Practical limits of error correction for quantum metrology
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Abstract Noise is the greatest obstacle in quantum metrology that limits it achievable precision and sensitivity. There are many techniques to mitigate the effect of noise, but this can never be done completely. One commonly proposed technique is to repeatedly apply quantum error correction. Unfortunately, the required repetition frequency needed to recover the Heisenberg limit is unachievable with the existing quantum technologies. In this article we explore the discrete application of quantum error correction with current technological limitations in mind. We establish that quantum error correction can be beneficial and highlight the factors which need to be improved so one can reliably reach the Heisenberg limit level precision.
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QC still presents technological limitations, especially noise and limited error correction.
“However, QC still presents some technological limitations, as reported in [12] with a special concern with noise and limited error correction.”
From On Circuit-Based Hybrid Quantum Neural Networks for Remote Sensing Imagery Classification (2022) · cites this paper as [12]
Cites
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Good quantum error-correcting codes exist
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Improvement of Frequency Standards with Quantum Entanglement
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General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
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Fisher information and multiparticle entanglement
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“In fact quantum resources allows one to reach a level of precision not possible in the classical situation [2, 20, 21, 23].”
BackgroundImproved Quantum Magnetometry beyond the Standard Quantum Limit
Brask, J. B., Chaves, R., & Kołodyński, J. (2015) · Physical Review X · doi:10.1103/physrevx.5.031010 · Cited by 99 · see citing works
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On Circuit-Based Hybrid Quantum Neural Networks for Remote Sensing Imagery Classification
Sebastianelli, A., Zaidenberg, D. A., Spiller, D., Le Saux, B., & Ullo, S. (2022) · IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing · doi:10.1109/jstars.2021.3134785 · Cited by 162 · see citing works
- Authors
- Shettell, N., Munro, W. J., Markham, D., & Nemoto, K.
- Affiliations
- Centre National de la Recherche Scientifique (FR)
- National Institute of Informatics (JP)
- Corresponding author
- Shettell, Nathan
- Venue
- New Journal of Physics
- Publisher
- IOP Publishing
- Published
- 2021-04-01
- Volume
- 23
- Issue
- 4
- Pages
- 043038
- ISSN
- 1367-2630 (ISSN-L)
- OpenAlex
- W3118345746
- Cited by
- 23
- References
- 7
- Citations by year
- 2026: 2 · 2025: 3 · 2024: 5 · 2023: 6 · 2022: 5 · 2021: 2
- FWCI
- 1.59
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- New Journal of Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- arXiv (Cornell University) (cc-by)
- Funders
- ANR (ANR-17-CE24-0035 VanQuTe)
- 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 error correction, quantum metrology, Heisenberg limit, noise mitigation, precision measurement, quantum sensing
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