State transfer analysis for linear spin chains with non-uniform on-site energies

TL;DR

This paper analyzes perfect and quasi-perfect quantum state transfer in linear spin chains with non-uniform on-site energies, relating it to a discrete potential model and examining effects of statistical variations as chain length increases.

Contribution

It introduces a novel analysis of state transfer in non-uniform spin chains, linking coupling uniformity to a discrete potential analogy and studying statistical effects for larger chains.

Findings

Perfect state transfer achievable with non-uniform energies

Coupling uniformity relates to a discrete potential model

Statistical variations impact transfer fidelity as chain length grows

Abstract

High fidelity state transfer is an important ingredient of distributed quantum information processing. We present and analyse results on perfect and quasi-perfect state transfer with linear spin chains incorporating non-uniform on-site energies. The motivation is maintenance of coupling uniformity, which could be beneficial for some physical implementations. We relate this coupling uniformity to a particle in a discrete potential analogue. Our analysis further considers the statistical variation in couplings and on-site energies, as a function of increasing chain site number N.