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19 April 2024

» arxiv » quant-ph/0111074

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A mechanistic macroscopic physical entity with a three-dimensional Hilbert space description
Diederik Aerts ; Bob Coecke ; Bart D’Hooghe ; Frank Valckenborgh ;
Date:	13 Nov 2001
Journal:	Helvetica Physica Acta, 70, 793, 1997
Subject:	quant-ph
Abstract:	It is sometimes stated that Gleason’s theorem prevents the construction of hidden-variable models for quantum entities described in a more than two-dimensional Hilbert space. In this paper however we explicitly construct a classical (macroscopical) system that can be represented in a three-dimensional real Hilbert space, the probability structure appearing as the result of a lack of knowledge about the measurement context. We briefly discuss Gleason’s theorem from this point of view.
Source:	arXiv, quant-ph/0111074
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