Quantum Feedback Networks and Control: A Brief Survey

Abstract

The purpose of this paper is to provide a brief review of some recent developments in quantum feedback networks and control. A quantum feedback network (QFN) is an interconnected system consisting of open quantum systems linked by free fields and/or direct physical couplings. Basic network constructs, including series connections as well as feedback loops, are discussed. The quantum feedback network theory provides a natural framework for analysis and design. Basic properties such as dissipation, stability, passivity and gain of open quantum systems are discussed. Control system design is also discussed, primarily in the context of open linear quantum stochastic systems. The issue of physical realizability is discussed, and explicit criteria for stability, positive real lemma, and bounded real lemma are presented. Finally for linear quantum systems, coherent $H^{\infty }$ and LQG control are described.

29 pages, 11 figures. A new reference has been added

References in corpus (9)

• Shor's quantum factoring algorithm on a photonic chip
• Manipulating multi-photon entanglement in waveguide quantum circuits
• Feedback control of quantum state reduction
• Coherent quantum LQG control
• Coherent-feedback quantum control with a dynamic compensator
• Optimal Quantum Filtering and Quantum Feedback Control
• Quantum Coherent Nonlinear Feedbacks with Applications to Quantum Optics on Chip
• Coherent-feedback control strategy to suppress spontaneous switching in ultra-low power optical bistability
• Construction of bilinear control Hamiltonians using the series product and quantum feedback

Cited by in corpus (2)

• Risk-sensitive Dissipativity of Linear Quantum Stochastic Systems under Lur'e Type Perturbations of Hamiltonians
• Paradigms for Quantum Feedback Control