## 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 language | English |
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Pages (from-to) | 40-50 |

Number of pages | 11 |

Journal | Electronic Proceedings in Theoretical Computer Science, EPTCS |

Volume | 236 |

DOIs | |

State | Published - 1 Jan 2017 |

### Bibliographical note

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

## ASJC Scopus subject areas

- Software