The DOI matches its Crossref record; 32 of the 32 references it cites were found in a registry or an index.
Quantum phase estimation with lossy interferometers
Open accessAbstract
We give a detailed discussion of optimal quantum states for optical two-mode interferometry in the presence of photon losses. We derive analytical formulae for the precision of phase estimation obtainable using quantum states of light with a definite photon number and prove that maximization of the precision is a convex optimization problem. The corresponding optimal precision, i.e., the lowest possible uncertainty, is shown to beat the standard quantum limit thus outperforming classical interferometry. Furthermore, we discuss more general inputs: states with indefinite photon number and states with photons distributed between distinguishable time bins. We prove that neither of these is helpful in improving phase estimation 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 QFI (with rising N) becomes hard even numerically202930.”
From The elusive Heisenberg limit in quantum-enhanced metrology (2012) · cites this paper as [30]
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“From the point of view of metrology, the QFI is then bounded from above by the weighted sum of QFIs for each of these sectors30.”
From The elusive Heisenberg limit in quantum-enhanced metrology (2012) · cites this paper as [30]
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Cites
Quantum detection and estimation theory
Helstrom, C. W. (1969) · Journal of Statistical Physics · doi:10.1007/bf01007479 · Cited by 3,776
Statistical distance and the geometry of quantum states
Braunstein, S. L., & Caves, C. M. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.3439 · Cited by 3,176
Quantum-Enhanced Measurements: Beating the Standard Quantum Limit
Giovannetti, V., Lloyd, S., & Maccone, L. (2004) · Science · doi:10.1126/science.1104149 · Cited by 3,160
Quantum Detection and Estimation Theory
(1976) · Mathematics in Science and Engineering/Mathematics in science and engineering · doi:10.1016/s0076-5392(08)x6017-5 · Cited by 2,712
Theory of Statistical Estimation
Fisher, R. A. (1925) · Mathematical Proceedings of the Cambridge Philosophical Society · doi:10.1017/s0305004100009580 · Cited by 2,684
Probabilistic and Statistical Aspects of Quantum Theory
Holevo, A. (2011) · doi:10.1007/978-88-7642-378-9 · Cited by 2,582
Giovannetti, V., Lloyd, S., & Maccone, L. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.010401 · Cited by 2,440
Optimal frequency measurements with maximally correlated states
Bollinger, J. J., Itano, W. M., Wineland, D. J., & Heinzen, D. J. (1996) · Physical Review A · doi:10.1103/physreva.54.r4649 · Cited by 1,167
Improvement of Frequency Standards with Quantum Entanglement
Huelga, S. F., Macchiavello, C., Pellizzari, T., Ekert, A. K., Plenio, M. B., & Cirac, J. I. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.3865 · Cited by 999
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
Self-citationBeating 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
Generalized uncertainty relations: Theory, examples, and Lorentz invariance
Braunstein, S. L., Caves, C. M., & Milburn, G. J. (1996) · Annals of Physics · doi:10.1006/aphy.1996.0040 · Cited by 732
Entanglement-free Heisenberg-limited phase estimation
Higgins, B. L., Berry, D. W., Bartlett, S. D., Wiseman, H. M., & Pryde, G. J. (2007) · Nature · doi:10.1038/nature06257 · Cited by 628
Monotone metrics on matrix spaces
Petz, D. (1996) · Linear Algebra and its Applications · doi:10.1016/0024-3795(94)00211-8 · Cited by 585
Optimal Quantum Phase Estimation
Dorner, U., Demkowicz-Dobrzanski, R., Smith, B. J., Lundeen, J. S., Wasilewski, W., Banaszek, K., & Walmsley, I. A. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.040403 · Cited by 494
Self-citationOptimal States and Almost Optimal Adaptive Measurements for Quantum Interferometry
Berry, D. W., & Wiseman, H. M. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.5098 · Cited by 290
Time-Reversal and Super-Resolving Phase Measurements
Resch, K. J., Pregnell, K. L., Prevedel, R., Gilchrist, A., Pryde, G. J., O’Brien, J. L., & White, A. G. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.223601 · Cited by 269
Entangled Fock states for robust quantum optical metrology, imaging, and sensing
