Time averaged distribution of a discrete-time quantum walk on the path

Abstract

The discrete time quantum walk which is a quantum counterpart of random walk plays important roles in the theory of quantum information theory. In the present paper, we focus on discrete time quantum walks viewed as quantization of random walks on the path. We obtain a weak limit theorem for the time averaged distribution of our quantum walks.

8 pages, Quantum Information Processing (in press)

References in corpus (2)

• Connecting the discrete and continuous-time quantum walks
• Asymptotic evolution of quantum walks with random coin

Cited by in corpus (1)

• Localization of quantum walks induced by recurrence properties of random walks