Path integral approach to one-dimensional discrete-time quantum walk
Quantum Physics
2018-03-02 v1
Abstract
Discrete-time quantum walk in one-dimension is studied from a path-integral perspective. This enables derivation of a closed-form expression for amplitudes corresponding to any coin-position basis of the state vector of the quantum walker at an arbitrary step of the walk. This provides a new approach to the foundations and applications of quantum walks.
Cite
@article{arxiv.1803.00448,
title = {Path integral approach to one-dimensional discrete-time quantum walk},
author = {Karthik S. Joshi and S. K. Srivatsa and R. Srikanth},
journal= {arXiv preprint arXiv:1803.00448},
year = {2018}
}
Comments
5 pages, 1 figure