Adiabatic state distribution using anti-ferromagnetic spin systems

TL;DR

This paper explores adiabatic control of Heisenberg spin networks to enable quantum information transfer and entanglement creation across complex bipartite graphs, extending beyond linear chains.

Contribution

It introduces a method for adiabatic state transfer in bipartite spin systems, broadening the scope from linear chains to more complex graph structures.

Findings

Successful transfer and entanglement in bipartite graphs.

Numerical analysis of transfer fidelity in star networks.

Discussion of potential experimental implementations.

Abstract

Transporting quantum information is an important prerequisite for quantum computers. We study how this can be done in Heisenberg-coupled spin networks using adiabatic control over the coupling strengths. We find that qudits can be transferred and entangled pairs can be created between distant sites of bipartite graphs with a certain balance between the maximum spin of both parts, extending previous results that were limited to linear chains. The transfer fidelity in a small star-shaped network is numerically analysed, and possible experimental implementations are discussed.