Finite precision measurement nullifies the Kochen-Specker theorem

Details Finite precision measurement nullifies the Kochen-Specker theorem Finite precision measurement nullifies the Kochen-Specker theorem

1999-05-24

arxiv.org/abs/quant-ph/9905080v2

Phys.Rev.Lett.83:3751-3754,1999

Physics

Quantum Physics

7 pages, plain TeX; minor corrections, interpretation clarified, references updated

Scientific paper

10.1103/PhysRevLett.83.3751

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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