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Separability criterion and inseparable mixed states with positive partial transposition
Open accessAbstract
It is shown that any separable state on the Hilbert space 7-1= XI 8 l-t2 can be written as a convex combination of N pure product states with N < (dim’H)‘. Then a new separability criterion for mixed states in terms of the range of the density matrix is obtained. It is used in the construction of inseparable mixed states with positive partial transposition in the case of 3 x 3 and 2 x 4 systems. The states represent an entanglement which is hidden in a more subtle way than known so far. @ 1997 Published by Elsevier Science B.V.
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Cites
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
Compact Convex Sets and Boundary Integrals
Alfsen, E. M. (1971) · doi:10.1007/978-3-642-65009-3 · Cited by 821
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-citationComputable measure of entanglement
Vidal, G., & Werner, R. F. (2002) · Physical Review A · doi:10.1103/physreva.65.032314 · Cited by 4,896
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Peres-Horodecki Separability Criterion for Continuous Variable Systems
Simon, R. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.2726 · Cited by 2,245
Inseparability Criterion for Continuous Variable Systems
Duan, L.-M., Giedke, G., Cirac, J. I., & Zoller, P. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.2722 · Cited by 2,064
Metadata
- Authors
- Horodecki, P.
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 1997-08
- Volume
- 232
- Issue
- 5
- Pages
- 333-339
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2103713333
- Cited by
- 1,296
- References
- 2
- FWCI
- 22.82
- Type
- journal article
- Language
- en
- Open access
- green
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