Fast state transfer via loop weights

TL;DR

This paper demonstrates that high-fidelity quantum state transfer in spin chains can be achieved efficiently using loop weights at specific nodes, with precise estimates of transfer time and strength.

Contribution

It introduces a method utilizing loop weights at key nodes to enable nearly linear-time high-fidelity state transfer in quantum spin chains, with detailed parameter analysis.

Findings

Achieves almost-linear-time high-fidelity state transfer.

Provides explicit parameter values for implementation.

Offers quantitative estimates of transfer time and strength.

Abstract

We prove that almost-linear-time high-fidelity state transfer is achievable in a quantum spin chain using loop weights at the second and second-to-last nodes. We provide specific parameter values, and using a careful analysis of the eigenvectors we make precise quantitative estimates of the transfer time and strength.