A No-Go Theorem for Hidden Variable Models of Inaccurate Spin Measurements

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Breuer, Thomas
preprint description
Uncertainty about the actual orientation of the measurement device has been claimed to open a loophole for hidden variable models of quantum mechanics. In this paper I describe the statistics of inaccurate spin measurements by unsharp spin observables. If the inaccuracy is below a certain level, a no-go theorem for hidden variable models of the inaccurate measurement statistics 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.