Decoherence-assisted quantum driving

TL;DR

This paper introduces a quantum driving protocol utilizing repeated measurements and the quantum Zeno effect to achieve high-fidelity state transfer, outperforming traditional coherent methods in multiqubit systems.

Contribution

It presents a novel measurement-based transitionless driving protocol that leverages the quantum Zeno effect and geometric optimization for improved quantum control.

Findings

Fidelity approaches unity with infinite interaction rate.

Optimal trajectories have minimal geometric length and constant speed.

Protocol outperforms coherent driving in multiqubit systems.

Abstract

We propose a protocol for transitionless driving of a bound quantum system in its parameter space using repeated measurement-like interactions with an external spectator system. As a consequence of the quantum Zeno effect, the fidelity of the final state preparation is equal to unity in the limit of infinite-rate interactions. For finite-rate interactions, the maximal fidelity is achieved for the driving trajectory having a minimal geometric length and keeping a constant speed with respect to the Provost-Vallee metric in the parameter space. We numerically test the protocol in an interacting multiqubit system, demonstrating its dominance over the method of coherent driving.