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.

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