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.
| Identifer | oai:union.ndltd.org:BRADFORD/oai:bradscholars.brad.ac.uk:10454/3344 |
| Date | January 2009 |
| Creators | Wang, Lina |
| Contributors | Vourdas, Apostolos |
| Publisher | University of Bradford, Department of Computing |
| Source Sets | Bradford Scholars |
| Language | English |
| Detected Language | English |
| Type | Thesis, doctoral, PhD |
| 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>. |
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