Transitionless-based shortcuts for the fast and robust generation of W states

TL;DR

This paper introduces a transitionless quantum driving scheme in cavity QED to generate W states efficiently, faster, and more robust than traditional adiabatic and Zeno-based methods, with resilience to decoherence.

Contribution

It develops a novel shortcut scheme for W state generation using transitionless quantum driving and quantum Zeno dynamics, outperforming traditional methods in speed and robustness.

Findings

Shortcut scheme is faster than adiabatic methods.

More robust against operational imperfections than Zeno-based schemes.

Resilient to decoherence from spontaneous emission and photon loss.

Abstract

We propose a scheme to generate W states based on transitionles-based shortcuts technique in cavity quantum electrodynamics (QED) system. In light of quantum Zeno dynamics, we first effectively design a system whose effective Hamiltonian is equivalent to the counter-diabatic driving Hamiltonian constructed by transitionless quantum driving, then, realize the W states' generation within this framework. For the sake of clearness, we describe two stale schemes for W states' generation via traditional methods: the adiabatic dark-state evolution and the quantum Zeno dynamics. The comparison among these three schemes shows the shortcut scheme is closely related to the other two but better than them. That is, numerical investigation demonstrates that the shortcut scheme is faster than the adiabatic one, and more robust against operational imperfection than the Zeno one. What is more, the present scheme is also robust against decoherence caused by spontaneous emission and photon loss.