High Fidelity State Transfer Over an Unmodulated Linear XY Spin Chain

TL;DR

This paper introduces a method for high-fidelity quantum state transfer over long unmodulated XY spin chains using specific initial encodings, achieving near-perfect fidelity in large systems.

Contribution

It presents a novel class of initial encodings enabling high-fidelity state transfer over unmodulated XY spin chains, with detailed analysis and optimization conditions.

Findings

Average fidelity of 96% with an 11-spin encoding over 10,000 spins

Analysis of magnetic field dependence for optimal transfer

Conditions for magnetic field optimization provided

Abstract

We provide a class of initial encodings that can be sent with a high fidelity over an unmodulated, linear, XY spin chain. As an example, an average fidelity of ninety-six percent can be obtained using an eleven-spin encoding to transmit a state over a chain containing ten-thousand spins. An analysis of the magnetic field dependence is given, and conditions for field optimization are provided.