Reexamination of decoherence in quantum walks on the hypercube
Quantum Physics
2009-11-13 v2
Abstract
The effect of decoherence on the continuous-time quantum walk on the hypercube is revisited. Previously, an exact solution was found for a decoherence model that preserved the effective tensor-product form of the dynamics. Here a new model is presented, inspired by perfect quantum state transfer in qubit networks. A perturbative solution is found for the dynamics of this model which is not of a tensor-product form. In contrast to previous results, the hitting probability has a lower bound that is independent of the hypercube dimension.
Keywords
Cite
@article{arxiv.0808.3403,
title = {Reexamination of decoherence in quantum walks on the hypercube},
author = {Frederick W. Strauch},
journal= {arXiv preprint arXiv:0808.3403},
year = {2009}
}
Comments
8 pages, 4 figures, revised title and text for PRA