Inseparability Criterion for Continuous Variable Systems
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An inseparability criterion based on the total variance of a pair of Einstein-Podolsky-Rosen type operators is proposed for continuous variable systems. The criterion provides a sufficient condition for entanglement of any two-party continuous variable states. Furthermore, for all Gaussian states, this criterion turns out to be a necessary and sufficient condition for inseparability.
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In steady state, none of the approaches generate entanglement; the two-mode Gaussian state is separable according to the separability criterion for continuous variable systems.
“It should be noted that in steady state none of the approaches generate entanglement.The two-mode Gaussian state is a separable state according to the separability criterion for continuous variable systems [22,23].”
From The local approach to quantum transport may violate the second law of thermodynamics (2014) · cites this paper as [23]
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- Authors
- Duan, L.-M., Giedke, G., Cirac, J. I., & Zoller, P.
- Affiliations
- University of Science and Technology of China (CN)
- Universität Innsbruck (AT)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2000-03-20
- Volume
- 84
- Issue
- 12
- Pages
- 2722-2725
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2106725754
- Cited by
- 2,064
- References
- 14
- Citations by year
- 2026: 50 · 2025: 110 · 2024: 71 · 2023: 73 · 2022: 97 · 2021: 100 · 2020: 114 · 2019: 94 · 2018: 68 · 2017: 83 · 2016: 87 · 2015: 89 · 2014: 71 · 2013: 82 · 2012: 64
- FWCI
- 55.80
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › 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 optics and atomic interactions
- Keywords
- continuous-variable systems, entanglement, total variance, Gaussian states, entanglement detection
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