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Bell Inequalities for Arbitrarily High-Dimensional Systems
Open accessAbstract
We develop a novel approach to Bell inequalities based on a constraint that the correlations exhibited by local variable theories must satisfy. This is used to construct a family of Bell inequalities for bipartite quantum systems of arbitrarily high dimensionality which are strongly resistant to noise. In particular, our work gives an analytic description of previous numerical results and generalizes them to arbitrarily high dimensionality.
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Cites
Proposed Experiment to Test Local Hidden-Variable Theories
Clauser, J. F., Horne, M. A., Shimony, A., & Holt, R. A. (1969) · Physical Review Letters · doi:10.1103/physrevlett.23.880 · Cited by 7,573
Cited by
Brunner, N., Cavalcanti, D., Pironio, S., Scarani, V., & Wehner, S. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.419 · Cited by 2,688
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
On-chip generation of high-dimensional entangled quantum states and their coherent control
Kues, M., Reimer, C., Roztocki, P., Cortés, L. R., Sciara, S., Wetzel, B., Zhang, Y., Cino, A., Chu, S. T., Little, B. E., et al. (2017) · Nature · doi:10.1038/nature22986 · Cited by 1,177
Multidimensional quantum entanglement with large-scale integrated optics
Wang, J., Paesani, S., Ding, Y., Santagati, R., Skrzypczyk, P., Salavrakos, A., Tura, J., Augusiak, R., Mančinska, L., Bacco, D., et al. (2018) · Science · doi:10.1126/science.aar7053 · Cited by 816
Experimental Two-Photon, Three-Dimensional Entanglement for Quantum Communication
Vaziri, A., Weihs, G., & Zeilinger, A. (2002) · Physical Review Letters · doi:10.1103/physrevlett.89.240401 · Cited by 638
Metadata
- Authors
- Collins, D., Gisin, N., Linden, N., Massar, S., & Popescu, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-01-10
- Volume
- 88
- Issue
- 4
- Pages
- 040404-040404
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2160819312
- Cited by
- 981
- References
- 1
- FWCI
- 16.79
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Collins, D., Gisin, N., Linden, N., Massar, S., & Popescu, S. (2002). Bell Inequalities for Arbitrarily High-Dimensional Systems. Physical Review Letters. https://doi.org/10.1103/physrevlett.88.040404
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