Contents

1 Introduction

2 Closed Systems

3 Quantum Fields and Open Quantum Systems
3.1 Boson Fields
3.2 Open Quantum Systems in the (S,L,H) Parametrization
3.3 Examples

4 Interconnection
4.1 Concatenation Product
4.2 Series Product
4.3 Direct Coupling
4.4 Linear Fractional Transform
4.5 Examples

5 Quantum Dissipative Systems
5.1 Dissipativity, Stability, Passivity, Gain
5.2 Example

6 Linear Quantum Systems
6.1 General Model
6.2 Physical Realizability
6.3 Quadrature Representation
6.4 Series Products for Linear Quantum Systems

7 Performance Specifications for Linear Quantum Systems
7.1 Stability, Passivity, Gain
7.2 LQG Performance

8 Coherent Feedback Control
8.1 Closed-Loop Plant-Controller System
8.2 H∞ Control
8.3 LQG Control

9 Network Synthesis

10 Conclusions