A REPRESENTATION FOR COMPOUND QUANTUM-SYSTEMS AS INDIVIDUAL ENTITIES - HARD ACTS OF CREATION AND HIDDEN CORRELATIONS

Authors
Citation
B. Coecke, A REPRESENTATION FOR COMPOUND QUANTUM-SYSTEMS AS INDIVIDUAL ENTITIES - HARD ACTS OF CREATION AND HIDDEN CORRELATIONS, Foundations of physics, 28(7), 1998, pp. 1109-1135
Citations number
38
Categorie Soggetti
Physics
Journal title
ISSN journal
00159018
Volume
28
Issue
7
Year of publication
1998
Pages
1109 - 1135
Database
ISI
SICI code
0015-9018(1998)28:7<1109:ARFCQA>2.0.ZU;2-C
Abstract
We introduce an explicit definition for ''hidden correlations'' on ind ividual entities in a compound system: when one individual entity is m easured this induces a well defined transition of the ''proper state'' of the other individual entities. We prove that every compound quantu m system described in the tensor product of a finite number of Hilbert spaces can be uniquely represented as a collection of individual enti ties between which there exist such hidden correlations. TR investigat e the significance of these hidden correlation representations within Aerts' creation discovery approach and in particular their compatibili ty with the hidden measurement formalism. This leads us to the introdu ction of the notions of ''soft'' and ''hard'' ''acts of creation'' and to the observation that our approach can he seen as a theory of indiv iduals when it is compared to the standard quantum theory.