Angular EPR paradox

Details Angular EPR paradox Angular EPR paradox

2005-06-28

arxiv.org/abs/quant-ph/0506240v1

J. Mod. Opt., 53 5-6, 627 (April 2006)

Physics

Quantum Physics

21 pages, 9 figures, to be published in J. Mod. Opt. special issue on quantum imaging

Scientific paper

10.1080/009500340500227075

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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