Gaussian States in Discrete Quantum Phase Space

It appears your Web browser is not configured to display PDF files. Download adobe Acrobat or click here to download the PDF file.

Click here to download the PDF file.

Creator: 

Zanussi, Zachary Joseph

Date: 

2020

Abstract: 

Gaussian states play a central role in continuous quantum mechanics, and an appropriate generalization might play a similar role in discrete quantum mechanics. A common-sense discretization of these turns out to be trivial. In this work, we describe two new discretizations based on recent developments in discrete phase space methods. We also extend existing notions of convergence between continuous and discrete systems and apply some of them to our constructions. Accompanying this work is a numerical software package "qWeyl" which we use to give examples and provide visualizations.

Subject: 

Mathematics
Optics

Language: 

English

Publisher: 

Carleton University

Thesis Degree Name: 

Master of Science: 
M.Sc.

Thesis Degree Level: 

Master's

Thesis Degree Discipline: 

FLAG

Parent Collection: 

Theses and Dissertations

Items in CURVE are protected by copyright, with all rights reserved, unless otherwise indicated. They are made available with permission from the author(s).