The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Characterization of separable states and entanglement witnesses
Open accessAbstract
We provide a canonical form of mixed states in bipartite quantum systems in terms of a convex combination of a separable state and a so-called edge state. We construct entanglement witnesses for all edge states, which allows us to introduce a canonical form of nondecomposable entanglement witnesses and the corresponding positive maps. We also present a nontrivial necessary condition for entanglement witnesses and positive maps to be extremal.
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Cites
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1895 · Cited by 13,703
Quantum cryptography based on Bell’s theorem
Ekert, A. K. (1991) · Physical Review Letters · doi:10.1103/physrevlett.67.661 · Cited by 10,777
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
Werner, R. F. (1989) · Physical Review A · doi:10.1103/physreva.40.4277 · Cited by 4,062
Linear transformations which preserve trace and positive semidefiniteness of operators
Jamiołkowski, A. (1972) · Reports on Mathematical Physics · doi:10.1016/0034-4877(72)90011-0 · Cited by 1,512
Quantum computation and Shor's factoring algorithm
Ekert, A., & Jozsa, R. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.733 · Cited by 1,354
Optimization of entanglement witnesses
Lewenstein, M., Kraus, B., Cirac, J. I., & Horodecki, P. (2000) · Physical Review A · doi:10.1103/physreva.62.052310 · Cited by 684
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Cited by
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Self-citationGühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Research on hidden variable theories: A review of recent progresses
GENOVESE, M. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.03.003 · Cited by 477
Minimal universal two-qubit controlled-NOT-based circuits
Shende, V. V., Markov, I. L., & Bullock, S. S. (2004) · Physical Review A · doi:10.1103/physreva.69.062321 · Cited by 288
Universal observable detecting all two-qubit entanglement and determinant-based separability tests
Augusiak, R., Demianowicz, M., & Horodecki, P. (2008) · Physical Review A · doi:10.1103/physreva.77.030301 · Cited by 89
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Metadata
- Authors
- Lewenstein, M., Kraus, B., Horodecki, P., & Cirac, J. I.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2001-03-20
- Volume
- 63
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1970540131
- Cited by
- 181
- References
- 6
- FWCI
- 10.51
- Type
- journal article
- Language
- en
- Open access
- green
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