dorsal/arxiv
View SchemaAngular EPR paradox
| Authors | Joerg B Goette, Sonja Franke-Arnold, Stephen M. Barnett |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506240 |
| URL | https://arxiv.org/abs/quant-ph/0506240 |
| DOI | 10.1080/009500340500227075 |
| Journal | J. Mod. Opt., 53 5-6, 627 (April 2006) |
Abstract
The violation of local uncertainty relations is a valuable tool for detecting entanglement, especially in multi-dimensional systems. The orbital angular momentum of light provides such a multi-dimensional system. We study quantum correlations for the conjugate variables of orbital angular momentum and angular position. We determine an experimentally testable criterion for the demonstration of an angular version of the EPR paradox. For the interpretation of future experimental results from our proposed setup, we include a model for the indeterminacies inherent to the angular position measurement. For this measurement angular apertures are used to determine the probability density of the angle. We show that for a class of aperture functions a demonstration of an angular EPR paradox, according to our criterion, is to be expected.
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"abstract": "The violation of local uncertainty relations is a valuable tool for detecting\nentanglement, especially in multi-dimensional systems. The orbital angular\nmomentum of light provides such a multi-dimensional system. We study quantum\ncorrelations for the conjugate variables of orbital angular momentum and\nangular position. We determine an experimentally testable criterion for the\ndemonstration of an angular version of the EPR paradox. For the interpretation\nof future experimental results from our proposed setup, we include a model for\nthe indeterminacies inherent to the angular position measurement. For this\nmeasurement angular apertures are used to determine the probability density of\nthe angle. We show that for a class of aperture functions a demonstration of an\nangular EPR paradox, according to our criterion, is to be expected.",
"arxiv_id": "quant-ph/0506240",
"authors": [
"Joerg B Goette",
"Sonja Franke-Arnold",
"Stephen M. Barnett"
],
"categories": [
"quant-ph"
],
"doi": "10.1080/009500340500227075",
"journal_ref": "J. Mod. Opt., 53 5-6, 627 (April 2006)",
"title": "Angular EPR paradox",
"url": "https://arxiv.org/abs/quant-ph/0506240"
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