New Kochen-Specker Sets in Four Dimensions

Details New Kochen-Specker Sets in Four Dimensions New Kochen-Specker Sets in Four Dimensions

2009-10-07

arxiv.org/abs/0910.1311v4

Physics letters A. 374 (2010) , 21; 2122-2128

Physics

Quantum Physics

17 pages, 3 figures, 1 table; doi:10.1016/j.physleta.2010.03.019

Scientific paper

10.1016/j.physleta.2010.03.019

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.

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