dorsal/arxiv
View SchemaThe Conflict between Bell-Zukowski Inequality and Bell-Mermin Inequality
| Authors | Koji Nagata, Jaewook Ahn |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302090 |
| URL | https://arxiv.org/abs/quant-ph/0302090 |
| DOI | 10.1142/S0217732308028727 |
| Journal | Mod. Phys. Lett. A 23, 2967 (2008) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We consider a two-particle/two-setting Bell experiment to visualize the conflict between Bell-\.Zukowski inequality and Bell-Mermin inequality. The experiment is reproducible by local realistic theories which are not rotationally invariant. We found that the average value of the Bell-\.Zukowski operator can be evaluated only by the two-particle/two-setting Bell experiment in question. The Bell-\.Zukowski inequality reveals that the constructed local realistic models for the experiment are not rotationally invariant. That is, the two-particle Bell experiment in question reveals the conflict between Bell-\.Zukowski inequality and Bell-Mermin inequality. Our analysis has found the threshold visibility for the two-particle interference to reveal the conflict noted above. It is found that the threshold visibility agrees with the value to obtain a violation of the Bell-\.Zukowski inequality.
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"abstract": "We consider a two-particle/two-setting Bell experiment to visualize the\nconflict between Bell-\\.Zukowski inequality and Bell-Mermin inequality. The\nexperiment is reproducible by local realistic theories which are not\nrotationally invariant. We found that the average value of the Bell-\\.Zukowski\noperator can be evaluated only by the two-particle/two-setting Bell experiment\nin question. The Bell-\\.Zukowski inequality reveals that the constructed local\nrealistic models for the experiment are not rotationally invariant. That is,\nthe two-particle Bell experiment in question reveals the conflict between\nBell-\\.Zukowski inequality and Bell-Mermin inequality. Our analysis has found\nthe threshold visibility for the two-particle interference to reveal the\nconflict noted above. It is found that the threshold visibility agrees with the\nvalue to obtain a violation of the Bell-\\.Zukowski inequality.",
"arxiv_id": "quant-ph/0302090",
"authors": [
"Koji Nagata",
"Jaewook Ahn"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0217732308028727",
"journal_ref": "Mod. Phys. Lett. A 23, 2967 (2008)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "The Conflict between Bell-Zukowski Inequality and Bell-Mermin Inequality",
"url": "https://arxiv.org/abs/quant-ph/0302090"
},
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