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How Reye's configuration helps in proving the Bell-Kochen-Specker theorem: a curious geometrical tale
 

Summary: 1
How Reye's configuration helps in proving the Bell-Kochen-Specker
theorem: a curious geometrical tale
P.K.Aravind#
Physics Department
Worcester Polytechnic Institute
Worcester, MA 01609
ABSTRACT
It is shown that the 24 quantum states or "rays" used by Peres (J. Phys. A24, 174-8
(1991)) to give a proof of the Bell-Kochen-Specker (BKS) theorem have a close
connection with Reye's configuration, a system of twelve points and sixteen lines known to
projective geometers for over a century. The interest of this observation stems from the
fact that it provides a ready explanation for many of the regularities exhibited by the Peres
rays and also permits a systematic construction of all possible non-coloring proofs of the
BKS theorem based on these rays. An elementary exposition of the connection between
the Peres rays and Reye's configuration is given, following which its applications to the
BKS theorem are discussed.
#
email: paravind@wpi.edu
2

  

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

 

Collections: Physics