The Born Rule as Structure of Spectral Bundles

Bertfried Fauser, Guillaume Raynaud, Steven Vickers

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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Abstract

Topos approaches to quantum foundations are described in a unified way by means of spectral bundles, where the base space is a space of contexts and each fibre is its spectrum. Differences in variance are due to the bundle being a fibration or opfibration. Relative to this structure, the probabilistic predictions of the Born rule in finite dimensional settings are then described as a section of a bundle of valuations. The construction uses in an essential way the geometric nature of the valuation locale monad.
Original languageEnglish
Title of host publicationProceedings of the 8th International Workshop on Quantum Physics and Logic, Nijmegen 2011
EditorsBart Jacobs, Peter Selinger, Bas Spitters
Pages81-90
Number of pages10
Volume95
DOIs
Publication statusPublished - 2012

Publication series

NameEPTCS
Volume95
ISSN (Electronic)2075-2180

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