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arXiv · 0910.1311

New Kochen-Specker Sets in Four Dimensions

Mladen Pavicic·Norman D. Megill·Jean-Pierre Merlet
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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.

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Mladen Pavicic, Norman D. Megill, Jean-Pierre Merlet. 2010-03-22. New Kochen-Specker Sets in Four Dimensions. https://doi.org/10.1016/j.physleta.2010.03.019

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