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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
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