Stabilizing Quantum States by Constructive Design of Open Quantum Dynamics

TL;DR

This paper presents a constructive method to design open quantum dynamics that stabilize any quantum state, demonstrated through a feedback strategy for qubit state stabilization within noise-protected subspaces.

Contribution

It introduces a constructive approach to stabilize any quantum state using Lindblad-GKS generators, advancing control of quantum systems.

Findings

Any quantum state can be stabilized using the proposed Lindblad-GKS generator.

A feedback control strategy achieves global stabilization of a qubit state.

The method is applicable to noise-protected quantum subspaces.

Abstract

Based on recent work on the asymptotic behavior of controlled quantum Markovian dynamics, we show that any generic quantum state can be stabilized by devising constructively a simple Lindblad-GKS generator that can achieve global asymptotic stability at the desired state. The applications of such result is demonstrated by designing a direct feedback strategy that achieves global stabilization of a qubit state encoded in a noise-protected subspace.