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Fundamental quantum limit in precision phase measurement
Abstract
We show through a series of arguments that, given a total average photon number 〈N〉, the fundamental limit in the precision phase measurement is set by quantum mechanics to be the so-called Heisenberg limit, i.e., 1/〈N〉. Some specific types of phase measurement are considered in the discussion. However, the proof based on the general principle of complementarity of quantum mechanics applies to any scheme of phase measurement. From the general argument by the complementarity principle, we are able to find a necessary condition for those states that can achieve the Heisenberg limit if they are employed for precision phase measurement. A general guideline is given for the search of the measurement schemes in which the Heisenberg limit is achieved. We demonstrate the procedure by applying it to a few specific examples.
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Cites
Quantum-mechanical noise in an interferometer
Caves, C. M. (1981) · Physical Review D · doi:10.1103/physrevd.23.1693 · Cited by 3,202
Jacobson, J., Björk, G., Chuang, I., & Yamamoto, Y. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.4835 · Cited by 296
Cited by
Giovannetti, V., Lloyd, S., & Maccone, L. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.010401 · Cited by 2,440
Ludlow, A. D., Boyd, M. M., Ye, J., Peik, E., & Schmidt, P. O. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.637 · Cited by 2,385
General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
Escher, B. M., de Matos Filho, R. L., & Davidovich, L. (2011) · Nature Physics · doi:10.1038/nphys1958 · Cited by 928
Super-resolving phase measurements with a multiphoton entangled state
Mitchell, M. W., Lundeen, J. S., & Steinberg, A. M. (2004) · Nature · doi:10.1038/nature02493 · Cited by 830
Beating the Standard Quantum Limit with Four-Entangled Photons
Nagata, T., Okamoto, R., O'Brien, J. L., Sasaki, K., & Takeuchi, S. (2007) · Science · doi:10.1126/science.1138007 · Cited by 735
Metadata
- Authors
- Ou, Z. Y.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1997-04-01
- Volume
- 55
- Issue
- 4
- Pages
- 2598-2609
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2066074017
- Cited by
- 189
- References
- 2
- FWCI
- 0.95
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ou, Z. Y. (1997). Fundamental quantum limit in precision phase measurement. Physical Review A. https://doi.org/10.1103/physreva.55.2598
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