New Kochen-Specker Sets in Four Dimensions
Quantum Physics
2010-04-20 v4
Abstract
We show that all possible 388 4-dim Kochen-Specker (KS) (vector) sets (of yes-no questions) with 18 through 23 vectors and 844 sets with 24 vectors all with component values from \{-1,0,1\} can be obtained by stripping vectors off a single system provided by Peres 20 years ago. In addition to them, we have found a number of other KS sets with 22 through 24 vectors. We present the algorithms we used and features we found, such as, for instance, that Peres' 24-24 KS set has altogether six critical KS subsets.
Cite
@article{arxiv.0910.1311,
title = {New Kochen-Specker Sets in Four Dimensions},
author = {Mladen Pavicic and Norman D. Megill and Jean-Pierre Merlet},
journal= {arXiv preprint arXiv:0910.1311},
year = {2010}
}
Comments
17 pages, 3 figures, 1 table; doi:10.1016/j.physleta.2010.03.019