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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.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	SU(N) and U(N) Euler angle parameterization with applications for multi-particle entanglement modeling./
作者:	Tilma, Todd Edward.
面頁冊數:	200 p.
附註:	Source: Dissertation Abstracts International, Volume: 64-11, Section: B, page: 5580.
Contained By:	Dissertation Abstracts International64-11B.
標題:	Physics, Elementary Particles and High Energy. -
電子資源:	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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