Quantum state transfer on a scalable network under unital and non-unital noise

TL;DR

This paper explores quantum state transfer on butterfly graphs using discrete-time quantum walks, analyzing robustness under various unital and non-unital non-Markovian noise models, and demonstrating scalable high-fidelity quantum communication.

Contribution

It extends the understanding of quantum transport on butterfly graphs and examines their robustness under diverse environmental noise conditions.

Findings

Quantum state transfer occurs on butterfly graphs, supporting high-fidelity communication.

State transfer remains robust under certain non-Markovian noise models.

Analysis reveals how different noise types affect quantum coherence in these networks.

Abstract

We investigate quantum state transfer on a class of bipartite graphs, namely the butterfly graphs, within the framework of discrete-time quantum walks. These graphs facilitate the construction of scalable quantum networks that enable communication between a sender and a receiver via perfect state transfer. Our analysis demonstrates that state transfer occurs across different butterfly graphs, thereby extending the known families of networks that support high-fidelity quantum state transfer. In addition to the ideal noiseless dynamics, we further investigate the robustness of quantum state transfer in the presence of non-Markovian environmental noise, specifically, random telegraph noise, modified Ornstein-Uhlenbeck noise, which are examples of unital noise and non-Markovian amplitude damping noise, non-unital noise. These noise models capture different types of system-environment interactions and memory effects that influence the coherence of the quantum walk. These findings contribute to the theoretical understanding of how butterfly graph constructions influence quantum transport phenomena.