How fast and robust is the quantum adiabatic passage?

TL;DR

This paper investigates the speed and robustness of quantum adiabatic passage by formulating it as a quantum brachistochrone problem, deriving optimal Hamiltonians, and analyzing stability based on least action principles.

Contribution

It introduces a novel formulation of adiabatic passage as a quantum brachistochrone problem, providing a method to find optimal Hamiltonians and assess stability.

Findings

Optimal Hamiltonians derived from quantum brachistochrone equation

Adiabatic passage stability analyzed via least action principle

Framework for faster and more robust quantum state transfer

Abstract

We study the assisted adiabatic passage, and equivalently the transitionless quantum driving, as a quantum brachistochrone trajectory. The optimal Hamiltonian for given constraints is constructed from the quantum brachistochrone equation. We discuss how the adiabatic passage is realized as the solution of the equation. The formulation of the quantum brachistochrone is based on the principle of least action. We utilize it to discuss the stability of the adiabatic passage.