Shortcuts to adiabatic passage for fast generation of Greenberger-Horne-Zeilinger states by transitionless quantum driving

TL;DR

This paper develops a fast, robust method for generating GHZ states in a three-atom system using shortcuts to adiabatic passage based on transitionless quantum driving, quantum Zeno dynamics, and non-resonant lasers.

Contribution

It introduces a novel shortcut technique for adiabatic passage to efficiently produce GHZ states, improving speed and robustness over traditional methods.

Findings

The scheme achieves fast GHZ state generation.

It demonstrates robustness against decoherence.

Numerical simulations confirm high fidelity under realistic conditions.

Abstract

Berry's approach on "transitionless quantum driving" shows how to set a Hamiltonian which drives the dynamics of a system along instantaneous eigenstates of a reference Hamiltonian to reproduce the same final result of an adiabatic process in a shorter time. In this paper, motivated by transitionless quantum driving, we construct shortcuts to adiabatic passage in a three-atom system to create the Greenberger-Horne-Zeilinger states with the help of quantum Zeno dynamics and of non-resonant lasers. The influence of various decoherence processes is discussed by numerical simulation and the result proves that the scheme is fast and robust against decoherence and operational imperfection.