dorsal/arxiv
View SchemaMaximal violation of the CGLMP inequality for infinite dimensional states
| Authors | S. Zohren, R. D. Gill |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612020 |
| URL | https://arxiv.org/abs/quant-ph/0612020 |
| DOI | 10.1103/PhysRevLett.100.120406 |
| Journal | Phys. Rev. Lett. 100, 120406 (2008) |
Abstract
We present a much simplified version of the CGLMP inequality for the 2 x 2 x d Bell scenario. Numerical maximization of the violation of this inequality over all states and measurements suggests that the optimal state is far from maximally entangled, while the best measurements are the same as conjectured best measurements for the maximally entangled state. For very large values of d the inequality seems to reach its minimal value given by the probability constraints. This gives numerical evidence for a tight quantum Bell inequality (or generalized Csirelson inequality) for the 2 x 2 x inf scenario.
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"abstract": "We present a much simplified version of the CGLMP inequality for the 2 x 2 x\nd Bell scenario. Numerical maximization of the violation of this inequality\nover all states and measurements suggests that the optimal state is far from\nmaximally entangled, while the best measurements are the same as conjectured\nbest measurements for the maximally entangled state. For very large values of d\nthe inequality seems to reach its minimal value given by the probability\nconstraints. This gives numerical evidence for a tight quantum Bell inequality\n(or generalized Csirelson inequality) for the 2 x 2 x inf scenario.",
"arxiv_id": "quant-ph/0612020",
"authors": [
"S. Zohren",
"R. D. Gill"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.100.120406",
"journal_ref": "Phys. Rev. Lett. 100, 120406 (2008)",
"title": "Maximal violation of the CGLMP inequality for infinite dimensional states",
"url": "https://arxiv.org/abs/quant-ph/0612020"
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