Advances in quantum metrology
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The maximum bound gives the best precision in quantum metrology.
“the best precision in quantum metrology [29]”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [29]
For an unbiased measurement strategy, the variance of the estimate of an unknown parameter is bounded below by the inverse of the number of repetitions times the quantum Fisher information.
“Under the assumption that our strategy is unbiased, i.e. μ = µ, the uncertainty in our estimate, is related to the variance of μ and is lower bounded by the so-called quantum Cramer-Rao bound”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [29]
There exists no general analytical method to find the optimal initial state pair.
“There exists no general analytical method to find the optimal initial state pair ( ρ 1 , ρ 2 ) [24].”
From Quantum speedup in a memory environment (2014) · cites this paper as [24]
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- Authors
- Giovannetti, V., Lloyd, S., & Maccone, L.
- Affiliations
- Scuola Normale Superiore (IT)
- Massachusetts Institute of Technology (US)
- University of Pavia (IT)
- Corresponding author
- Giovannetti, Vittorio
- Venue
- Nature Photonics
- Published
- 2011-03-31
- Volume
- 5
- Issue
- 4
- Pages
- 222-229
- ISSN
- 1749-4885 (ISSN-L)
- 1749-4893
- OpenAlex
- W1981983416
- Cited by
- 3,894
- References
- 129
- Citations by year
- 2026: 314 · 2025: 400 · 2024: 428 · 2023: 362 · 2022: 331 · 2021: 335 · 2020: 323 · 2019: 297 · 2018: 222 · 2017: 224 · 2016: 208 · 2015: 144 · 2014: 137 · 2013: 91 · 2012: 63
- FWCI
- 90.12
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Nature Photonics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- DSpace@MIT (Massachusetts Institute of Technology) (submittedVersion, cc-by-nc-sa)
- Scuola Normale Superiore di Pisa (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 › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum metrology, quantum-enhanced estimation, entanglement, statistical precision, central limit theorem, noise effects, experimental imperfections, quantum 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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