Time Averaged Consensus in a Direct Coupled Coherent Quantum Observer Network for a Single Qubit Finite Level Quantum System

TL;DR

This paper develops a quantum observer network for a single qubit system, demonstrating that the network's outputs converge to the plant's outputs in a time-averaged sense, with simulations validating the approach.

Contribution

It introduces a novel direct coupled quantum observer network using harmonic oscillators that achieves consensus on the quantum plant outputs.

Findings

Observer network output converges to the plant output in a time-averaged sense.

The network is composed of quantum harmonic oscillators.

Simulations confirm the theoretical convergence results.

Abstract

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