042108 (2004).
54. A. Monras, Ms thesis, Universitat Autònoma de Barcelona, Barcelona, 2004. (unpublished).
55. D. Ivanovic, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/14/12/019 14, 3241 (1981);
56. W. K. Wootters and B. D. Fields, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/0003-4916(89)90322-9 191, 363 (1989).
57. T. Cover and J. Thomas, Elements of Information Theory (Wiley, New York, 1991).
58. A. R. Edmonds, Angular Momentum in Quantum Mechanics (Princeton University Press, Princeton, NJ, 1960).
59. S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.3439 72, 3439 (1994).
60. H. Cramer, Mathematical Methods of Statistics (Princeton University Press, Princeton, NJ, 1946).