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Inseparability Criteria for Continuous Bipartite Quantum States
Open accessAbstract
We provide necessary and sufficient conditions for the partial transposition of bipartite harmonic quantum states to be nonnegative. The conditions are formulated as an infinite series of inequalities for the moments of the state under study. The violation of any inequality of this series is a sufficient condition for entanglement. Previously known entanglement conditions are shown to be special cases of our approach.
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Citations
Cites
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
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Continuous Variable Quantum Information: Gaussian States and Beyond
Adesso, G., Ragy, S., & Lee, A. R. (2014) · Open Systems & Information Dynamics · doi:10.1142/s1230161214400010 · Cited by 787
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
Taming Multiparticle Entanglement
Jungnitsch, B., Moroder, T., & Gühne, O. (2011) · Physical Review Letters · doi:10.1103/physrevlett.106.190502 · Cited by 326
Metadata
- Authors
- Shchukin, E., & Vogel, W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2005-11-28
- Volume
- 95
- Issue
- 23
- Pages
- 230502-230502
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1847685889
- Cited by
- 353
- References
- 2
- FWCI
- 30.57
- Type
- journal article
- Language
- en
- Open access
- green
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