The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
Violation of local uncertainty relations as a signature of entanglement
Open accessAbstract
Entangled states represent correlations between two separate systems that are too precise to be represented by products of local quantum states. We show that this limit of precision for the local quantum states of a pair of N-level systems can be defined by an appropriate class of uncertainty relations. The violation of such local uncertainty relations may be used as an experimental test of entanglement generation.
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Cites
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
Einstein, A., Podolsky, B., & Rosen, N. (1935) · Physical Review · doi:10.1103/physrev.47.777 · Cited by 16,654
Entanglement of Formation of an Arbitrary State of Two Qubits
Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290
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
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
Die gegenw�rtige Situation in der Quantenmechanik
Schr�dinger, E. (1935) · Die Naturwissenschaften · doi:10.1007/bf01491891 · Cited by 3,392
Entanglement of the orbital angular momentum states of photons
Mair, A., Vaziri, A., Weihs, G., & Zeilinger, A. (2001) · Nature · doi:10.1038/35085529 · Cited by 3,321
Entanglement of a pair of quantum bits
Hill, S., & Wootters, W. K. (1997) · Physical Review Letters · doi:10.1103/physrevlett.78.5022 · Cited by 2,823
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
Violation of Bell's Inequality under Strict Einstein Locality Conditions
Weihs, G., Jennewein, T., Simon, C., Weinfurter, H., & Zeilinger, A. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.5039 · Cited by 1,643
Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit
Boto, A. N., Kok, P., Abrams, D. S., Braunstein, S. L., Williams, C. P., & Dowling, J. P. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.2733 · Cited by 1,517
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
Using measurement-induced disturbance to characterize correlations as classical or quantum
Luo, S. (2008) · Physical Review A · doi:10.1103/physreva.77.022301 · Cited by 667
Experimental 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
- Hofmann, H. F., & Takeuchi, S.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2003-09-22
- Volume
- 68
- Issue
- 3
- Pages
- 032103-032103-6
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2028549339
- Cited by
- 398
- References
- 26
- FWCI
- 13.07
- Type
- journal article
- Language
- en
- Open access
- bronze
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
