Title




Nonbicolourable finite configurations of rays and their deformations


Author






Abstract




A new infinite family of examples of finite nonbicolourable configurations of rays in Hilbert space is described. Such configurations appear in the analysis of quantum mechanics in terms of Bell's inequalities and the KochenSpecker theorem and illustrate that there is no measurable space in the background of the probability model of a quantum system. The mentioned examples are naturally parametrized by a positive integer divisible by 4 and by several complexvalued parameters, whose number depends on this integer. In order to compare two configurations with the same number of rays, a notion of deformation of a configuration is introduced. The constructed examples are then interpreted as obtained by way of deformations. 


Language




English


Source (journal)




Journal of physics: A: mathematical and general.  London, 1968  2006


Publication




London
:
2006


ISSN




03054470


Volume/pages




39
:10
(2006)
, p. 24572476


ISI




000236776000015


Full text (Publisher's DOI)





