Time Averaged Consensus in a Direct Coupled Distributed Coherent Quantum Observer

TL;DR

This paper develops a distributed quantum observer composed of harmonic oscillators that achieves consensus on the plant's output through time-averaged convergence, demonstrated via example and simulations.

Contribution

It introduces a novel distributed direct coupling quantum observer architecture that ensures convergence to a consensus in a quantum system.

Findings

The distributed observer converges to the plant's output in a time-averaged sense.

The proposed method is validated through simulations.

The observer is composed of a network of quantum harmonic oscillators.

Abstract

This paper considers the problem of constructing a distributed direct coupling quantum observer for a closed linear quantum system. The proposed distributed observer consists of a network of quantum harmonic oscillators and it is shown that the distributed observer converges to a consensus in a time averaged sense in which each component of the observer estimates the specified output of the quantum plant. An example and simulations are included to illustrate the properties of the distributed observer.