Almost Global Stochastic Feedback Stabilization of Conditional Quantum Dynamics

TL;DR

This paper introduces new feedback control methods for quantum state reduction that ensure almost global stabilization using Lyapunov techniques, leveraging the physics of quantum filtering.

Contribution

It presents parametrization-free feedback laws for quantum stabilization with analytical proofs of almost global stochastic stability.

Findings

Designed feedback laws achieve almost global stabilization

Lyapunov techniques verify stability analytically

Methods are based on quantum filtering variance

Abstract

We propose several parametrization-free solutions to the problem of quantum state reduction control by means of continuous measurement and smooth quantum feedback. In particular, we design a feedback law for which almost global stochastic feedback stabilization can be proved analytically by means of Lyapunov techinques. This synthesis arises very naturally from the physics of the problem, as it relies on the variance associated with the quantum filtering process.