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New Kochen-Specker sets in four dimensions |
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| Authors: | Mladen Pavi?i? Norman D. Megill |
| Affiliation: | a Chair of Physics, Faculty of Civil Engineering, University of Zagreb, Croatia b Boston Information Group, 19 Locke Ln., Lexington, MA 02420, USA c INRIA, projet COPRIN: 06902 Sophia Antipolis Cedex, France |
| 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. |
| Keywords: | Kochen-Specker sets MMP diagrams Lattice theory |
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