An Ideal Channel of Long Distance Entanglement in Spin Systems

TL;DR

This paper presents a scheme using spin chains to create an ideal long-distance entanglement channel, analyzing how parameters like anisotropy and magnetic fields influence entanglement in the ground state.

Contribution

It introduces a simple method to generate long-distance entanglement using a uniform XX open chain with a bulk magnetic field, focusing on the simplest Hilbert subspace.

Findings

Boundary entanglement depends on the ground state configuration.

Magnetic fields can enhance boundary entanglement.

Anisotropic parameters can frustrate entanglement.

Abstract

We propose a scheme for using spin chain to realize an ideal channel of long distance entanglement. The results show that there has different entanglement in different Hilbert subspace, the anisotropic parameter $\Delta$ will frustrate the entanglement and the magnetic field affect the entanglement through changing the ground state, the boundary entanglement $C_{1N}$ has the simplest expression in the simplest subspace and it only depend on the first item of the ground state, that item can be increased when a local magnetic field is introduced. Our propose can be handled easily because it only needs a uniform XX open chain initialized in the simplest Hilbert subspace and a bulk magnetic field that absent for the boundary qubits.