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Quantum Physics

Title: Finite precision measurement nullifies the Kochen-Specker theorem

Authors: David A. Meyer (University of California/San Diego)
Abstract: 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.
Comments: 7 pages, plain TeX; minor corrections, interpretation clarified, references updated
Subjects: Quantum Physics (quant-ph); Mathematical Physics (math-ph)
Journal reference: Phys.Rev.Lett. 83 (1999) 3751-3754
Cite as: arXiv:quant-ph/9905080v2

Submission history

From: David Meyer [view email]
[v1] Mon, 24 May 1999 21:57:07 GMT (11kb)
[v2] Mon, 20 Sep 1999 19:05:02 GMT (11kb)