Deriving Born's rule from an Inference to the Best Explanation
arXiv:1910.13738 · doi:10.1007/s10701-020-00326-8
Abstract
In previous articles we presented a simple set of axioms named Contexts, Systems and Modalities (CSM), where the structure of quantum mechanics appears as a result of the interplay between the quantized number of modalities accessible to a quantum system, and the continuum of contexts that are required to define these modalities. In the present article we discuss further how to obtain (or rather infer) Born's rule within this framework. Our approach is compared with other former and recent derivations, and its strong links with Gleason's theorem are particularly emphasized.
arXiv comment6 pages, 3 figures
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- Models for quantum measurement of particles with higher spin
- Quantum violation of the Suppes-Zanotti inequalities and "contextuality"
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- Revisiting Born's rule through Uhlhorn's and Gleason's theorems
- Gleason's Theorem for a Qubit as Part of a Composite System
- Dynamics of ideal quantum measurement of a spin 1 with a Curie-Weiss magnet