Quantum-enhanced measurements: Beating the standard quantum limit

Science

Volumn 306, Issue 5700, 2004, Pages 1330-1336

  Giovannetti, Vittorio ^a   Lloyd, Seth ^b   Maccone, Lorenzo ^c  

^a INFN SEZIONE DI PISA   (Italy)

^b Massachusetts Institute of Technology Cambridge   (United States)

^c UNIVERSITY OF PAVIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

PRECISION BALANCES; SHOT NOISE;

HEISENBERG UNCERTAINTY PRINCIPLE; QUANTUM-ENHANCED MEASUREMENTS;

QUANTUM THEORY;

MEASUREMENT METHOD;

ACCURACY; HEISENBERG LIMIT; MEASUREMENT; PRIORITY JOURNAL; QUANTUM ENTANGLEMENT; QUANTUM LIMIT; QUANTUM MECHANICS; QUANTUM SQUEEZING; REVIEW; SHOT NOISE LIMIT; STANDARD;

EID: 8844286884     PISSN: 00368075     EISSN: None     Source Type: Journal    
DOI: 10.1126/science.1104149     Document Type: Review

References (83)

1. H. P. Robertson, Phys. Rev. 34, 163 (1929).
2. N. Margolus, L. B. Levitin, Physica D 120, 188 (1998).
3. C. M. Caves, K. S. Thorne, R. W. P. Drever, V. D. Sandberg, M. Zimmermann, Rev. Mod. Phys. 52, 341 (1980).
4. K. Bencheikh, J. A. Levenson, P. Grangier, O. Lopez, Phys. Rev. Lett. 75, 3422 (1995).
5. G. J. Milbum, D. F. Walls, Phys. Rev. A. 28, 2065 (1983).
6. V. B. Braginsky, F. Ya Khalili, Quantum Measurements (Cambridge Univ. Press, Cambridge, 1992).
7. C. M. Caves, Phys. Rev. D 23, 1693 (1981).
8. B. Yurke, S. L. McCall, J. R. Klauder, Phys. Rev. A 33, 4033 (1986).
9. C. W. Helstrom, Quantum Detection and Estimation Theory (Academic Press, New York, 1976).
10. V. B. Braginsky, Y. I. Vorontsov, Sov. Phys. Usp. 17, 644 (1975).
11. S. M. Barnett, C. Fabre, A. Maître, Eur. Phys. J. D 22, 513 (2003).
12. J. P. Dowling, Phys. Rev. A 57, 4736 (1998).
13. B. C. Sanders, G. J. Milburn, Phys. Rev. Lett. 75, 2944 (1995).
14. R. S. Bondurant, J. H. Shapiro, Phys. Rev. D 30, 2548 (1984).
15. M. Xiao, L Wu, H. J. Kimble Phys, Rev. Lett. 59, 278 (1987).
16. M. J. Holland, K. Burnett, Phys. Rev. Lett. 71, 1355 (1993).
17. J. Jacobson, G. Björk, I. Chuang, Y. Yamamoto, Phys. Rev. Lett. 74, 4835 (1995).
18. L. Mandelstam, I. G. Tamm J. Phys. USSR 9, 249 (1945).
19. J. J. Bollinger, Wayne M. Itano, D. J. Wineland, D. J. Heinzen, Phys. Rev. A 54, R4649 (1996).
20. Z. Y. Ou, Phys. Rev. A. 55, 2598 (1997).
21. J. Jacobson, G. Bjork, Y. Yamamoto, Appl. Phys. B 60, 187 (1995).
22. P. Kok, S. L. Braunstein, J. P. Dowling, J. Opt. B Quantum Semiclass. Opt. 6, 5811 (2004).
23. G. M. D'Ariano, P. Lo Presti, Phys. Rev. Lett. 91, 047902 (2003).
24. F. De Martini, A. Mazzei, M. Ricci, G. M. D'Ariano, Phys. Rev. A 67, 062307 (2003).
25. G. Mauro D'Ariano, P. Lo Presti, M. G. A. Paris, Phys. Rev. Lett. 87, 270404 (2001).
26. M. A. Nielsen, I. L. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, 2000).
27. S. F. Huelga et al., Phys. Rev. Lett. 79, 3865 (1997).
28. U. W. Rathe, M. O. Scully, Lett. Math. Phys. 34, 297 (1995).
29. H.-B. Fei, B. M. Jost, S. Popescu, B. E. A. Saleh, M. C. Teich, Phys. Rev. Lett. 78, 1679 (1997).
30. A. N. Boto et al., Phys. Rev. Lett. 85, 2733 (2000).
31. M. D'Angelo, M. V. Chekhova, Y. Shih, Phys. Rev. Lett. 87, 013602 (2001).
32. J. N. Gannaway, C. J. R. Sheppard, Opt. Quantum Electron. 10, 435 (1978).
33. E. J. S. Fonseca, C. H. Monken, S. Pádua, Phys. Rev. Lett. 82, 2B68 (1999).
34. V. Giovannetti, S. Lloyd, L. Maccone, Nature 412, 417 (2001).
35. V. Giovannetti, S. Lloyd, L. Maccone, F. N. C. Wong, Phys. Rev. Lett. 87, 117902 (2001).
36. R. Jozsa, D. S. Abrams, J. P. Dowling, C. P. Williams, Phys. Rev. Lett. 85, 2010 (2000).
37. J. D. Franson, Phys. Rev. A 45, 3126 (1992).
38. M. I. Kolobov, Rev. Mod. Phys. 71, 1539 (1999).
39. L. A. Lugiato, A. Gatti, E. Brambilla. J. Opt. B Quantum Semiclass. Opt. 4, S176 (2002).
40. T. B. Pittman, Y. H. Shih, D. V. Strekalov, A. V. Sergienko, Phys. Rev. A 52, R3429 (1995).
