A 3D quantum configuration (Yu-Oh) is shown to need four colors in any consistent coloring even though every measurement context has three outcomes, giving a chromatic analogue of Kochen-Specker contextuality.
Finite precision measurement nullifies the Kochen-Specker theorem
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Only finite precision measurements are experimentally reasonable, and they cannot distinguish a dense subset from its closure. We show that the rational vectors, which are dense in S^2, can be colored so that the contradiction with hidden variable theories provided by Kochen-Specker constructions does not obtain. Thus, in contrast to violation of the Bell inequalities, no quantum-over-classical advantage for information processing can be derived from the Kochen-Specker theorem alone.
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Chromatic Quantum Contextuality
A 3D quantum configuration (Yu-Oh) is shown to need four colors in any consistent coloring even though every measurement context has three outcomes, giving a chromatic analogue of Kochen-Specker contextuality.