A mechanistic macroscopical physical entity with a three dimensional Hilbert space quantum description

Diederik Aerts, Bob Coecke, Bart D'Hooghe, Frank Valckenborgh

Research output: Contribution to journalArticlepeer-review

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 (macroscopic) 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
Original languageEnglish
Pages (from-to)793-802
Number of pages10
JournalHelvetica Physica Acta
Volume70
Publication statusPublished - 1997
Externally publishedYes

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