A note on Ito's formula for discrete-time quantum walk
Quantum Physics
2013-11-08 v1 Mathematical Physics
math.MP
Probability
Abstract
We present an Ito's formula for the one-dimensional discrete-time quantum walk and give some examples including a Tanaka's formula by using the formula. Moreover we discuss integrals for the quantum walk.
Keywords
Cite
@article{arxiv.1112.4335,
title = {A note on Ito's formula for discrete-time quantum walk},
author = {Norio Konno},
journal= {arXiv preprint arXiv:1112.4335},
year = {2013}
}
Comments
7 pages, submitted to Journal of Computational and Theoretical Nanoscience as the special issue on "Theoretical and Mathematical Aspects of the Discrete Time Quantum Walk"