Anisotropic Heisenberg Su-Schrieffer-Heeger spin chain as a quantum channel

TL;DR

This paper investigates quantum state transfer in anisotropic Heisenberg SSH spin chains, analyzing topological effects, disorder robustness, long-range interactions, and control strategies to enhance transmission fidelity.

Contribution

It introduces a comprehensive study of topological and non-topological phases in SSH spin chains, incorporating disorder, dipolar interactions, and optimal control for quantum communication.

Findings

Topological phases enhance robustness against static disorder.

Dipolar interactions break magnetization conservation, affecting transfer.

Optimal control pulses differ significantly between regimes.

Abstract

Quantum state transmission in spin chains is a fundamental problem within quantum technologies. The Su-Schrieffer-Heeger (SSH) model, first introduced in the context of polyacetylene, provides a paradigmatic example of a system exhibiting topological and non-topological phases. We explore the transmission of one and two excitations in anisotropic Heisenberg SSH spin chains and analyze the relationship between topological properties and state transfer efficiency. We examine the robustness of quantum state transmission against static disorder in the trivial and topological regimes, exploring how topological protection influences transmission fidelity. We also consider the effect of dipolar interactions, introducing long-range couplings and breaking the conservation of total magnetization. Furthermore, we employ optimal control theory to design driving pulses for state transmission, finding substantial differences between optimizing in the trivial and topological regimes. Our results provide insights about the interplay between topology, disorder, interactions, and control strategies in quantum state transfer.