Pentagrams and paradoxes
Quantum Physics
2022-03-16 v1
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.
Cite
@article{arxiv.0909.4713,
title = {Pentagrams and paradoxes},
author = {Piotr Badziag and Ingemar Bengtsson and Adan Cabello and Helena Granstrom and Jan-Åke Larsson},
journal= {arXiv preprint arXiv:0909.4713},
year = {2022}
}
Comments
14 pages, 4 figures