41. R. S. Bennink, S. J. Bentley, R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
42. A. Gatti, E. Brambilla, M. Bache, and L. A. Lugiato, Phys. Rev. A 70, 013802 (2004).
43. C. Fabre, J. B. Fouet, A. Matre, Opt. Lett. 25, 76 (2000).
44. N. Treps et al., Phys. Rev. Lett. 88, 203601 (2002).
45. M. I. Kolobov, C. Fabre, Phys. Rev. Lett. 85, 3789 (2000).
46. A. Peres, P. F. Scudo, Phys. Rev. Lett. 87, 167901 (2001).
47. E. Bagan, M. Baig, R. Muñoz-Tapia, Phys. Rev. Lett. 87, 257903 (2001).
48. G. Chiribella, G. M. D'Ariano, P. Perinotti, M. F. Sacchi, Phys. Rev. Lett. 93, 180503 (2004).
49. N. Gisin, S. Popescu, Phys. Rev. Lett. 83, 432 (1999).
50. W. A. Edelstein, J. Hough, J. R. Pugh, W. Martin, J. Phys. E Sci. Instrum. 11, 710 (1978).
51. H. P. Yuen, Phys. Rev. Lett. 51, 719 (1983).
52. C. M. Caves, Phys. Rev. Lett. 54, 2465 (1985).
53. M. Ozawa, Phys. Rev. Lett. 60, 385 (1988).
54. C. M. Caves, Phys. Rev. Lett. 45, 75 (1980).
55. W. G. Unruh, in Quantum Optics, Experimental Gravitation and Measurement Theory, P. Meystre, M. O. Scully, Eds. (Plenum, New York, 1983), p. 647.
56. M. T. Jaekel, S. Reynaud, Europhys. Lett. 13, 301 (1990).
57. A. F. Pace, M. J. Collett, D. F. Walls, Phys. Rev. A 47, 3173 (1993).
58. M. F. Bocko, R. Onofrio, Rev. Mod. Phys. 68, 755 (1996).
59. R. G. Knobel, A. N. Cleland, Nature 424, 291 (2003).
60. M. D. LaHaye, O. Buu, B. Camarota, K. C. Schwab, Science 304, 74 (2004).
61. H. M. Wiseman, Phys. Rev. A. 51, 2459 (1995).
62. S. Mancini, D. Vitali, P. Tombesi, Phys. Rev. Lett. 80, 688 (1998).
63. P. F. Cohadon, A. Heidmann, M. Pinard, Phys. Rev. Lett. 83, 3174 (1999).
64. G. M. D'Ariano, M. Sacchi, R. Seno, Nuovo Cimento B 114, 775 (1999).
65. N. Imoto, H. A. Haus, Y. Yamamoto, Phys. Rev. A 32, 2287 (1985).
66. G. Nogues et al., Nature 400, 239 (1999).
67. P. Grangier, J. A. Levenson, J.-P. Poizat, Nature 396, S37 (1998).
68. V. B. Braginsky, F. Ya. Khalili, Phys. Lett. A 147, 251 (1990).
69. A. Buonanno, Y. Chen, Phys. Rev. D 64, 042006 (2001).
70. E. P. Wigner, Rev. Mod. Phys. 29, 255 (1957).
71. B. S. De Witt, in Gravitation: An Introduction to Current Research, L. Witten, Ed. (Wiley, New York, 1962).
72. S. Lloyd, Nature 406, 1047 (2004).
73. S. Lloyd, Phys. Rev. Lett. 88, 237901 (2002).
74. C. Callender, N. Huggett, Eds., Physics Meets Philosophy at the Planck Scale: Contemporary Theories in Quantum Gravity (Cambridge Univ. Press, Cambridge, 2001).
75. J. D. Bekenstein, Phys. Rev. D 23, 287 (1981).
76. G.'t Hooft, in Basics and Highlights in Fundamental Physics, The Subnuclear Series, A. Zichichi, Ed. (World Scientific, Erice, Italy, 2001), p. 72 (available at http://lanl.gov/abs/hep-th/i0003004).
77. L. Susskind, J. Math. Phys. 36, 6377 (1995).
78. R. Bousso, Rev. Mod. Phys. 74, 000825 (2002).
79. Y. J. Ng, Phys. Rev. Lett. 86, 2946 (2001) and erratum, Phys. Rev. Lett. 88, 139902(E) (2002).
80. Y. J. Ng, Phys. Rev. Lett. 86, 2946 (2001) and erratum, Phys. Rev. Lett. 88, 139902(E) (2002).
81. U. Yurtsever, Phys. Rev. Lett. 91, 41302 (2003).
82. M. O. Scully, B.-G. Englert, H. Walther, Nature 351, 111 (1991).
83. V.G. acknowledges financial support by European Commission (EC) contracts Information Society Technologies-Superconducting Quantum BITS (IST-SQUIBIT), IST-SQUBIT2, and Research Training Networks-Nanoscale Dynamics. SI. was supported by the Defense Advanced Research Projects Agency, Advanced Research and Development Activity, and Army Research Office via a Multidisciplinary Research Initiative program. L.M. acknowledges financial support by EC Active Teleportation and Entangled State Information Technology project IST-2000-29681 and Ministero dell'lstruzione, dell'Universita e della Ricerca Cofinanziamento 2003.