The C*-algebra representation of a physical system provides an ideal backdrop for the study of bipartite entanglement, as a natural definition of separability emerges as a direct consequence of the non-abelian nature of quantum systems under this formulation. The focus of this dissertation is the quantification of entanglement for infinite dimensional systems. The use of Choquet’s theory of boundary integrals allows for an integral representation of the states on a C*-algebra and subsequent adaptation of the Convex Roof Measures to infinite dimensional systems. Another measure of entanglement, known as the Quantum Correlation Coefficient, is also shown to be a valid measure of entanglement in infinite dimensions, by making use of the intimate connection between separability and positive maps. / Dissertation (MSc)--University of Pretoria, 2020. / Physics / MSc / Unrestricted
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:up/oai:repository.up.ac.za:2263/75515 |
| Date | 05 1900 |
| Creators | Oerder, Kyle |
| Contributors | Duvenhage, Rocco, kyle.oerder@up.ac.za |
| Publisher | University of Pretoria |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Dissertation |
| Rights | © 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
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