Control of open quantum systems via dynamical invariants

TL;DR

This paper introduces a novel control method for open quantum systems using dynamical invariants, improving robustness against noise and dissipation without iterative state propagation, demonstrated on two fundamental models.

Contribution

It develops a reverse engineering control protocol based on dynamical invariants that handles time-dependent dissipation in open quantum systems, enhancing robustness and efficiency.

Findings

Effective control of two-level systems under environmental noise.

Robust manipulation of quantum harmonic oscillators with dissipation.

Elimination of iterative state propagation in control protocols.

Abstract

In this study, we address the challenge of controlling quantum systems under environmental influences using the theory of dynamical invariants. We employ a reverse engineering approach to develop control protocols designed to be robust against environmental noise and dissipation. This technique offers significant improvements over traditional quantum control methods by accounting for the time-dependent dissipation factor in the master equation, which results from modulating the system's Hamiltonian (the control fields). Additionally, our method obviates the need for iterative propagation of the system state, a resource-intensive process. The method can be applied to any open system dynamics that can be described using a time-dependent Master equation. We demonstrate the effectiveness and practicality of our approach through applications to two fundamental models: a two-level quantum system and a quantum harmonic oscillator, both interacting with a thermal bath.