Cascade cavity realization for a class of complex transfer functions arising in coherent quantum feedback control

DOI10.1016/J.AUTOMATICA.2011.03.006zbMath1226.93071OpenAlexW1996639332MaRDI QIDQ642930

Ian R. Petersen

Publication date: 27 October 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.03.006

zbMATH Keywords

physical realizabilitycascade realizationcoherent quantum feedback controllinear quantum systems

Mathematics Subject Classification ID

Feedback control (93B52) Linear systems in control theory (93C05) Quantum control (81Q93)

Related Items (12)

Fault-tolerant \(H^\infty\) control for optical parametric oscillators with pumping fluctuations ⋮ On physical realizability of nonlinear quantum stochastic differential equations ⋮ Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment ⋮ Dynamical analysis of quantum linear systems driven by multi-channel multi-photon states ⋮ Linear Quantum System Transfer Function Realization Using Static Networks for Input/Output Processing and Feedback ⋮ On realization theory of quantum linear systems ⋮ Pure Gaussian state generation via dissipation: a quantum stochastic differential equation approach ⋮ State response and controllability for con-number-valued systems with applications to a class of quantum systems ⋮ Low frequency approximation for a class of linear quantum systems using cascade cavity realization ⋮ Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel ⋮ Witnessing the boundary between Markovian and non-Markovian quantum dynamics: a Green's function approach ⋮ Spatial Control Model and Analysis of Quantum Fields in One-Dimensional Waveguides

Cites Work

• Unnamed Item
• Quantum Ito's formula and stochastic evolutions
• Coherent quantum LQG control
• Fast projection methods for minimal design problems in linear system theory
• Quantum control and quantum entanglement
• An Introduction to Quantum Filtering
• Network Synthesis of Linear Dynamical Quantum Stochastic Systems
• $H^{\infty}$ Control of Linear Quantum Stochastic Systems
• The Series Product and Its Application to Quantum Feedforward and Feedback Networks
• Synthesis of Linear Quantum Stochastic Systems via Quantum Feedback Networks
• Transfer function approach to quantum control- part I: dynamics of quantum feedback systems
• Transfer function approach to quantum control- part II: control concepts and applications
• Coherent $H^{\infty }$ Control for a Class of Annihilation Operator Linear Quantum Systems
• Quantum noise. A handbook of Markovian and non-Markovian quantum stochastic methods with applications to quantum optics.
• Quantum feedback networks: Hamiltonian formulation

This page was built for publication: Cascade cavity realization for a class of complex transfer functions arising in coherent quantum feedback control