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Cited by 131Quantum Information and CryptographyQuantum Computing Algorithms and ArchitectureQuantum Mechanics and Applications

Phase estimation without a priori phase knowledge in the presence of loss

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Kołodyński, Jan, Demkowicz-Dobrzański, Rafał·2010·Physical Review A
DOI 10.1103/physreva.82.053804
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Abstract

We find the optimal scheme for quantum phase estimation in the presence of loss when no a priori knowledge on the estimated phase is available. We prove analytically an explicit lower bound on estimation uncertainty, which shows that, as a function of the number of probes, quantum precision enhancement amounts at most to a constant factor improvement over classical strategies.

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Crossref · 10.1103/physreva.82.053804

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  • The CE method yields an optimal bound for the lossy interferometer, listed in Table 1, which is asymptotically equally tight to the best bounds known in the literature.

    “The optimal bound (see Table 1) corresponds to h with non-zero elements . This bound is asymptotically equally tight to the best bounds known in the literature383940, proving again that CE method despite its simplicity is able to provide powerful results in a straightforward manner.”

    From The elusive Heisenberg limit in quantum-enhanced metrology (2012) · cites this paper as [38]

  • For particular decoherence models, prior work rigorously showed that asymptotically with respect to N, even infinitesimally small noise turns Heisenberg scaling into standard scaling, so the quantum gain amounts to a constant factor improvement.

    “Unfortunately, both the theory29303132333435 and experiments3637 confirmed the fragility of the above schemes when noise sources such as decoherence are considered, and it has been rigorously shown for particular models that asymptotically with respect to N, even infinitesimally small noise turns HS into SS, so that the quantum gain amounts to a constant factor improvement383940.”

    From The elusive Heisenberg limit in quantum-enhanced metrology (2012) · cites this paper as [38]

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Research works printed but not linked: 1

  1. [34]S. Knysh, V. N. Smelyanskiy, and G. A. Durkin, arXiv:1006.1645 (2010). · arXiv

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Authors
Kołodyński, J., & Demkowicz-Dobrzański, R.
Affiliations
University of Warsaw (PL)
ORCID
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2010-11-04
Volume
82
Issue
5
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.82.053804
OpenAlex
W2083576616
Cited by
131
References
32
Citations by year
2026: 5 · 2025: 9 · 2024: 7 · 2023: 3 · 2022: 4 · 2021: 11 · 2020: 9 · 2019: 3 · 2018: 9 · 2017: 9 · 2016: 9 · 2015: 9 · 2014: 12 · 2013: 14 · 2012: 7
FWCI
10.83
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)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Computer Science › Artificial Intelligence › 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 Mechanics and Applications
Keywords
quantum phase estimation, optical loss

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