A Kochen-Specker Theorem for Unsharp Spin 1 Observables

Details A Kochen-Specker Theorem for Unsharp Spin 1 Observables A Kochen-Specker Theorem for Unsharp Spin 1 Observables

2002-03-20

arxiv.org/abs/quant-ph/0203103v1

pp. 195-203 in T.Placek and J. Butterfield (eds.): Non-locality and Modality, NATO Science Series, Kluwer Academic Publishers,

Physics

Quantum Physics

9 pages

Scientific paper

Unsharp spin observables are shown to arise from the fact that a residual uncertainty about the actual alignment of the measurement device remains. If the uncertainty is below a certain level, and if the distribution misalignments 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.

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