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Title: Symplectic transformations and entanglement in finite quantum systems
Author: Wang, Lina
ISNI:       0000 0004 2700 7835
Awarding Body: University of Bradford
Current Institution: University of Bradford
Date of Award: 2009
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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.
Supervisor: Vourdas, Apostolos Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Symplectic transformations ; Finite systems ; Phase space ; Entanglement