LQ Performance of Multi-agent Quantum System

Abstract

For a multi-agent quantum system, this work suggests a distributed consensus-based control to attain linear-quadratic (LQ) performance. When a bilinear problem arises during the problem formulation step, the State Dependent Riccati equation (SDRE) is used. Synchronization is achieved in the studied quantum networks by distributed control. Using Lyapunov theory, the asymptotic stability criterion is developed. The new approach is demonstrated by analyzing a network of spin-1/2 quantum entities. Convergence of state populations, along with the geometrical alignment of Bloch vectors, is demon-strated numerically, confirming the effectiveness of the method proposed. The novel framework offers a systematic approach to stabilization and coordination of quantum networks having finite dimensions.