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Hidden Measurements, Automorphisms, and Decompositions in Context-Dependent Components

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Abstract

We investigate in which way the Hilbert spaceautomorphisms can be implemented on the level of Aerts'hidden measurement representations for measurements onphysical entities. Inspired by this, we propose a definition for a ‘decomposition incontext-dependent components’ in order to push theproperty structure of a physical entity on the level ofthe hidden measurements. We apply this definition withinthe framework of quantum mechanics and we prove theexistence of such a decomposition.

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Authors
  1. Bob Coecke
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  2. Frank Valckenborgh
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Coecke, B., Valckenborgh, F. Hidden Measurements, Automorphisms, and Decompositions in Context-Dependent Components. International Journal of Theoretical Physics 37, 311–321 (1998). https://doi.org/10.1023/A:1026674903488

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  • DOI: https://doi.org/10.1023/A:1026674903488

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