A HIDDEN MEASUREMENT REPRESENTATION FOR QUANTUM ENTITIES DESCRIBED BYFINITE-DIMENSIONAL COMPLEX HILBERT-SPACES

Authors
Citation
B. Coecke, A HIDDEN MEASUREMENT REPRESENTATION FOR QUANTUM ENTITIES DESCRIBED BYFINITE-DIMENSIONAL COMPLEX HILBERT-SPACES, Foundations of physics, 25(8), 1995, pp. 1185-1208
Citations number
22
Categorie Soggetti
Physics
Journal title
ISSN journal
00159018
Volume
25
Issue
8
Year of publication
1995
Pages
1185 - 1208
Database
ISI
SICI code
0015-9018(1995)25:8<1185:AHMRFQ>2.0.ZU;2-G
Abstract
It will be shown that the probability calculus of a quantum mechanical entity can he obtained in a deterministic framework, embedded in a re al space, by introducing a lack of knowledge in the measurements on th at entity. For all n epsilon N toe propose an explicit model in R(n3), which entails a representation for a quantum entity described by an n -dimensional complex Hilbert space H-n, namely, the ''H-n Euclidean hi dden measurement representation.'' This Euclidean hidden measurement r epresentation is also in a more general sense equivalent with the orth odox Hilbert space formulation of quantum mechanics, since every mathe matical ingredient of ordinary quantum mechanics can easily be transla ted into the framework of these repesentations.