Transfer of high-dimensional quantum state through an XXZ-Heisenberg quantum spin chain

TL;DR

This paper presents a scheme for high-dimensional quantum state transfer using an XXZ-Heisenberg spin chain, achieving high fidelity and noise protection through coherent coupling and spin-wave approximation.

Contribution

It introduces a novel high-dimensional quantum state transfer method utilizing an XXZ-Heisenberg chain with inhomogeneous magnetic fields, combining coherent coupling and spin-wave approximation.

Findings

Achieves perfect high-dimensional swap operation between remote quantum registers.

Numerical simulations confirm the feasibility of the proposed scheme.

Strong z-directional coupling or high quantum spin number suppresses thermal noise.

Abstract

We propose and analyze an efficient high-dimensional quantum state transfer scheme through an $XXZ$-Heisenberg spin chain in an inhomogeneous magnetic field. By the use of a combination of coherent quantum coupling and free spin-wave approximation, pure unitary evolution results in a perfect high-dimensional swap operation between two remote quantum registers mediated by a uniform quantum data bus, and the feasibility is confirmed by numerical simulations. Also, we observe that either the strong $z$-directional coupling or high quantum spin number can partly suppress the thermal excitations and protect quantum information from the thermal noises when the quantum data bus is in the thermal equilibrium state.