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Cited by 218Quantum Information and CryptographyQuantum Mechanics and ApplicationsQuantum optics and atomic interactions

Scaling laws for precision in quantum interferometry and the bifurcation landscape of the optimal state

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Knysh, Sergey, Smelyanskiy, Vadim N., Durkin, Gabriel A.·2011·Physical Review A
DOI 10.1103/physreva.83.021804
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Abstract

Phase precision in optimal two-channel quantum interferometry is studied in the limit of large photon number $N\ensuremath{\gg}1$, for losses occurring in either one or both channels. For losses in one channel an optimal state undergoes an intriguing sequence of local bifurcations as the number of photons (or losses) increase. The optimal state has a continuous form in the Fock state basis for large $N$. The loss parameter limits any precision improvement over classical light to at most a constant factor independent of $N$. We determine a crossover value of photon number ${N}_{c}$ beyond which supraclassical precision is progressively lost.

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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 [39]

  • 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 [39]

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Authors
Knysh, S., Smelyanskiy, V. N., & Durkin, G. A.
Affiliations
Ames Research Center (US)
ORCID
Smelyanskiy, Vadim N.
Venue
Physical Review A
Publisher
American Physical Society (APS)
Published
2011-02-25
Volume
83
Issue
2
ISSN
  • 0556-2791 (ISSN-L)
  • 1050-2947
  • 1094-1622
DOI
10.1103/physreva.83.021804
OpenAlex
W1990463130
Cited by
218
References
16
Citations by year
2026: 2 · 2025: 7 · 2024: 4 · 2023: 33 · 2022: 6 · 2021: 12 · 2020: 10 · 2019: 12 · 2018: 9 · 2017: 21 · 2016: 23 · 2015: 17 · 2014: 26 · 2013: 18 · 2012: 8
FWCI
17.96
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 › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum optics and atomic interactions
Keywords
quantum interferometry, scaling laws, optical loss, bifurcation, ideal state, Fock states, quantum-to-classical transition

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