Noise-Assisted Feedback Control of Open Quantum Systems for Ground State Properties

TL;DR

This paper introduces a quantum simulation method that incorporates noise and feedback control to study open quantum systems, enabling the calculation of ground-state properties beyond standard approximations.

Contribution

It presents a novel quantum algorithm that uses feedback-controlled, noise-assisted dynamics to determine ground-state properties, including non-Markovian effects.

Findings

Enables simulation of non-Markovian open quantum dynamics

Uses feedback control to steer systems toward target states

Provides a framework for robust quantum control protocols

Abstract

Intrinsic noise in pre-fault-tolerant quantum devices poses a major challenge to the reliable realization of unitary dynamics in quantum algorithms and simulations. To address this, we present a method for simulating open quantum system dynamics on a quantum computer, including negative dissipation rates in the Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) master equation. Our approach lies beyond the standard Markovian approximation, enabling the controlled study of non-Markovian processes within a quantum simulation framework. Using this method, we develop a quantum algorithm for calculating ground-state properties that exploits feedback-controlled, noise-assisted dynamics. In this scheme, Lyapunov-based feedback steers the system toward a target virtual state under engineered noise conditions. This framework offers a promising strategy for harnessing current quantum hardware and advancing robust control protocols based on open system dynamics.