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Cited by 315Quantum Information and CryptographyQuantum Computing Algorithms and ArchitectureQuantum optics and atomic interactions

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Quantum phase estimation with lossy interferometers

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Demkowicz-Dobrzanski, R., Dorner, U., Smith, B. J., Lundeen, J. S., Wasilewski, W., Banaszek, K., Walmsley, I. A.·2009·Physical Review A
DOI 10.1103/physreva.80.013825
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Abstract

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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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)
ORCID
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
DOI
10.1103/physreva.80.013825
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
Licence
link.aps.org/licenses/aps-default-license (vor)
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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