Using the J1-J2 Quantum Spin Chain as an Adiabatic Quantum Data Bus

TL;DR

This paper explores using a J1-J2 quantum spin chain as an adiabatic quantum data bus, demonstrating effective single-qubit transport through numerical analysis and identifying a critical frustration threshold for the process.

Contribution

It introduces a numerical study of adiabatic transport in J1-J2 spin chains, highlighting the potential for quantum data transfer leveraging the ground state at the Majumdar-Ghosh point.

Findings

Transport works well below a critical frustration threshold.

All annealing protocols tested yield similar results.

Ground state at the Majumdar-Ghosh point facilitates the process.

Abstract

This paper investigates numerically a phenomenon which can be used to transport a single q-bit down a J1-J2 Heisenberg spin chain using a quantum adiabatic process. The motivation for investigating such processes comes from the idea that this method of transport could potentially be used as a means of sending data to various parts of a quantum computer made of artificial spins, and that this method could take advantage of the easily prepared ground state at the so called Majumdar-Ghosh point. We examine several annealing protocols for this process and find similar result for all of them. The annealing process works well up to a critical frustration threshold.