The DOI matches its Crossref record; 27 of the 27 references it cites were found in a registry or an index.
Entanglement, Nonlinear Dynamics, and the Heisenberg Limit
Open accessAbstract
We show that quantum Fisher information provides a sufficient condition to recognize multiparticle entanglement in an N qubit state. The same criterion gives a necessary and sufficient condition for sub-shot-noise phase sensitivity in the estimation of a collective rotation angle theta. The analysis therefore singles out the class of entangled states which are useful to overcome classical phase sensitivity in metrology and sensors. We finally study the creation of useful entangled states by the nonlinear dynamical evolution of two decoupled Bose-Einstein condensates or trapped ions.
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“This is a result that is now firmly established [33, 36] and that comes out in a rather natural fashion within this new framework.”
From Quantum Speed Limits in Open System Dynamics (2013) · cites this paper as [36]
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“For pure states, it has been shown (e.g., by Refs. [15, 21, 22]) that equality holds if and only if the initial state is an equally weighted superposition of exactly two eigenstates of H .”
From Kind of entanglement that speeds up quantum evolution (2012) · cites this paper as [22]
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“All three approaches, therefore, have the common lower bound (2).”
From Kind of entanglement that speeds up quantum evolution (2012) · cites this paper as [22]
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Cites
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Peres, A. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.1413 · Cited by 5,191
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Leibfried, D., DeMarco, B., Meyer, V., Lucas, D., Barrett, M., Britton, J., Itano, W. M., Jelenković, B., Langer, C., Rosenband, T., et al. (2003) · Nature · doi:10.1038/nature01492 · Cited by 1,083
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Colloquium : Quantum coherence as a resource
Streltsov, A., Adesso, G., & Plenio, M. B. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.041003 · Cited by 1,878
Quantum metrology with nonclassical states of atomic ensembles
Pezzè, L., Smerzi, A., Oberthaler, M. K., Schmied, R., & Treutlein, P. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.035005 · Cited by 1,864
Self-citationNonlinear atom interferometer surpasses classical precision limit
Gross, C., Zibold, T., Nicklas, E., Estève, J., & Oberthaler, M. K. (2010) · Nature · doi:10.1038/nature08919 · Cited by 932
Atom-chip-based generation of entanglement for quantum metrology
Riedel, M. F., Böhi, P., Li, Y., Hänsch, T. W., Sinatra, A., & Treutlein, P. (2010) · Nature · doi:10.1038/nature08988 · Cited by 887
Quantum metrology from a quantum information science perspective
Tóth, G., & Apellaniz, I. (2014) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/47/42/424006 · Cited by 862
Metadata
- Authors
- Pezzé, L., & Smerzi, A.
- Affiliations
- University of Trento (IT)
- ORCID
- Smerzi, Augusto
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-03-10
- Volume
- 102
- Issue
- 10
- Pages
- 100401-100401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2025363053
- Cited by
- 880
- References
- 27
- Citations by year
- 2026: 49 · 2025: 66 · 2024: 62 · 2023: 56 · 2022: 61 · 2021: 67 · 2020: 59 · 2019: 47 · 2018: 57 · 2017: 56 · 2016: 60 · 2015: 45 · 2014: 56 · 2013: 38 · 2012: 46
- FWCI
- 36.17
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion, other-oa)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › 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
- quantum Fisher information, multipartite entanglement, Heisenberg limit, quantum metrology, nonlinear dynamics, entanglement generation, Bose-Einstein condensate, trapped ions, quantum sensing
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