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Lower bound on the life-time of quantum states based on the mean energy, and its relationship with quantum entanglement
Dissertation (MSc)--University of Pretoria, 2021.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2021
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| _version_ | 1867613727298158592 |
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| access_status_str | Open Access |
| author2 | Zander, Claudia |
| author_browse | Zander, Claudia |
| author_facet | Zander, Claudia |
| 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, 2021. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/79923 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:40:44.617Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| 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:2263/79923 Lower bound on the life-time of quantum states based on the mean energy, and its relationship with quantum entanglement Zander, Claudia carrie.rubigde@gmail.com Plastino, Angel Ricardo (Angelo) Rubidge, Carrie-Anne quantum state life-time time-energy uncertainty relations distinguishability of quantum states quantum evolution entanglement UCTD Dissertation (MSc)--University of Pretoria, 2021. An uncertainty relationship between the mean energy and lifetime of a state is derived. States which minimize the average lifetime, also optimize the linear entropy. The connection between this inequality and entanglement is explored. In the case of factorizable, symmetric states of two non-interacting systems, entanglement is needed in order to reach the minimum possible lifetime. States with a given mean energy and discrete energy spectra that exhibit the most varied possible evolution as measured by their overlap, also have an optimal linear entropy. We show that this is not the same for states with continuous energy spectra and discuss the implications in the context of the meaning of linear entropy. National Research Foundation (NRF) Physics MSc Unrestricted 2021-05-17T08:32:04Z 2021-05-17T08:32:04Z 2021 2021 Dissertation * S2021 http://hdl.handle.net/2263/79923 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 | quantum state life-time time-energy uncertainty relations distinguishability of quantum states quantum evolution entanglement UCTD Lower bound on the life-time of quantum states based on the mean energy, and its relationship with quantum entanglement |
| title | Lower bound on the life-time of quantum states based on the mean energy, and its relationship with quantum entanglement |
| title_full | Lower bound on the life-time of quantum states based on the mean energy, and its relationship with quantum entanglement |
| title_fullStr | Lower bound on the life-time of quantum states based on the mean energy, and its relationship with quantum entanglement |
| title_full_unstemmed | Lower bound on the life-time of quantum states based on the mean energy, and its relationship with quantum entanglement |
| title_short | Lower bound on the life-time of quantum states based on the mean energy, and its relationship with quantum entanglement |
| title_sort | lower bound on the life time of quantum states based on the mean energy and its relationship with quantum entanglement |
| topic | quantum state life-time time-energy uncertainty relations distinguishability of quantum states quantum evolution entanglement UCTD |
| url | http://hdl.handle.net/2263/79923 |