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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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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
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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