Time Averaged Consensus in a Direct Coupled Distributed Coherent Quantum Observer

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.