Thumbnail Image
Publication

Symplectic transformations and entanglement in finite quantum systems.

Wang, Lina
Publication Date
2009-08-21T15:16:51Z
End of Embargo
Supervisor
Vourdas, Apostolos
Keywords
Symplectic transformations, Finite systems, Phase space, Entanglement
Rights
Creative Commons License
The University of Bradford theses are licenced under a Creative Commons Licence.
Peer-Reviewed
Open Access status
Accepted for publication
Institution
University of Bradford
Department
Department of Computing
Awarded
2009
Embargo end date
Collections
Theses
Show all metadata
Files
Thumbnail Image
Thesis_Lina_Wang.pdf
Adobe PDF, 552.39 KB
Additional title
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.
URI
http://hdl.handle.net/10454/3344
Version
Citation
Link to publisher’s version
Link to published version
Link to Version of Record
Type
Thesis
Qualification name
PhD
Notes