Multipartite entanglement and high-precision metrology
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We present several entanglement criteria in terms of the quantum Fisher information that help to relate various forms of multipartite entanglement to the sensitivity of phase estimation. We show that genuine multipartite entanglement is necessary to reach the maximum sensitivity in some very general metrological tasks using a two-arm linear interferometer. We also show that it is needed to reach the maximum average sensitivity in a certain combination of such metrological tasks.
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The general derivation considers a (linear) dynamical map that is trace preserving and completely positive (CPT) but not necessarily divisible.
“So far we have exploited specifically the fact that the system's dynamics is ruled by a Lindblad master equation. However, our general derivation considers a (linear) dynamical map that is trace preserving and completely positive (CPT) but not necessarily divisible [37].”
From Quantum Speed Limits in Open System Dynamics (2013) · cites this paper as [37]
The QFI connects to other aspects of quantum physics, such as quantum phase transition and entanglement witness.
“Apart from quantum metrology, the QFI also connects to other aspects of quantum physics, such as quantum phase transition [18][19][20] and entanglement witness [21,22].”
From Quantum Fisher information matrix and multiparameter estimation (2020) · cites this paper as [22]
Because QFI is a witness for multipartite entanglement and a large QFI can imply Bell correlations, equations (89) and (90) provide an experimentally-friendly way to witness quantum correlations in thermal systems.
“Furthermore, due to the fact that the QFI is a witness for multipartite entanglement [22], and a large QFI can imply Bell correlations [115], equations ( 89) and ( 90) provide an experimentally-friendly way to witness the quantum correlations in the thermal systems.”
From Quantum Fisher information matrix and multiparameter estimation (2020) · cites this paper as [22]
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- Authors
- Tóth, G.
- Affiliations
- Ikerbasque (ES)
- Corresponding author
- Tóth, Géza
- ORCID
- Tóth, Géza
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2012-02-16
- Volume
- 85
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2085200623
- Cited by
- 560
- References
- 63
- Citations by year
- 2026: 44 · 2025: 79 · 2024: 70 · 2023: 53 · 2022: 43 · 2021: 55 · 2020: 39 · 2019: 47 · 2018: 32 · 2017: 24 · 2016: 25 · 2015: 19 · 2014: 16 · 2013: 7 · 2012: 6
- FWCI
- 15.11
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- 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 many-body systems
- Keywords
- multipartite entanglement, genuine multipartite entanglement, quantum Fisher information, entanglement criteria, quantum metrology, phase estimation, average sensitivity
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