Dada, A. C. and Andersson, E. (2011) On Bell inequality violations with high-dimensional systems. Internal Journal of Quantum Information, 9(07-08), pp. 1807-1823. (doi: 10.1142/S021974991100843X)
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Abstract
Quantum correlations resulting in violations of Bell inequalities have generated a lot of interest in quantum information science and fundamental physics. In this paper, we address some questions that become relevant in Bell-type tests involving systems with local dimension greater than 2. For CHSH-Bell tests within 2-dimensional subspaces of such high-dimensional systems, it has been suggested that experimental violation of Tsirelson's bound indicates that more than 2-dimensional entanglement was present. We explain that the overstepping of Tsirelson's bound is due to violation of fair sampling, and can in general be reproduced by a separable state, if fair sampling is violated. For a class of Bell-type inequalities generalized to d-dimensional systems, we then consider what level of violation is required to guarantee d-dimensional entanglement of the tested state, when fair sampling is satisfied. We find that this can be used as an experimentally feasible test of d-dimensional entanglement for up to quite high values of d.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Dada, Dr Adetunmise |
| Authors: | Dada, A. C., and Andersson, E. |
| College/School: | College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering |
| Journal Name: | Internal Journal of Quantum Information |
| Publisher: | World Scientific |
| ISSN: | 0219-7499 |
| ISSN (Online): | 1793-6918 |
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