The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
Bound Entangled Gaussian States
Open accessAbstract
We discuss the entanglement properties of bipartite states with Gaussian Wigner functions. For the separability, and the positivity of the partial transpose, we establish explicit necessary and sufficient criteria in terms of the covariance matrix of the state. It is shown that, for systems composed of a single oscillator for Alice and an arbitrary number for Bob, positivity of the partial transpose implies separability. However, this implication fails with two oscillators on each side, as we show by constructing a five parameter family of bound entangled Gaussian states.
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Cites
Probabilistic and Statistical Aspects of Quantum Theory
Holevo, A. (2011) · doi:10.1007/978-88-7642-378-9 · Cited by 2,582
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
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
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
Entanglement in continuous-variable systems: recent advances and current perspectives
Adesso, G., & Illuminati, F. (2007) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/40/28/s01 · Cited by 744
Detecting genuine multipartite continuous-variable entanglement
van Loock, P., & Furusawa, A. (2003) · Physical Review A · doi:10.1103/physreva.67.052315 · Cited by 473
Metadata
- Authors
- Werner, R. F., & Wolf, M. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-04-16
- Volume
- 86
- Issue
- 16
- Pages
- 3658-3661
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2030960102
- Cited by
- 459
- References
- 3
- FWCI
- 16.15
- Type
- journal article
- Language
- en
- Open access
- green
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