Optimal Quantum Phase Estimation
Open accessAbstract
By using a systematic optimization approach, we determine quantum states of light with definite photon number leading to the best possible precision in optical two-mode interferometry. Our treatment takes into account the experimentally relevant situation of photon losses. Our results thus reveal the benchmark for precision in optical interferometry. Although this boundary is generally worse than the Heisenberg limit, we show that the obtained precision beats the standard quantum limit, thus leading to a significant improvement compared to classical interferometers. We furthermore discuss alternative states and strategies to the optimized states which are easier to generate at the cost of only slightly lower precision.
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In the presence of decoherence, the optimal input states do not have an intuitive form and the maximization of the quantum Fisher information with rising N becomes hard even numerically.
“In the presence of decoherence, the optimal input states do not have an intuitive form and the maximization of the QFI (with rising N) becomes hard even numerically202930.”
From The elusive Heisenberg limit in quantum-enhanced metrology (2012) · cites this paper as [29]
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Sahota, J., & Quesada, N. (2015) · Physical Review A · doi:10.1103/physreva.91.013808 · Cited by 66 · see citing works
Gard, B., You, C., Mishra, D. K., Singh, R., Lee, H., Corbitt, T. R., & Dowling, J. P. (2017) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-017-0058-8 · Cited by 68 · see citing works
Quantum states made to measure
Banaszek, K., Demkowicz-Dobrzański, R., & Walmsley, I. A. (2009) · Nature Photonics · doi:10.1038/nphoton.2009.223 · Cited by 67 · see citing works
Self-citationQuantum-enhanced interferometry with large heralded photon-number states
Thekkadath, G., Mycroft, M. E., Bell, B. A., Wade, C. G., Eckstein, A., Phillips, D. S., Patel, R. B., Buraczewski, A., Lita, A. E., Gerrits, T., et al. (2020) · npj Quantum Information · doi:10.1038/s41534-020-00320-y · Cited by 67 · see citing works
Self-citationEfficient Optical Quantum State Engineering
McCusker, K. T., & Kwiat, P. G. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.163602 · Cited by 66 · see citing works
Ataman, S., Preda, A., & Ionicioiu, R. (2018) · Physical Review A · doi:10.1103/physreva.98.043856 · Cited by 62 · see citing works
Parity measurements in quantum optical metrology
Chiruvelli, A., & Lee, H. (2011) · Journal of Modern Optics · doi:10.1080/09500340.2011.585251 · Cited by 63 · see citing works
Quantum metrology with spin cat states under dissipation
Huang, J., Qin, X., Zhong, H., Ke, Y., & Lee, C. (2015) · Scientific Reports · doi:10.1038/srep17894 · Cited by 63 · see citing works
Optimal phase estimation with arbitrary a priori knowledge
Demkowicz-Dobrzański, R. (2011) · Physical Review A · doi:10.1103/physreva.83.061802 · Cited by 59 · see citing works
Approaching optimal entangling collective measurements on quantum computing platforms
Conlon, L. O., Vogl, T., Marciniak, C. D., Pogorelov, I., Yung, S. K., Eilenberger, F. X., Berry, D. W., Santana, F. S., Blatt, R., Monz, T., et al. (2023) · Nature Physics · doi:10.1038/s41567-022-01875-7 · Cited by 62 · see citing works
Enhanced interferometry using squeezed thermal states and even or odd states
Tan, Q.-S., Liao, J., Wang, X., & Nori, F. (2014) · Physical Review A · doi:10.1103/physreva.89.053822 · Cited by 61 · see citing works
Conlon, L. O., Suzuki, J., Lam, P. K., & Assad, S. M. (2021) · npj Quantum Information · doi:10.1038/s41534-021-00414-1 · Cited by 59 · see citing works
- Authors
- Dorner, U., Demkowicz-Dobrzanski, R., Smith, B. J., Lundeen, J. S., Wasilewski, W., Banaszek, K., & Walmsley, I. A.
- Affiliations
- University of Oxford (GB)
- University of Warsaw (PL)
- Nicolaus Copernicus University (PL)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-01-30
- Volume
- 102
- Issue
- 4
- Pages
- 040403-040403
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2008439590
- Cited by
- 494
- References
- 19
- Citations by year
- 2026: 23 · 2025: 39 · 2024: 27 · 2023: 26 · 2022: 27 · 2021: 19 · 2020: 36 · 2019: 32 · 2018: 27 · 2017: 36 · 2016: 34 · 2015: 23 · 2014: 39 · 2013: 28 · 2012: 23
- FWCI
- 28.07
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Engineering and Physical Sciences Research Council (GR/S82176/01, EP/E036066/1)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum phase estimation, photon number states, photon loss, standard quantum limit, Heisenberg limit, quantum metrology, squeezed light
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