Angular EPR paradox

J B Gotte, S Franke-Arnold, S M Barnett

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)627-645
Number of pages19
JournalJournal of Modern Optics
Issue number5-6
Publication statusPublished - 2006


  • podolsky-rosen paradox
  • uncertainty principle
  • light
  • orbital angular momentum


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