Average position in quantum walks with a U(2) coin
Quantum Physics
2015-06-11 v1
Abstract
We investigated discrete-time quantum walks with an arbitary unitary coin. Here we discover that the average position , while the initial state is . We prove the result and get some symmetry properties of quantum walks with a U(2) coin with and as the initial state.
Keywords
Cite
@article{arxiv.1210.3118,
title = {Average position in quantum walks with a U(2) coin},
author = {Min Li and YOng-Sheng Zhang and Guang-Can Guo},
journal= {arXiv preprint arXiv:1210.3118},
year = {2015}
}