Geometric quantization and epistemically restricted theories: The continuous case

Ivan Contreras, Ali Nabi Duman

Research output: Contribution to journalConference articlepeer-review

Abstract

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 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].

Original languageEnglish
Pages (from-to)40-50
Number of pages11
JournalElectronic Proceedings in Theoretical Computer Science, EPTCS
Volume236
DOIs
StatePublished - 1 Jan 2017

Bibliographical note

Publisher Copyright:
© I. Contreras, & A.N. Duman.

ASJC Scopus subject areas

  • Software

Fingerprint

Dive into the research topics of 'Geometric quantization and epistemically restricted theories: The continuous case'. Together they form a unique fingerprint.

Cite this