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Symplectic transformations and entanglement in finite quantum systems

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.

Identiferoai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:530300
Date January 2009
CreatorsWang, Lina
ContributorsVourdas, Apostolos
PublisherUniversity of Bradford
Source SetsEthos UK
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Sourcehttp://hdl.handle.net/10454/3344

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