Laplacian state transfer in vertex complemented coronas

TL;DR

This paper studies quantum state transfer properties in a specific class of graph structures called vertex complemented coronas, establishing conditions for their ability to facilitate approximate quantum state transfer.

Contribution

It proves the non-existence of Laplacian perfect state transfer and provides a sufficient condition for Laplacian pretty good state transfer in vertex complemented coronas.

Findings

No Laplacian perfect state transfer in vertex complemented coronas.

A sufficient condition for Laplacian pretty good state transfer.

Insights into quantum information transfer in complex graph structures.

Abstract

In this paper, we investigate the existence of Laplacian perfect state transfer and Laplacian pretty good state transfer in vertex complemented coronas. We prove that there is no Laplacian perfect state transfer in vertex complemented coronas. In contrast, we give a sufficient condition for vertex complemented coronas to have Laplacian pretty good state transfer.