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Operator algebras and quantum information
Dissertation (MSc)--University of Pretoria, 2020.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2020
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| _version_ | 1867613456306274304 |
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| access_status_str | Open Access |
| author2 | Duvenhage, Rocco |
| author_browse | Duvenhage, Rocco |
| author_facet | Duvenhage, Rocco |
| collection | Thesis |
| dc_rights_str_mv | © 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. |
| description | Dissertation (MSc)--University of Pretoria, 2020. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/75515 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:36:26.058Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2020 |
| publishDateRange | 2020 |
| publishDateSort | 2020 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/75515 Operator algebras and quantum information Duvenhage, Rocco kyle.oerder@up.ac.za Oerder, Kyle Entanglement C*-Algebra Operator Algebra Convex Roof Measures Correlation Coefficient UCTD Dissertation (MSc)--University of Pretoria, 2020. 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. Physics MSc Unrestricted 2020-07-31T06:32:46Z 2020-07-31T06:32:46Z 2020-10-01 2020-05 Dissertation Oerder, K 2020, Operator algebras and quantum information, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/75515> S2020 http://hdl.handle.net/2263/75515 en © 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. application/pdf University of Pretoria |
| spellingShingle | Entanglement C*-Algebra Operator Algebra Convex Roof Measures Correlation Coefficient UCTD Operator algebras and quantum information |
| title | Operator algebras and quantum information |
| title_full | Operator algebras and quantum information |
| title_fullStr | Operator algebras and quantum information |
| title_full_unstemmed | Operator algebras and quantum information |
| title_short | Operator algebras and quantum information |
| title_sort | operator algebras and quantum information |
| topic | Entanglement C*-Algebra Operator Algebra Convex Roof Measures Correlation Coefficient UCTD |
| url | http://hdl.handle.net/2263/75515 |