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Another No-go Theorem for Hidden Variable Models of Inaccurate Spin 1 Measurements

Published online by Cambridge University Press:  01 January 2022

Thomas Breuer
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Abstract

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. A no-go theorem for hidden variable models of the inaccurate measurement statistics follows: There is a finite set of directions for which not all results of inaccurate spin measurements can be predetermined in a non-contextual way. In contrast to an earlier theorem (Breuer 2002) this result does not rely on the assigment of approximate truth values, and it holds under weaker assumptions on the measurement inaccuracy.

Type
Quantum Field Theory, Bell's Theorem, and Hidden Variables
Information
Philosophy of Science , Volume 70 , Issue 5: Proceedings of the 2002 Biennial Meeting of The Philosophy of Science Association. Part I: Contributed Papers , December 2003 , pp. 1368 - 1379
Copyright
Copyright © The Philosophy of Science Association

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