Affordable Access

Pentagrams and paradoxes

Authors
  • Badziag, Piotr
  • Bengtsson, Ingemar
  • Cabello, Adan
  • Granstrom, Helena
  • Larsson, Jan-Ake
Type
Published Article
Publication Date
Sep 25, 2009
Submission Date
Sep 25, 2009
Source
arXiv
License
Yellow
External links

Abstract

Klyachko and coworkers consider an orthogonality graph in the form of a pentagram, and in this way derive a Kochen-Specker inequality for spin 1 systems. In some low-dimensional situations Hilbert spaces are naturally organised, by a magical choice of basis, into SO(N) orbits. Combining these ideas some very elegant results emerge. We give a careful discussion of the pentagram operator, and then show how the pentagram underlies a number of other quantum "paradoxes", such as that of Hardy.

Report this publication

Statistics

Seen <100 times