Huver, S. D., Wildfeuer, C. F., & Dowling, J. P. (2008) · Physical Review A · doi:10.1103/physreva.78.063828 · Cited by 255
Optical coherence: A convenient fiction
Mølmer, K. (1997) · Physical Review A · doi:10.1103/physreva.55.3195 · Cited by 223
Fisher information in quantum statistics
Barndorff-Nielsen, O. E., & Gill, R. D. (2000) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/33/24/306 · Cited by 208
Quantum channel identification problem
Fujiwara, A. (2001) · Physical Review A · doi:10.1103/physreva.63.042304 · Cited by 195
Demonstrating Heisenberg-limited unambiguous phase estimation without adaptive measurements
Higgins, B. L., Berry, D. W., Bartlett, S. D., Mitchell, M. W., Wiseman, H. M., & Pryde, G. J. (2009) · New Journal of Physics · doi:10.1088/1367-2630/11/7/073023 · Cited by 135
Qubit metrology and decoherence
Shaji, A., & Caves, C. M. (2007) · Physical Review A · doi:10.1103/physreva.76.032111 · Cited by 125
Hofmann, H. F. (2009) · Physical Review A · doi:10.1103/physreva.79.033822 · Cited by 121
Loss-induced limits to phase measurement precision with maximally entangled states
Rubin, M. A., & Kaushik, S. (2007) · Physical Review A · doi:10.1103/physreva.75.053805 · Cited by 100
Local and Global Distinguishability in Quantum Interferometry
Durkin, G. A., & Dowling, J. P. (2007) · Physical Review Letters · doi:10.1103/physrevlett.99.070801 · Cited by 96
Multiphoton Path Entanglement by Nonlocal Bunching
Eisenberg, H. S., Hodelin, J. F., Khoury, G., & Bouwmeester, D. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.090502 · Cited by 95
DIALOGUE CONCERNING TWO VIEWS ON QUANTUM COHERENCE: FACTIST AND FICTIONIST
Bartlett, S. D., RUDOLPH, T., & Spekkens, R. W. (2006) · International Journal of Quantum Information · doi:10.1142/s0219749906001591 · Cited by 87
Use of maximally entangled N-photon states for practical quantum interferometry
Gilbert, G. N., Hamrick, M., & Weinstein, Y. S. (2008) · Journal of the Optical Society of America B · doi:10.1364/josab.25.001336 · Cited by 64
Spin squeezing in optical lattice clocks via lattice-based QND measurements
Meiser, D., Ye, J., & Holland, M. (2008) · New Journal of Physics · doi:10.1088/1367-2630/10/7/073014 · Cited by 58
Optimal estimation of one-parameter quantum channels
Sarovar, M., & Milburn, G. J. (2006) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/39/26/015 · Cited by 57
Robust strategies for lossy quantum interferometry
Maccone, L., & Cillis, G. D. (2009) · Physical Review A · doi:10.1103/physreva.79.023812 · Cited by 26
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Giovannetti, V., Lloyd, S., & Maccone, L. (2011) · Nature Photonics · doi:10.1038/nphoton.2011.35 · Cited by 3,894
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
The elusive Heisenberg limit in quantum-enhanced metrology
Demkowicz-Dobrzański, R., Kołodyński, J., & Guţă, M. (2012) · Nature Communications · doi:10.1038/ncomms2067 · Cited by 773
Quantum Limits in Optical Interferometry
Demkowicz-Dobrzański, R., Jarzyna, M., & Kołodyński, J. (2015) · Progress in optics · doi:10.1016/bs.po.2015.02.003 · Cited by 562
Quantum metrology with entangled coherent states
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Metadata
- Authors
- Demkowicz-Dobrzanski, R., Dorner, U., Smith, B. J., Lundeen, J. S., Wasilewski, W., Banaszek, K., & Walmsley, I. A.
- Affiliations
- University of Oxford (GB)
- Centre for Quantum Technologies (SG)
- University of Warsaw (PL)
- Nicolaus Copernicus University (PL)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2009-07-24
- Volume
- 80
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1987408033
- Cited by
- 315
- References
- 32
- Citations by year
- 2026: 13 · 2025: 29 · 2024: 20 · 2023: 21 · 2022: 14 · 2021: 22 · 2020: 22 · 2019: 16 · 2018: 16 · 2017: 27 · 2016: 21 · 2015: 12 · 2014: 23 · 2013: 16 · 2012: 16
- FWCI
- 15.52
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- National University of Singapore (submittedVersion)
- NPARC (submittedVersion)
- arXiv (Cornell University)
- Funders
- Engineering and Physical Sciences Research Council (EP/E036066/1)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
- Keywords
- quantum phase estimation, optical interferometry, photon loss, photon number states, convex optimization, standard quantum limit, time-bin entanglement, precision measurement
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