Limit theorems for the interference terms of discrete-time quantum walks on the line
Quantum Physics
2013-04-01 v3 Mathematical Physics
math.MP
Abstract
The probability distributions of discrete-time quantum walks have been often investigated, and many interesting properties of them have been discovered. The probability that the walker can be find at a position is defined by diagonal elements of the density matrix. On the other hand, although off-diagonal parts of the density matrices have an important role to quantify quantumness, they have not received attention in quantum walks. We focus on the off-diagonal parts of the density matrices for discrete-time quantum walks on the line and derive limit theorems for them.
Cite
@article{arxiv.1112.4633,
title = {Limit theorems for the interference terms of discrete-time quantum walks on the line},
author = {Takuya Machida},
journal= {arXiv preprint arXiv:1112.4633},
year = {2013}
}
Comments
Quantum Information and Computation, Vol.13 No.7&8, pp.661-671 (2013)