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.
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
1. Fundamental physics with strong analytical background
2. Numerical techniques
3. Possible application in engineering and science