Incomplete Kochen-Specker coloring
2007 (English)In: Journal of Mathematical Physics, Vol. 48, no 9Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
2007. Vol. 48, no 9
IdentifiersURN: urn:nbn:se:su:diva-21646OAI: oai:DiVA.org:su-21646DiVA: diva2:188173