Universal Digitized Counterdiabatic Driving

TL;DR

This paper introduces a universal digitized counterdiabatic driving method that constructs the adiabatic gauge potential digitally, avoiding complex interactions and enabling explicit digital implementation, validated through analytical and numerical results.

Contribution

It presents a novel universal digitized counterdiabatic driving approach that simplifies implementation and enhances flexibility compared to existing methods.

Findings

Method avoids many-body and nonlocal interactions.

Incorporates infinite nested commutators for gauge potential.

Provides explicit digital rotation angles for implementation.

Abstract

Counterdiabatic driving realizes parameter displacement of an energy eigenstate of a given parametrized Hamiltonian using the adiabatic gauge potential. In this paper, we propose a universal method of digitized counterdiabatic driving, constructing the adiabatic gauge potential in a digital way with the idea of universal counterdiabatic driving. This method has three advantages over existing universal counterdiabatic driving and/or digitized counterdiabatic driving: it does not introduce any many-body and/or nonlocal interactions to an original target Hamiltonian; it can incorporate infinite nested commutators, which constitute the adiabatic gauge potential; and it gives explicit expression of rotation angles for digital implementation. We show the consistency of our method to the exact theory in an analytical way and the effectiveness of our method with the aid of numerical simulations.