Geometric Quantization and Epistemically Restricted Theories: The Continuous Case

Autor: Ivan Contreras, Ali Nabi Duman
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Electronic Proceedings in Theoretical Computer Science, Vol 236, Iss Proc. QPL 2016, Pp 40-50 (2017)
Druh dokumentu: article
ISSN: 2075-2180
DOI: 10.4204/EPTCS.236.3
Popis: It is possible to reproduce the quantum features of quantum states, starting from a classical statistical theory and then limiting the amount of knowledge that an agent can have about an individual system [5, 18].These are so called epistemic restrictions. Such restrictions have been recently formulated in terms of the symplectic geometry of the corresponding classical theory [19]. The purpose of this note is to describe, using this symplectic framework, how to obtain a C*-algebraic formulation for the epistemically restricted theories. In the case of continuous variables, following the groupoid quantization recipe of E. Hawkins, we obtain a twisted group C*-algebra which is the usual Moyal quantization of a Poisson vector space [12].
Databáze: Directory of Open Access Journals