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-...

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Bibliographic Details
Main Author:	Wang, Lina
Other Authors:	Vourdas, Apostolos
Language:	en
Published:	University of Bradford 2009
Subjects:	Symplectic transformations Finite systems Phase space Entanglement
Online Access:	http://hdl.handle.net/10454/3344

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spelling	ndltd-BRADFORD-oai-bradscholars.brad.ac.uk-10454-33442019-09-24T03:01:57Z Symplectic transformations and entanglement in finite quantum systems. Wang, Lina Vourdas, Apostolos Symplectic transformations Finite systems Phase space Entanglement 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. 2009-08-21T15:16:51Z 2009-08-21T15:16:51Z 2009-08-21T15:16:51Z 2009 Thesis doctoral PhD http://hdl.handle.net/10454/3344 en <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>. University of Bradford Department of Computing
collection	NDLTD
language	en
sources	NDLTD
topic	Symplectic transformations Finite systems Phase space Entanglement
spellingShingle	Symplectic transformations Finite systems Phase space Entanglement Wang, Lina Symplectic transformations and entanglement in finite quantum systems.
description	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.
author2	Vourdas, Apostolos
author_facet	Vourdas, Apostolos Wang, Lina
author	Wang, Lina
author_sort	Wang, Lina
title	Symplectic transformations and entanglement in finite quantum systems.
title_short	Symplectic transformations and entanglement in finite quantum systems.
title_full	Symplectic transformations and entanglement in finite quantum systems.
title_fullStr	Symplectic transformations and entanglement in finite quantum systems.
title_full_unstemmed	Symplectic transformations and entanglement in finite quantum systems.
title_sort	symplectic transformations and entanglement in finite quantum systems.
publisher	University of Bradford
publishDate	2009
url	http://hdl.handle.net/10454/3344
work_keys_str_mv	AT wanglina symplectictransformationsandentanglementinfinitequantumsystems
_version_	1719255358427365376

Symplectic transformations and entanglement in finite quantum systems.

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