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International Journal of Modern Physics B Vol. 20, Nos. 11, 12 & 13 (2006) 1711-1729
 

Summary: International Journal of Modern Physics B
Vol. 20, Nos. 11, 12 & 13 (2006) 1711-1729
World Scientific Publishing Company
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QUANTUM KALEIDOSCOPES AND BELL'S THEOREM
P. K. ARAVIND
Physics Department, Worcester Polytechnic Institute, Worcester, MA 01609
paravind@wpi.edu
Received 19 December 2005
A quantum kaleidoscope is defined as a set of observables, or states, consisting of many different
subsets that provide closely related proofs of the Bell-Kochen-Specker (BKS) and Bell nonlocality
theorems. The kaleidoscopes prove the BKS theorem through a simple parity argument, which also
doubles as a proof of Bell's nonlocality theorem if use is made of the right sort of entanglement.
Three closely related kaleidoscopes are introduced and discussed in this paper: a IS-observable
kaleidoscope, a 24-state kaleidoscope and a 60-state kaleidoscope. The close relationship of these
kaleidoscopes to a configuration of 12 points and 16 lines known as Reye's configuration is pointed
out. The "rotations" needed to make each kaleidoscope yield all its apparitions are laid out The 60-
state kaleidoscope, whose underlying geometrical strocture is that of ten interlinked Reyes'

  

Source: Aravind, Padmanabhan K. - Department of Physics, Worcester Polytechnic Institute

 

Collections: Physics