Entanglement-free Heisenberg-limited phase estimation

Nature

Volumn 450, Issue 7168, 2007, Pages 393-396

  Higgins, B L ^a   Berry, D W ^b   Bartlett, S D ^c   Wiseman, H M ^a   Pryde, G J ^a  

^a GRIFFITH UNIVERSITY   (Australia)

^b MACQUARIE UNIVERSITY   (Australia)

^c UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ESTIMATION METHOD; STANDARD (REFERENCE); VARIANCE ANALYSIS;

ACCURACY; ARTICLE; INTERFEROMETRY; PHOTON; PRIORITY JOURNAL; QUANTUM CHEMISTRY; VARIANCE;

EID: 36248962184     PISSN: 00280836     EISSN: 14764687     Source Type: Journal    
DOI: 10.1038/nature06257     Document Type: Article

References (31)

1. Caves, C. M. Quantum-mechanical noise in an interferometer. Phys. Rev. D 23, 1693-1708 (1981).
2. Yurke, B., McCall, S. L. & Klauder, J. R. SU(2) and SU(1,1) interferometers. Phys. Rev. A 33, 4033-4054 (1986).
3. Giovannetti, V., Lloyd, S. & Maccone, L. Quantum-enhanced measurements: beating the standard quantum limit. Science 306, 1330-1336 (2004).
4. Bollinger, J. J., Itano, W. M., Wineland, D. J. & Heinzen, D. J. Optimal frequency measurements with maximally correlated states. Phys. Rev. A 54, R4649-R4652 (1996).
5. Lee, H., Kok, P. & Dowling, J. P. A quantum Rosetta stone for interferometry. J. Mod. Opt. 49, 2325-2338 (2002).
6. Rarity, J. G. et al. Two-photon interference in a Mach-Zehnder interferometer. Phys. Rev. Lett. 65, 1348-1351 (1990).
7. Fonseca, E. J. S., Monken, C. H. & Pádua, S. Measurement of the de Broglie wavelength of a multiphoton wave packet. Phys. Rev. Lett. 82, 2868-2871 (1999).
8. Edamatsu, K., Shimizu, R. & Itoh, T. Measurement of the photonic de Broglie wavelength of entangled photon pairs generated by spontaneous parametric down-conversion. Phys. Rev. Lett. 89, 213601 (2002).
9. Walther, P. et al. De Broglie wavelength of a non-local four-photon state. Nature 429, 158-161 (2004).
10. Mitchell, M. W., Lundeen, J. S. & Steinberg, A. M. Super-resolving phase measurements with a multiphoton entangled state. Nature 429, 161-164 (2004).
11. Eisenberg, H. S., Hodelin, J. F., Khoury, G. & Bouwmeester, D. Multiphoton path entanglement by nonlocal bunching. Phys. Rev. Lett. 94, 090502 (2005).
12. Leibfried, D. et al. Creation of a six-atom 'Schrödinger cat' state. Nature 438, 639-642 (2005).
13. Sun, F. W., Liu, B. H., Huang, Y. F., Ou, Z. Y. & Guo, G. C. Observation of the four-photon de Broglie wavelength by state-projection measurement. Phys. Rev. A 74, 033812 (2006).
14. Nagata, T., Okamoto, R., O'Brien, J. L., Sasaki, K. & Takeuchi, S. Beating the standard quantum limit with four-entangled photons. Science 316, 726-729 (2007).
15. Resch, K. J. et al. Time-reversal and super-resolving phase measurements. Phys. Rev. Lett. 98, 223601 (2007).
16. Kitaev, A. Y. Quantum measurements and the Abelian stabilizer problem. Electr. Coll. Comput. Complex. 3, article no. 3 (1996).
17. Wiseman, H. M. Adaptive phase measurements of optical modes: Going beyond the marginal Q distribution. Phys. Rev. Lett. 75, 4587-4590 (1995).
18. Berry, D. W. & Wiseman, H. M. Optimal states and almost optimal adaptive measurements for quantum interferometry. Phys. Rev. Lett. 85, 5098-5101 (2000).
19. Armen, M. A., Au, J. K., Stockton, J. K., Doherty, A. C. & Mabuchi, H. Adaptive homodyne measurement of optical phase. Phys. Rev. Lett. 89, 133602 (2002).
20. Cook, R. L., Martin, P. J. & Geremia, J. M. Optical coherent state discrimination using a closed-loop quantum measurement. Nature 446, 774-777 (2007).
21. Mitchell, M. W. Metrology with entangled states. Proc. SPIE 5893, 589310 (2005).
22. Nielsen, M. A. & Chuang, I. L. Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, UK, 2000).
23. Rudolph, T. & Grover, L. Quantum communication complexity of establishing a shared reference frame. Phys. Rev. Lett. 91, 217905 (2003).
24. de Burgh, M. & Bartlett, S. D. Quantum methods for clock synchronization: beating the standard quantum limit without entanglement. Phys. Rev. A 72, 042301 (2005).
25. Giovannetti, V., Lloyd, S. & Maccone, L. Quantum metrology. Phys. Rev. Lett. 96, 010401 (2006).
26. van Dam, W., D'Ariano, G. M., Ekert, A., Macchiavello, C. & Mosca, M. Optimal quantum circuits for general phase estimation. Phys. Rev. Lett. 98, 090501 (2007).
27. Griffiths, R. B. & Niu, C.-S. Semiclassical Fourier transform for quantum computation. Phys. Rev. Lett. 76, 3228-3231 (1996).
28. Wiseman, H. M. & Killip, R. B. Adaptive single-shot phase measurements: a semiclassical approach. Phys. Rev. A 56, 944-957 (1997).
29. Hradil, Z. et al. Quantum phase in interferometry. Phys. Rev. Lett. 76, 4295-4298 (1996).
30. Davison, A. C. & Hinkley, D. V. Bootstrap Methods and Their Application Ch. 5 Cambridge Univ. Press, Cambridge, UK (1997).
31. Schenker, N. Qualms about bootstrap confidence intervals. J. Am. Stat. Assoc. 80, 360-361 (1985).