Accuracy matrix in a generalized simultaneous measurement of a qubit system

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 1, 2008, Pages

  Sagawa, Takahiro ^a   Ueda, Masahito ^a,b  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

^b JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; INFORMATION THEORY; MEASUREMENT THEORY; PROBABILITY DISTRIBUTIONS; TOMOGRAPHY; UNCERTAINTY ANALYSIS;

POSITIVE OPERATOR-VALUED MEASURE (POVM); QUANTUM MEASUREMENT; QUBIT SYSTEM;

QUANTUM THEORY;

EID: 40749102976     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.012313     Document Type: Article

References (43)

1. E. H. Kennard, Z. Phys. ZEPYAA 0044-3328 10.1007/BF01391200 44, 326 (1927).
2. H. P. Robertson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.34.163 34, 163 (1929).
3. D. Deutsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.50.631 50, 631 (1983).
4. H. Maassen and J. B. M. Uffink, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.1103 60, 1103 (1988).
5. J. S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964).
6. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.47.777 47, 777 (1935).
7. E. B. Davies and J. T. Lewis, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01647093 17, 239 (1970).
8. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
9. J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, 1955).
10. N. Bohr, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.48.696 48, 696 (1935).
11. E. Arthurs and J. L. Kelly, Jr., Bell. Syst. Tech. J. 44, 725 (1965).
12. P. Busch, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.33.2253 33, 2253 (1986).
13. Y. Yamamoto and H. A. Haus, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.58.1001 58, 1001 (1986).
14. E. Arthurs and M. S. Goodman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.60.2447 60, 2447 (1988).
15. H. Martens and W. M. de Muynck, Found. Phys. FNDPA4 0015-9018 10.1007/BF00731693 20, 255 (1990).
16. D. M. Appleby, Int. J. Theor. Phys. IJTPBM 0020-7748 10.1023/A: 1026616419979 37, 2557 (1998).
17. W. M. de Muynck, Found. Phys. FNDPA4 0015-9018 10.1023/A:1003640932686 30, 205 (2000).
18. P. Busch and C. R. Shilladay, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.034102 68, 034102 (2003).
19. M. J. W. Hall, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.052113 69, 052113 (2004).
20. M. Ozawa, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2003.12.001 320, 367 (2004).
21. E. Andersson, S. M. Barnett, and A. Aspect, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.042104 72, 042104 (2005).
22. S. Massar, e-print arXiv:quant-ph/0703036.
23. Y. Kurotani, T. Sagawa, and M. Ueda, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.022325 76, 022325 (2007).
24. M. Jammer, The Philosophy of Quantum Mechanics (Wiley, New York, 1974).
25. W. Heisenberg, Z. Phys. 44, 172 (1927).
26. C. A. Fuchs, Fortschr. Phys. FPYKA6 0015-8208 10.1002/(SICI)1521- 3978(199806)46:4/5<535::AID-PROP535>3.3.CO;2-S 46, 535 (1998).
27. K. Banaszek and I. Devetak, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.052307 64, 052307 (2001).
28. M. Ozawa, Ann. Phys. (N.Y.) APNYA6 0003-4916 10.1016/j.aop.2003.12.012 311, 350 (2004).
29. P. Busch, T. Heinomen, and P. J. Lahti, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2003.11.036 320, 261 (2004).
30. W. K. Wootters and W. H. Zurek, Nature (London) NATUAS 0028-0836 10.1038/299802a0 299, 802 (1982).
31. D. Dieks, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(82)90084-6 92, 271 (1982).
32. H. Barnum, C. M. Caves, C. A. Fuchs, R. Jozsa, and B. Schumacher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.2818 76, 2818 (1996).
33. N. J. Cerf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.4497 84, 4497 (2000).
34. R. A. Fisher, Proc. Cambridge Philos. Soc. 22, 700 (1925). 0068-6735
35. E. L. Lehmann, Theory of Point Estimation (Wiley, New York, 1983).
36. K. Banaszek, G. M. D'Ariano, M. G. A. Paris, and M. F. Sacchi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.010304 61, 010304 (R) (1999).
37. Z. Hradil and J. Řeháček, Fortschr. Phys. FPYKA6 0015-8208 10.1002/1521-3978(200110)49:10/11<1083::AID-PROP1083>3.0.CO;2-K 49, 1083 (2001).
38. D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.052312 64, 052312 (2001).
39. R. T. Thew, K. Nemoto, A. G. White, and W. J. Munro, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.012303 66, 012303 (2002).
40. J. Řeháček, B.-G. Englert, and D. Kaszlikowski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052321 70, 052321 (2004).
41. T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, New York, 1991).
42. G. Kimura, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(03)00941-1 314, 339 (2003).
43. M. S. Byrd and N. Khaneja, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.062322 68, 062322 (2003).