Summary: DISORDER, LOCALIZATION AND DECAY IN
QUANTUM WALKS
by
TENG JIAN KHOO
Frederick W. Strauch, Advisor
A thesis submitted in partial fulfillment
of the requirements for the
Degree of Bachelor of Arts with Honors
in Physics
WILLIAMS COLLEGE
Williamstown, Massachusetts
Contents
1 Introduction 2
1.1 The Classical Walk and Markov Chains . . . . . . . . . . . . 3
1.2 The Quantum Walk . . . . . . . . . . . . . . . . . . . . . . . 5
1.3 The Glued Trees Graph . . . . . . . . . . . . . . . . . . . . . 8
1.4 Imperfect walks . . . . . . . . . . . . . . . . . . . . . . . . . . 10
1.5 Overview of results and conclusions . . . . . . . . . . . . . . . 12
2 Quantum walks on the Glued Trees Graph 15
2.1 Motivations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15

Source: Aalberts, Daniel P. - Department of Physics, Williams College

Collections: Physics