The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
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]
In the citing paper
“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
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
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Entanglement of Formation of an Arbitrary State of Two Qubits
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Briegel, H.-J., Dür, W., Cirac, J. I., & Zoller, P. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.5932 · Cited by 3,481
Self-citationPurification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
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Observation of Three-Photon Greenberger-Horne-Zeilinger Entanglement
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Quantum repeaters based on entanglement purification
Dür, W., Briegel, H.-J., Cirac, J. I., & Zoller, P. (1999) · Physical Review A · doi:10.1103/physreva.59.169 · Cited by 721
Self-citationVidal, G., & Tarrach, R. (1999) · Physical Review A · doi:10.1103/physreva.59.141 · Cited by 601
Self-citationBell's Inequalities and Density Matrices: Revealing “Hidden” Nonlocality
Popescu, S. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.2619 · Cited by 441
Inseparable Two Spin-12Density Matrices Can Be Distilled to a Singlet Form
Horodecki, M., Horodecki, P., & Horodecki, R. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.574 · Cited by 402
Bound entanglement can be activated
Horodecki, P., Horodecki, M., & Horodecki, R. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.1056 · Cited by 399
Multiparticle entanglement purification protocols
Murao, M., Plenio, M. B., Popescu, S., Vedral, V., & Knight, P. L. (1998) · Physical Review A · doi:10.1103/physreva.57.r4075 · Cited by 244
Ideal Quantum Communication over Noisy Channels: A Quantum Optical Implementation
van Enk, S. J., Cirac, J. I., & Zoller, P. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.4293 · Cited by 222
Self-citationPhotonic Channels for Quantum Communication
van Enk, S. J., Cirac, J. I., & Zoller, P. (1998) · Science · doi:10.1126/science.279.5348.205 · Cited by 191
Self-citation
Research works printed but not linked: 1
- J. S. Bell, 1964, Physics (Long Island City, N.Y.), 1, 195
Cited by
Sorted by citations
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Computable measure of entanglement
Vidal, G., & Werner, R. F. (2002) · Physical Review A · doi:10.1103/physreva.65.032314 · Cited by 5,006
Quantum information with continuous variables
Braunstein, S. L., & van Loock, P. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.513 · Cited by 3,858
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Persistent Entanglement in Arrays of Interacting Particles
Briegel, H. J., & Raussendorf, R. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.910 · Cited by 1,950
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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