Kochen-Specker Theorem for Finite Precision Spin One Measurements

Abstract

Unsharp spin 1 observables arise from the fact that a residual uncertainty about the actual orientation of the measurement device remains. If the uncertainty is below a certain level, and if the distribution of measurement errors is covariant under rotations, a Kochen-Specker theorem for the unsharp spin observables follows: There are finite sets of directions such that not all the unsharp spin observables in these directions can consistently be assigned approximate truth-values in a non-contextual way.

4 pages

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• What makes quantum clicks special?
• Hypergraph Contextuality
• Noncontextuality, Finite Precision Measurement and the Kochen-Specker Theorem
• Measurement of a spin-1 system
• Contextuality, Witness of Quantum Weirdness
• Hidden variable problem for a family of continuously many spin 1 measurements