Finite Precision Measurement Nullifies The Kochen-Specker Theorem (1999)
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@MISC{Meyer99finiteprecision,
author = {David Meyer},
title = {Finite Precision Measurement Nullifies The Kochen-Specker Theorem},
year = {1999}
}
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Abstract
The three eigenvectors of a measurement specified with only experimentally reasonable finite precision are indistinguishable from a triad of rational vectors in S 2 . We show that the rational vectors 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. 1999 Physics and Astronomy Classification Scheme: 03.65.Bz, 03.67.Hk, 03.67.Lx. American Mathematical Society Subject Classification: 81P10, 03G12, 68Q15. Key Words: quantum computation, Kochen-Specker theorem, hidden variable theories, quantum communication complexity. Finite precision nullifies the K-S theorem David A. Meyer Recent theoretical and experimental work on quantum computation and quantum information theory has inspired renewed interest in fundamental results of qu...
