Files in this item



application/pdf3153457.pdf (9MB)Restricted to U of Illinois
(no description provided)PDF


Title:Quantum Entanglement: Geometric Quantification and Applications to Multi-Partite States and Quantum Phase Transitions
Author(s):Wei, Tzu-Chieh
Doctoral Committee Chair(s):Goldbart, Paul M.
Department / Program:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Physics, Condensed Matter
Abstract:The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement is explored for bi-partite and multi-partite pure and mixed states. It is determined analytically for arbitrary two-qubit mixed states, generalized Werner, and isotropic states, and is also applied to certain multi-partite mixed states, including two distinct multi-partite bound entangled states. Moreover, the ground-state entanglement of the XY model in a transverse field is calculated and shown to exhibit singular behavior near the quantum critical line. Along the way, connections are pointed out between the geometric measure of entanglement, the Hartree approximation, entanglement witnesses, correlation functions, and the relative entropy of entanglement.
Issue Date:2004
Description:144 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2004.
Other Identifier(s):(MiAaPQ)AAI3153457
Date Available in IDEALS:2015-09-25
Date Deposited:2004

This item appears in the following Collection(s)

Item Statistics