Constructing graphs having Laplacian pair state transfer by an edge perturbation
Wei Wang, Xiaogang Liu, Jing Wang
TL;DR
This paper establishes conditions under which graphs with edge perturbations between twin vertices exhibit Laplacian perfect and pretty good pair state transfer, and constructs new such graphs.
Contribution
It provides sufficient conditions for Laplacian pair state transfer in perturbed graphs and constructs numerous new examples with these properties.
Findings
Identified conditions for perfect pair state transfer
Identified conditions for pretty good pair state transfer
Constructed many new graphs with these transfer properties
Abstract
In this paper, we give some sufficient conditions for graphs with an edge perturbation between twin vertices to have Laplacian perfect pair state transfer as well as Laplacian pretty good pair state transfer. By those sufficient conditions, we also construct many new graphs having Laplacian perfect pair state transfer as well as Laplacian pretty good pair state transfer.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum-Dot Cellular Automata · Quantum Information and Cryptography