Completely positive approximate solutions of driven open quantum systems

TL;DR

This paper introduces a perturbative method for solving time-dependent Lindblad master equations that guarantees complete positivity, significantly enhancing the accuracy of quantum system simulations and control.

Contribution

It presents a novel perturbative approximation method that maintains complete positivity for driven open quantum systems, improving solution accuracy.

Findings

Ensures complete positivity in approximate solutions.

Explicit examples demonstrate improved accuracy.

Applicable to quantum simulations and control.

Abstract

We define a perturbative approximation for the solution of Lindblad master equations with time-dependent generators that satisfies the fundamental property of complete positivity, as essential for quantum simulations and optimal control. With explicit examples we show that ensuring this property substantially improves the accuracy of the perturbative approximation.