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SU(N) and U(N) Euler angle parameter...

Tilma, Todd Edward.

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SU(N) and U(N) Euler angle parameterization with applications for multi-particle entanglement modeling.

Record Type:	Electronic resources : Monograph/item
Title/Author:	SU(N) and U(N) Euler angle parameterization with applications for multi-particle entanglement modeling./
Author:	Tilma, Todd Edward.
Description:	200 p.
Notes:	Source: Dissertation Abstracts International, Volume: 64-11, Section: B, page: 5580.
Contained By:	Dissertation Abstracts International64-11B.
Subject:	Physics, Elementary Particles and High Energy. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3110593
ISBN:	9780496581313

SU(N) and U(N) Euler angle parameterization with applications for multi-particle entanglement modeling.
Tilma, Todd Edward.

SU(N) and U(N) Euler angle parameterization with applications for multi-particle entanglement modeling. - 200 p.

Source: Dissertation Abstracts International, Volume: 64-11, Section: B, page: 5580.

Thesis (Ph.D.)--The University of Texas at Austin, 2002.

In this dissertation an explicit parameterization for the groups SU(N) and U(N) is given in terms of the Euler-Rodriguez angles. The corresponding Haar measure and invariant volume element specific to this parameterization is then calculated. The importance of these calculations is then manifested in the development of a generalized representation of any N by N density matrix and its corresponding pure and mixed state volume measure, in terms of the N2 - 1 parameters defining SU(N). Applications to quantum information theory are then presented through the explicit calculation of the manifold of unitary transformations which entangle two two-state systems, otherwise known as two qubit systems, and one two-state system with one three-state system, otherwise known as a qubit/qutrit system. Hypothesized volumes of the corresponding set of entangled two qubit and qubit/qutrit states are then presented.

ISBN: 9780496581313Subjects--Topical Terms:

1019488
Physics, Elementary Particles and High Energy.

SU(N) and U(N) Euler angle parameterization with applications for multi-particle entanglement modeling.
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100 1 $a Tilma, Todd Edward. $3 1912419
245 1 0 $a SU(N) and U(N) Euler angle parameterization with applications for multi-particle entanglement modeling.
300 $a 200 p.
500 $a Source: Dissertation Abstracts International, Volume: 64-11, Section: B, page: 5580.
500 $a Supervisors: E. C. G. Sudarshan; Jack S. Turner.
502 $a Thesis (Ph.D.)--The University of Texas at Austin, 2002.
520 $a In this dissertation an explicit parameterization for the groups SU(N) and U(N) is given in terms of the Euler-Rodriguez angles. The corresponding Haar measure and invariant volume element specific to this parameterization is then calculated. The importance of these calculations is then manifested in the development of a generalized representation of any N by N density matrix and its corresponding pure and mixed state volume measure, in terms of the N2 - 1 parameters defining SU(N). Applications to quantum information theory are then presented through the explicit calculation of the manifold of unitary transformations which entangle two two-state systems, otherwise known as two qubit systems, and one two-state system with one three-state system, otherwise known as a qubit/qutrit system. Hypothesized volumes of the corresponding set of entangled two qubit and qubit/qutrit states are then presented.
590 $a School code: 0227.
650 4 $a Physics, Elementary Particles and High Energy. $3 1019488
690 $a 0798
710 2 0 $a The University of Texas at Austin. $3 718984
773 0 $t Dissertation Abstracts International $g 64-11B.
790 1 0 $a Sudarshan, E. C. G., $e advisor
790 1 0 $a Turner, Jack S., $e advisor
790 $a 0227
791 $a Ph.D.
792 $a 2002
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3110593