Superadiabatic quantum state transfer in spin chains

TL;DR

This paper introduces a superadiabatic protocol for high-fidelity quantum state transfer in long spin chains, requiring minimal control and achieving fidelities above 0.99 within nanoseconds.

Contribution

It develops a superadiabatic approach enabling nearly perfect quantum state transfer with minimal control in spin chains of odd length.

Findings

Fidelities above 0.99 achievable within nanoseconds.

Superadiabatic protocol improves fidelity by up to 20%.

Minimal control required for effective state transfer.

Abstract

In this letter we propose a superadiabatic protocol where quantum state transfer can be achieved with arbitrarily high accuracy and minimal control across long spin chains with an odd number of spins. The quantum state transfer protocol only requires the control of the couplings between the qubits on the edge and the spin chain. We predict fidelities above 0.99 for an evolution of nanoseconds using typical spin exchange coupling values of {\mu}eV. Furthermore, by building a superadiabatic formalism on top of this protocol, we propose a effective superadiabatic protocol that retains the minimal control over the spin chain and improves the fidelity by up to 20%.