Localization in the constrained quantum annealing of graph coloring
Quantum Physics
2020-05-11 v6 Disordered Systems and Neural Networks
Abstract
Constrained quantum annealing (CQA) is a quantum annealing approach that is designed so that constraints are satisfied without penalty terms. There is an analogy between the model for the CQA of graph coloring and a set of disordered spin chains. In the model for the CQA of graph coloring, disorder corresponds to the fluctuation of effective local fields that increase in a CQA process. Numerical simulations of effective fields and entanglement demonstrate how localization appears in the CQA. Some notable features appear in the concurrence, which is a measure of entanglement, plotted as a function of the fluctuation of effective fields.
Keywords
Cite
@article{arxiv.1902.07888,
title = {Localization in the constrained quantum annealing of graph coloring},
author = {Kazue Kudo},
journal= {arXiv preprint arXiv:1902.07888},
year = {2020}
}
Comments
7 pages, 7 figures