Linear dynamical quantum systems : analysis, synthesis, and control /: analysis, synthesis, and control. (2017)

• Record Type: Book
• Further Information: Note: Hendra I Nurdin, Naoki Yamamoto.
• Authors: Nurdin, Hendra I; Yamamoto, Naoki
• Contents: Preface; Contents; Notation; 1 Introduction; 1.1 Quantum Feedback Control: A Brief History; 1.2 Classical Linear Systems and Control Theory; 1.2.1 Classical Linear Systems; 1.2.2 Linear Systems and Control Theory; 1.2.3 Toward Systems and Control Theory for Linear Quantum Systems; 1.3 Closed Linear Quantum Systems; 1.4 Open Quantum Systems, the Markov #x83;; 1.4.1 Open Quantum Systems; 1.4.2 Illustration of the Markov Approximation and Markov Open Quantum System Dynamics; 1.5 Linear Dynamical Quantum Systems: Description and Physical Examples; 1.5.1 Optical Cavities. 1.5.2 Non-degenerate Optical Parametric Amplifiers1.5.3 Degenerate Parametric Amplifiers/Optical Parametric Oscillators; 1.5.4 Opto-mechanical Systems; 1.5.5 Large Atomic Ensemble; References; 2 Mathematical Modeling of Linear Dynamical Quantum Systems; 2.1 Quantum Stochastic Calculus; 2.1.1 The Boson Fock Space, Exponential Vectors, and Fundamental Processes on the Fock Space; 2.1.2 Adapted Processes and Quantum Stochastic Integrals; 2.1.3 The Quantum Itō Table in Vacuum and the Quantum Itō Rule; 2.1.4 The Hudson -- Parthasarathy Quantum Stochastic Differential Equation. 2.2 Linear Dynamical Quantum Systems: Joint Unitary Evolution of Oscillators and Boson Fields2.3 Equations of Motion: Real Quadrature Form and Complex Mode Form; 2.3.1 Real Quadrature Form; 2.3.2 Complex Mode Form; 2.3.3 Transfer Function of Linear Dynamical Quantum Systems; 2.4 Inclusion of Idealized Static Transformations on Bosonic Fields #x83;; 2.4.1 Completely Passive Linear Dynamical Quantum Systems; 2.5 Physical Realizability Conditions and Parameterizations #x83;; 2.5.1 Physical Realizability Conditions for Linear QSDEs; 2.5.2 Parameterization of Linear Dynamical Quantum Systems. 2.5.3 Linear Dynamical Quantum Systems with Less Outputs Than Inputs2.6 Stability of Linear Quantum Systems; 2.7 Gaussian States; 2.7.1 Gaussian State of a Collection of Single-Mode Oscillators; 2.7.2 Gaussian States of the Field and Their Fock Space Representation; 2.7.3 Coherent States; 2.7.4 Coherent States of a Single-Mode Oscillator; 2.7.5 Coherent States of a Bosonic Field; References; 3 Realization Theory for Linear Dynamical Quantum Systems; 3.1 Architecture for Strict Realization; 3.1.1 The Concatenation and Series Product and Reducible Quantum Networks; 3.1.2 Main Synthesis Theorem. 3.1.3 Systematic Synthesis of Linear Quantum Systems3.1.4 Illustrative Synthesis Example; 3.2 Architecture for Strict Realization Using Quantum Feedback Networks; 3.2.1 The Model Matrix and Concatenation of Model Matrices; 3.2.2 Edges, Elimination of Edges, and Reduced Markov Models; 3.2.3 Main Synthesis Results; 3.2.4 Synthesis of Completely Passive Systems; 3.3 Transfer Function Realization; 3.3.1 Pure Cascade Realization of the Transfer Function of Linear Quantum Systems; 3.3.2 Conditions for Realizability by a Pure Cascade Connection.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource (xv, 262 pages), illustrations
• Subjects: 530.12; Engineering; Quantum theory; Linear systems; SCIENCE -- Energy; SCIENCE -- Mechanics -- General; SCIENCE -- Physics -- General; Linear systems; Quantum theory; Engineering; Control; Quantum Physics; Systems Theory, Control; Quantum Information Technology, Spintronics; Quantum Optics; Science -- Quantum Theory; Science -- System Theory; Computers -- Information Technology; Science -- Optics; Quantum physics (quantum mechanics & quantum field theory); Cybernetics & systems theory; Optical physics; Systems theory; Technology & Engineering -- Automation; Automatic control engineering; Electronic books; Electronic book
• Languages: English
• ISBNs: 9783319552019; 3319552015
• Related ISBNs: 9783319551999; 331955199X
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed May 22, 2017).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.