The DOI matches its Crossref record; 28 of the 28 references it cites were found in a registry or an index.
Characterizing Entanglement via Uncertainty Relations
Open accessAbstract
We derive a family of necessary separability criteria for finite-dimensional systems based on inequalities for variances of observables. We show that every pure bipartite entangled state violates some of these inequalities. Furthermore, a family of bound entangled states and true multipartite entangled states can be detected. The inequalities also allow us to distinguish between different classes of true tripartite entanglement for qubits. We formulate an equivalent criterion in terms of covariance matrices. This allows us to apply criteria known from the regime of continuous variables to finite-dimensional systems.
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Cites
Separability of mixed states: necessary and sufficient conditions
Horodecki, M., Horodecki, P., & Horodecki, R. (1996) · Physics Letters A · doi:10.1016/s0375-9601(96)00706-2 · Cited by 3,649
Three qubits can be entangled in two inequivalent ways
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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
Exponential Operators and Parameter Differentiation in Quantum Physics
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Demonstration of the Einstein-Podolsky-Rosen paradox using nondegenerate parametric amplification
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Bell inequalities and the separability criterion
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Unextendible Product Bases and Bound Entanglement
Bennett, C. H., DiVincenzo, D. P., Mor, T., Shor, P. W., Smolin, J. A., & Terhal, B. M. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.5385 · Cited by 727
Optimization of entanglement witnesses
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Entangling Macroscopic Oscillators Exploiting Radiation Pressure
Mancini, S., Giovannetti, V., Vitali, D., & Tombesi, P. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.120401 · Cited by 615
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
Entanglement in many-body systems
Amico, L., Fazio, R., Osterloh, A., & Vedral, V. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.517 · Cited by 3,745
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Self-citationExperimental criteria for steering and the Einstein-Podolsky-Rosen paradox
Cavalcanti, E. G., Jones, S. J., Wiseman, H. M., & Reid, M. D. (2009) · Physical Review A · doi:10.1103/physreva.80.032112 · Cited by 608
Multipartite entanglement and high-precision metrology
Tóth, G. (2012) · Physical Review A · doi:10.1103/physreva.85.022322 · Cited by 560
Metadata
- Authors
- Gühne, O.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2004-03-18
- Volume
- 92
- Issue
- 11
- Pages
- 117903-117903
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1574947529
- Cited by
- 296
- References
- 28
- FWCI
- 16.95
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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