Symplectic transformations and entanglement in finite quantum systems.
dc.contributor.advisor | Vourdas, Apostolos | |
dc.contributor.author | Wang, Lina | * |
dc.date.accessioned | 2009-08-21T15:16:51Z | |
dc.date.available | 2009-08-21T15:16:51Z | |
dc.date.issued | 2009-08-21T15:16:51Z | |
dc.identifier.uri | http://hdl.handle.net/10454/3344 | |
dc.description.abstract | Quantum systems with finite Hilbert space are considered. Position and mo- mentum states and their relation through a Fourier transform, displacement in the position-momentum phase-space, and symplectic transformations are introduced and their properties are studied. Symplectic Sp(2l;Zp) trans- formations in l-partite finite system are explicit constructed. The general method is applied to bi-partite and tri-partite systems. The effect of these transformations on the correlations is discussed. Entanglement calculations between the subsystems in a bi-partite system and a tri-partite system are presented. The effect of measurements is also studied. | en |
dc.language.iso | en | en |
dc.rights | <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/"><img alt="Creative Commons License" style="border-width:0" src="http://i.creativecommons.org/l/by-nc-nd/3.0/88x31.png" /></a><br />The University of Bradford theses are licenced under a <a rel="license" href="http://creativecommons.org/licenses/by-nc-nd/3.0/">Creative Commons Licence</a>. | en |
dc.subject | Symplectic transformations | en |
dc.subject | Finite systems | en |
dc.subject | Phase space | en |
dc.subject | Entanglement | en |
dc.title | Symplectic transformations and entanglement in finite quantum systems. | en |
dc.type.qualificationlevel | doctoral | en |
dc.publisher.institution | University of Bradford | eng |
dc.publisher.department | Department of Computing | en |
dc.type | Thesis | eng |
dc.type.qualificationname | PhD | en |
dc.date.awarded | 2009 | |
refterms.dateFOA | 2018-07-18T13:27:08Z |