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Cited by 279Quantum Information and CryptographyQuantum Mechanics and ApplicationsQuantum many-body systems

Separability and Distillability of Multiparticle Quantum Systems

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Dür, W., Cirac, J. I., Tarrach, R.·1999·Physical Review Letters
DOI 10.1103/physrevlett.83.3562
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Abstract

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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Crossref · 10.1103/physrevlett.83.3562

Cites

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  • The Schmidt measure of |W_N〉 is log2(N).

    “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]

  • Any state obtained from |W_N〉 by tracing over N-2 qubits is inseparable.

    “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]

  • The 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.

    “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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Cites

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Research works printed but not linked: 20

  1. J. S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964).
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  13. S. J. van Enk, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 78, 4293 (1997);
  14. S. J. van Enk, J. I. Cirac, and P. Zoller, Science 279, 205 (1998).
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  20. C. H. Bennett et al., Phys. Rev. Lett. 82, 5385 (1999).

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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
DOI
10.1103/physrevlett.83.3562
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
Licence
link.aps.org/licenses/aps-default-license (vor)
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 › 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
separability, distillability, depolarization, non-separability, quantum entanglement, quantum state classification

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