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Separability and Distillability of Multiparticle Quantum Systems
Open accessAbstract
We present a family of 3-qubit states to which any arbitrary state can be depolarized. We fully classify those states with respect to their separability and distillability properties. This provides a sufficient condition for nonseparability and distillability for arbitrary states. We generalize our results to $N$-particle states.
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“The Schmidt measure of this state is equal to log 2 ( N )”
From Persistent Entanglement in Arrays of Interacting Particles (2001) · cites this paper as [3]
In the citing paper
“who showed that any state obtained from | W N 〉 by tracing over N -2 qubits is inseparable.”
From Persistent Entanglement in Arrays of Interacting Particles (2001) · cites this paper as [3]
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“In addition, this fragility of GHZ states was also observed in [86] by an analysis based on their separability and distillability properties [87,88] rather than a dynamical approach.”
From Measures and dynamics of entangled states (2005) · cites this paper as [87]
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Metadata
- Authors
- Dür, W., Cirac, J. I., & Tarrach, R.
- Affiliations
- Universität Innsbruck (AT)
- Universitat de Barcelona (ES)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-10-25
- Volume
- 83
- Issue
- 17
- Pages
- 3562-3565
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2045954942
- Cited by
- 279
- References
- 22
- Citations by year
- 2026: 3 · 2025: 8 · 2024: 7 · 2023: 8 · 2022: 4 · 2021: 12 · 2020: 9 · 2019: 12 · 2018: 5 · 2017: 9 · 2016: 8 · 2015: 9 · 2014: 7 · 2013: 8 · 2012: 9
- FWCI
- 17.80
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- RECERCAT (Consorci de Serveis Universitaris de Catalunya) (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Dipòsit Digital de la Universitat de Barcelona (Universitat de Barcelona) (submittedVersion, public-domain)
- Hispana (submittedVersion)
- arXiv (Cornell University)
- Funders
- Austrian Science Fund
- Universität Innsbruck
- 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
- separability, distillability, depolarization, non-separability, quantum entanglement, quantum state classification
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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