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Information measures, entanglement and quantum evolution
Dissertation (MSc)--University of Pretoria, 2007.
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University of Pretoria
2013
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| _version_ | 1867613601379909632 |
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| access_status_str | Open Access |
| author2 | Plastino, Angel Ricardo (Angelo) |
| author_browse | Plastino, Angel Ricardo (Angelo) |
| author_facet | Plastino, Angel Ricardo (Angelo) |
| collection | Thesis |
| dc_rights_str_mv | © University of Pretor |
| description | Dissertation (MSc)--University of Pretoria, 2007. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/24044 |
| institution | University of Pretoria (South Africa) |
| last_indexed | 2026-06-10T12:38:43.836Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| 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:2263/24044 Information measures, entanglement and quantum evolution Plastino, Angel Ricardo (Angelo) cz@up.ac.za Zander, Claudia Quantum evolution Entanglement UCTD Dissertation (MSc)--University of Pretoria, 2007. Due to its great importance, both from the fundamental and from the practical points of view, it is imperative that the concept of entanglement is explored. In this thesis I investigate the connection between information measures, entanglement and the “speed” of quantum evolution. In Chapter 1 a brief review of the different information and entanglement measures as well as of the concept of “speed” of quantum evolution is given. An illustration of the quantum no-cloning theorem in connection with closed timelike curves is also provided. The work leading up to this thesis has resulted in the following three publications and in one conference proceeding: (A) C. Zander and A.R. Plastino, “Composite systems with extensive Sq (power-law) entropies”, Physica A 364, (2006) pp. 145-156 (B) S. Curilef, C. Zander and A.R. Plastino, “Two particles in a double well: illustrating the connection between entanglement and the speed of quantum evolution”, Eur. J. Phys. 27, (2006) pp. 1193-1203 (C) C. Zander, A.R. Plastino, A. Plastino and M. Casas, “Entanglement and the speed of evolution of multi-partite quantum systems”, J. Phys. A: Math. Theor. 40 (11), (2007) pp. 2861-2872 (D) A.R. Plastino and C. Zander, “Would Closed Timelike Curves Help to Do Quantum Cloning?”, AIP Conference Proceedings: A century of relativity physics, ERE 841, (2005) pp. 570-573. Chapter 2 is based on (A) and is an application of the Sq (powerlaw) entropy. A family of models for the probability occupancy of phase space exhibiting an extensive behaviour of Sq and allowing for an explicit analysis of the thermodynamic limit is proposed. Chapter 3 is based on (B). The connection between entanglement and the speed of quantum evolution as measured by the time needed to reach an orthogonal state is discussed in the case of two quantum particles moving in a one-dimensional double well. This illustration is meant to be incorporated into the teaching of quantum entanglement. Chapter 4 is based on (C). The role of entanglement in time evolution is investigated in the cases of two-, three- and N-qubit systems. A clear correlation is seen between entanglement and the speed of evolution. States saturating the speed bound are explored in detail. Chapter 5 summarizes the conclusions drawn in the previous chapters. Physics MSc Unrestricted 2013-09-06T16:31:10Z 2008-04-24 2013-09-06T16:31:10Z 2007-09-06 2007 2008-04-21 Dissertation Zander, C 2007, Information measures, entanglement and quantum evolution, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/24044> Pretoria http://hdl.handle.net/2263/24044 http://upetd.up.ac.za/thesis/available/etd-04212008-090506/ © University of Pretor application/pdf University of Pretoria |
| spellingShingle | Quantum evolution Entanglement UCTD Information measures, entanglement and quantum evolution |
| title | Information measures, entanglement and quantum evolution |
| title_full | Information measures, entanglement and quantum evolution |
| title_fullStr | Information measures, entanglement and quantum evolution |
| title_full_unstemmed | Information measures, entanglement and quantum evolution |
| title_short | Information measures, entanglement and quantum evolution |
| title_sort | information measures entanglement and quantum evolution |
| topic | Quantum evolution Entanglement UCTD |
| url | http://hdl.handle.net/2263/24044 http://upetd.up.ac.za/thesis/available/etd-04212008-090506/ |