Implementation of Bilinear Hamiltonian Interactions between Linear Quantum Stochastic Systems via Feedback

TL;DR

This paper proposes a feedback-based method to implement arbitrary bilinear Hamiltonian interactions between linear quantum stochastic systems, enabling engineered quantum interactions beyond naturally occurring ones.

Contribution

It introduces a simple feedback interconnection model to realize any bilinear Hamiltonian interaction between two LQSSs, expanding control capabilities in quantum systems.

Findings

Demonstrates a feedback scheme for arbitrary bilinear interactions

Provides a theoretical framework for engineered quantum Hamiltonian interactions

Enhances control and design of quantum stochastic systems

Abstract

A number of recent works employ bilinear Hamiltonian interactions between Linear Quantum Stochastic Systems (LQSSs). Contrary to naturally occurring Hamiltonian interactions between physical systems, such interactions must be engineered. In this work, we propose a simple model for the implementation of an arbitrary bilinear interaction between two given LQSSs via a feedback interconnection.