Published September 2007
| Version v1
Journal article
Incomplete Kochen-Specker coloring
Creators
- 1. Department of Mathematics, Stockholm University, SE-10691 Stockholm (Sweden) and Department of Physics, Stockholm University, SE-10691 Stockholm (Sweden)
Description
A particular incomplete Kochen-Specker coloring, suggested by Appleby [Stud. Hist. Philos. Mod. Phys. 36, 1 (2005)] in dimension three, is generalized to arbitrary dimension. We investigate its effectivity as a function of dimension, using two different measures. A limit is derived for the fraction of the sphere that can be colored using the generalized Appleby construction as the number of dimensions approaches infinity. The second, and physically more relevant measure of effectivity, is to look at the fraction of properly colored ON bases. Using this measure, we derive a ''lower bound for the upper bound'' in three and four real dimensions
Additional details
Identifiers
- DOI
- 10.1063/1.2779764;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 48
- Journal Issue
- 9
- Journal Page Range
- p. 092101-092101.9
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39035817
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- HILBERT SPACE; QUANTUM MECHANICS; SPHERES
- Descriptors DEC
- BANACH SPACE; MATHEMATICAL SPACE; MECHANICS; SPACE
Optional Information
- Notes
- (c) 2007 American Institute of Physics