On the Heisenberg principle, namely on the information-disturbance trade-off in a quantum measurement

Fortschritte der Physik

Volumn 51, Issue 4-5, 2003, Pages 318-330

  D'Ariano, Giacomo Mauro ^a  

^a INFM   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038519694     PISSN: 00158208     EISSN: None     Source Type: Journal    
DOI: 10.1002/prop.200310045     Document Type: Conference Paper

References (62)

1. I. L. Chuang and M. A. Nielsen, Quantum Information and Quantum Computation (Cambridge University Press, Cambridge, 2000).
2. W. Heisenberg, Zeitschrift für Physik 43, 172-198 (1927).
3. W. Heisenberg, The Physical Principles of Quantum Theory (Univ. Chicago Press, Chicago, 1930) - Dover NY.
4. A. E. Ruark, Bull. APS 2, 16 (1927); Phys. Rev. 31, 311-312 (1928).
5. A. E. Ruark, Bull. APS 2, 16 (1927); Phys. Rev. 31, 311-312 (1928).
6. J. von Neumann, Mathematical Foundation of Quantum Mechanics (Princeton University Press, Princeton N. J., 1955).
7. A. Messiah, Quantum Mechanics (North-Holland Phys. Publ., Amsterdam, 1986).
8. V. B. Braginskyǐi and Yu. I. Vorontsov, Sov. Phys.-Usp. 17, (1975).
9. C. M. Caves, K. S. Thorne, R. W. P. Drever, V. D. Sandberg, and M. Zimmermann, Rev. Mod. Phys. 52, 341 (1980).
10. H. P. Yuen, Phys. Rev. Lett. 51, 719 (1983).
11. R. Lynch, Phys. Rev. Lett. 52, 1730 (1984); see also Yuen's response [15].
12. C. M. Caves, Phys. Rev. Lett. 54, 2465 (1985).
13. M. Ozawa, Phys. Rev. Lett. 51, 719 (1983).
14. M. Ozawa, in: Squeezed and Nonclassical Light, edited by P. Tombesi and E. R. Pike (Plenum, New York, 1989), p. 263.
15. M. Ozawa, Phys. Rev. A 41, 1735 (1990).
16. H. P. Yuen, Violation of the Standard Quantum Limit by Realizable Quantum Measurements (unpublished).
17. V. B. Braginsky and F. Ya. Kalili, in: Quantum measurement, edited by Kip. S. Thorne (Cambridge University Press, Cambridge G. B., 1992).
18. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon, Oxford, 1965).
19. A. Peres, Quantum theory: concepts and methods (Kluwer, Dordrecht, 1993).
20. Max Jammer, The conceptual development of quantum mechanics (McGraw-Hill, New York, 1966).
21. M. Ozawa, Phys. Lett. A 282, 336 (2001).
22. W. M. de Muynck, Found. Phys. 30, 205-225 (2000).
23. D. Bohm, Quantum Theory (Dover, Mineola N. Y., 1989).
24. E. Arthurs and J. L. Kelly, Bell Syst. Tech. J. 44, 725-729 (1965).
25. J. P. Gordon and W. H. Louisell, in: Physics of Quantum Electronics (McGraw-Hill, New York, 1966), pp. 833-840.
26. H. P. Yuen, Phys. Lett. A 91, 101 (1982).
27. E. Arthurs and M. S. Goodman, Phys. Rev. Lett. 60, 2447 (1988).
28. W. E. Lamb Jr., Phys. Today A 22, 23 (1969).
29. Max Jammer, The Philosophy of Quantum Mechanics (Wiley, New York, 1974).
30. M. Beller, Quantum Dialogue (University of Chicago Press, Chicago, 1999).
31. Chandrasekhar Roychoudhury, Found Phys. 8, 845 (1978).
32. J. Hilgevoord and J. B. M. Uffink, in: Sixty-two Years of Uncertainty, edited by A. I. Miller (Plenum, New York, 1990).
33. H. P. Robertson, Phys. Rev. 34, 163-164 (1929); Phys. Rev. 35, 667-667 (1930); Phys. Rev. 46, 794-801 (1934).
34. H. P. Robertson, Phys. Rev. 34, 163-164 (1929); Phys. Rev. 35, 667-667 (1930); Phys. Rev. 46, 794-801 (1934).
35. H. P. Robertson, Phys. Rev. 34, 163-164 (1929); Phys. Rev. 35, 667-667 (1930); Phys. Rev. 46, 794-801 (1934).
36. E. U. Condon, Science LXIX, 573 (1929).
37. E. Schrödinger, Sitz. Preus. Akad. Wiss. (Phys.-Math. Klasse) 19, 296-303 (1930).
38. D. Deutsch, Phys. Rev. Lett. 50, 631 (1983).
39. H. Massen and J. B. M. Uffink, Phys. Rev. Lett. 60, 1103 (1988).
40. M. J. W. Hall, Phys. Rev. A 49, 42 (1994).
41. E. C. G. Sudarshan, Paraxial optics and higher uncertainties (ICSSUR, Napoli, 1999).
42. G. M. D'Ariano and H. P. Yuen, Phys. Rev. Lett. 76, 2832 (1996).
43. O. Alter and Y. Yamamoto, Phys. Rev. Lett. 74, 4106 (1995).
44. Y. Aharonov, J. Anandan, and L. Vaidman, Phys. Rev. A 47, 4616 (1993). Y. Aharonov and L. Vaidman, Phys. Lett. A 178, 38 (1993).
45. Y. Aharonov, J. Anandan, and L. Vaidman, Phys. Rev. A 47, 4616 (1993). Y. Aharonov and L. Vaidman, Phys. Lett. A 178, 38 (1993).
46. M. Ueda and M. Kitagawa, Phys. Rev. Lett. 68, 3424 (1992).
47. A. Imamoglu, Phys. Rev. A 47, R4577 (1993).
48. A. Royer, Phys. Rev. Lett. 73, 913 (1994).
49. W. K. Wootters and W. H. Zurek, Nature 299, 802 (1982).
50. H. P. Yuen, Phys. Lett. A 113, 405 (1986).
51. C. A. Fuchs and A. Peres, Phys. Rev. A 53, 2038 (1996).
52. C. A. Fuchs, Fortschr. Phys. 46, 535-565 (1998).
53. H. Barnum, Report University of Bristol (2000).
54. K. Banaszek, Phys. Rev. A 64, 052307 (2001)
55. M. Ozawa (private communication).
56. V. P. Belavkin, Progr. Quant. Electr. 25, 1 (2001)
57. M. A. Nielsen, Phys. Rev. Lett. 83, 436-439 (1999).
58. A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and its Applications (Academic Press, New York, 1979).
59. J. Phys. A, Math. Gen. 34, 1 (2001).
60. A. Royer, Phys. Rev. Lett. 74, 1040 (1995) [Errata suggested by J. Finkelstein, B. Huttner, and N. Gisen].
61. M. Ozawa, J. Math. Phys. 27, 759 (1986).
62. S. L. Braunstein, G. M. D'Ariano, G. J. Milburn, and M. F. Sacchi, Phys. Rev. Lett. 84, 3486 (2000).