Quantum Random Walker on Networks
Project Description

Basic quantum mechanical calculations is used to describe random walker on network. First we learn how to compute the probability of finding the random walker at position x on a line after n steps in time. We then explore the situation when the space on which the walker can explore is a network. The objective is to compare the behavior of the walker in a quantum mechanical world with one in a classical world, on various interesting networks.

Supervisor
SZETO Kwok Yip
Quota
5
Course type
UROP1000
UROP1100
UROP2100
UROP3100
UROP4100
Applicant's Roles

Learn the fundamental physics of the quantum random walk by deriving a set of equations for the wave function

Numerical simulation is also performed

Analytical work on discrete time quantum random walk

Applicant's Learning Objectives

1. Fundamental physics with strong analytical background

2. Numerical techniques

3. Possible application in engineering and science

Complexity of the project
Challenging