The high probability state transfers and entanglements between different nodes of the homogeneous spin 1/2 chain in inhomogeneous external magnetic field

TL;DR

This paper investigates high-probability state transfers and entanglements in spin-1/2 chains under inhomogeneous magnetic fields, providing examples for chains of various lengths and discussing how to realize such magnetic fields.

Contribution

It introduces a method to achieve high-probability state transfers and entanglements in spin chains using inhomogeneous magnetic fields, expanding control possibilities in quantum information processing.

Findings

Demonstrates high-probability state transfer in chains of 3, 4, 10, and 20 nodes.

Provides a scheme for realizing inhomogeneous magnetic fields.

Shows potential for improved quantum communication protocols.

Abstract

We consider the high probability state transfers and entanglements between different nodes of the spin-1/2 chains governed by the XXZ-Hamiltonian using the inhomogeneous stationary external magnetic field. Examples of three-, four-, ten- and twenty-node chains are represented. A variant of realization of the proper inhomogeneous magnetic field is discussed.