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application/pdf ![]() ![]() | Wei_Tzu-Chieh |
Description
Title: | Quantum Entanglement: Geometric Quantification and Applications to Multi-partite States and Quantum Phase Transitions |
Author(s): | Wei, Tzu-Chieh |
Department / Program: | Physics |
Discipline: | Physics |
Degree: | Ph.D. |
Genre: | Dissertation |
Subject(s): | Quantum; Multi-Partite; two-qubit; isotropic; entanglement; hartee; entrope; distillation; werner |
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 |
Genre: | Dissertation / Thesis |
Type: | Text |
Language: | English |
URI: | http://hdl.handle.net/2142/35200 |
Rights Information: | 2004 © |
Date Available in IDEALS: | 2012-11-11 |
This item appears in the following Collection(s)
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Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois -
Dissertations and Theses - Physics
Dissertations in Physics