| Description |
1 online resource |
| Contents |
880-01 Title Page; Copyright; About the Author; Preface; Chapter 1: Introduction; 1.1 Quantum States; 1.2 Quantum Systems Control Models; 1.3 Structures of Quantum Control Systems; 1.4 Control Tasks and Objectives; 1.5 System Characteristics Analyses; 1.6 Performance of Control Systems; 1.7 Quantum Systems Control; 1.8 Overview of the Book; References; Chapter 2: State Transfer and Analysis of Quantum Systems on the Bloch Sphere; 2.1 Analysis of a Two-level Quantum System State; 2.2 State Transfer of Quantum Systems on the Bloch Sphere; References |
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880-01/(S Contents note continued: 13.1. State Transfer and Coherence Maintainance Based on DFS for a Four-Level Energy Open Quantum System -- 13.1.1. Construction of DFS and the Desired Target State -- 13.1.2. Design of the Lyapunov-Based Control Law for State Transfer -- 13.1.3. Numerical Simulations -- 13.2. State Transfer Based on a Decoherence-Free Target State for a Λ-Type N-Level Atomic System -- 13.2.1. Construction of the Decoherence-Free Target State -- 13.2.2. Design of the Lyapunov-Based Control Law for State Transfer -- 13.2.3. Numerical Simulations and Results Analyses -- 13.3. Control of Quantum States Based on the Lyapunov Method in Decoherence-Free Subspaces -- 13.3.1. Problem Description -- 13.3.2. Control Design in the Interaction Picture -- 13.3.3. Construction of P and Convergence Analysis -- 13.3.4. Numerical Simulation Examples and Discussion -- References -- 14. Dynamic Decoupling Quantum Control Methods -- 14.1. Phase Decoherence Suppression of an n-Level Atom in Ξ-Configuration with Bang-Bang Controls -- 14.1.1. Dynamical Decoupling Mechanism -- 14.1.2. Design of the Bang--Bang Operations Group in Phase Decoherence -- 14.1.3. Examples of Design -- 14.2. Optimized Dynamical Decoupling in Ξ-Type n-Level Atom -- 14.2.1. Periodic Dynamical Decoupling -- 14.2.2. Uhrig Dynamical Decoupling -- 14.2.3. Behaviors of Quantum Coherence under Various Dynamical Decoupling Schemes -- 14.2.4. Examples -- 14.2.5. Discussion -- 14.3. Optimized Dynamical Decoupling Strategy to Suppress Decoherence -- 14.3.1. Universal Dynamical Decoupling for a Qubit -- 14.3.2. Optimized Dynamical Decoupling Scheme -- 14.3.3. Simulation and Comparison -- 14.3.4. Discussion -- References -- 15. Trajectory Tracking of Quantum Systems -- 15.1. Orbit Tracking of Quantum States Based on the Lyapunov Method -- 15.1.1. Description of the System Model -- 15.1.2. Design of Control Law -- 15.1.3. Numerical Simulation Experiments and Results Analysis -- 15.2. Orbit Tracking Control of Quantum Systems -- 15.2.1. System Model and Control Law Design -- 15.2.2. Numerical Simulation Experiments -- 15.3. Adaptive Trajectory Tracking of Quantum Systems -- 15.3.1. Description of the System Model -- 15.3.2. Control System Design and Characteristic Analysis -- 15.3.3. Numerical Simulation and Result Analysis -- 15.4. Convergence of Orbit Tracking for Quantum Systems -- 15.4.1. Description of the Control System Model -- 15.4.2. Control Law Derivation -- 15.4.3. Convergence Analysis -- 15.4.4. Applications and Experimental Results Analyses -- References |
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Chapter 3: Control Methods of Closed Quantum Systems3.1 Improved Optimal Control Strategies Applied in Quantum Systems; 3.2 Control Design of High-Dimensional Spin-1/2 Quantum Systems; 3.3 Comparison of Time Optimal Control for Two-Level Quantum Systems; References; Chapter 4: Manipulation of Eigenstates-Based on Lyapunov Method; 4.1 Principle of the Lyapunov Stability Theorem; 4.2 Quantum Control Strategy Based on State Distance; 4.3 Optimal Quantum Control Based on the Lyapunov Stability Theorem; 4.4 Realization of the Quantum Hadamard Gate Based on the Lyapunov Method; References |
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Chapter 5: Population Control Based on the Lyapunov Method5.1 Population Control of Equilibrium State; 5.2 Generalized Control of Quantum Systems in the Frame of Vector Treatment; 5.3 Population Control of Eigenstates; References; Chapter 6: Quantum General State Control Based on Lyapunov Method; 6.1 Pure State Manipulation; 6.2 Optimal Control Strategy of the Superposition State; 6.3 Optimal Control of Mixed-State Quantum Systems; 6.4 Arbitrary Pure State to a Mixed-State Manipulation; References; Chapter 7: Convergence Analysis Based on the Lyapunov Stability Theorem |
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7.1 Population Control of Quantum States Based on Invariant Subsets with the Diagonal Lyapunov Function7.2 A Convergent Control Strategy of Quantum Systems; 7.3 Path Programming Control Strategy of Quantum State Transfer; References; Chapter 8: Control Theory and Methods in Degenerate Cases; 8.1 Implicit Lyapunov Control of Multi-Control Hamiltonian Systems Based on State Error; 8.2 Quantum Lyapunov Control Based on the Average Value of an Imaginary Mechanical Quantity; 8.3 Implicit Lyapunov Control for the Quantum Liouville Equation; References |
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Chapter 9: Manipulation Methods of the General State9.1 Quantum System Schmidt Decomposition and its Geometric Analysis; 9.2 Preparation of Entanglement States in a Two-Spin System; 9.3 Purification of the Mixed State for Two-Dimensional Systems; References; Chapter 10: State Control of Open Quantum Systems; 10.1 State Transfer of Open Quantum Systems with a Single Control Field; 10.2 Purity and Coherence Compensation through the Interaction between Particles; Appendix 10.A Proof of Equation 10.59; References; Chapter 11: State Estimation, Measurement, and Control of Quantum Systems |
| Summary |
"Control of Quantum Systems: Theory and Methods provides an insight into the modern approaches to control of quantum systems evolution, with a focus on both closed and open (dissipative) quantum systems. The topic is timely covering the newest research in the field, and presents and summarizes practical methods and addresses the more theoretical aspects of control, which are of high current interest, but which are not covered at this level in other text books. The quantum control theory and methods written in the book are the results of combination of macro-control theory and microscopic quantum system features. As the development of the nanotechnology progresses, the quantum control theory and methods proposed today are expected to be useful in real quantum systems within five years. The progress of the quantum control theory and methods will promote the progress and development of quantum information, quantum computing, and quantum communication"-- Provided by publisher |
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"Control of Quantum Systems: Theory and Methods provides an insight into the modern approaches to control of quantum systems evolution, with a focus on both closed and open (dissipative) quantum systems"-- Provided by publisher |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record and CIP data provided by publisher |
| Subject |
Quantum systems -- Automatic control
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Control theory.
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TECHNOLOGY & ENGINEERING -- Quality Control.
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Control theory
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| Form |
Electronic book
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| LC no. |
2013039816 |
| ISBN |
9781118608142 |
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1118608143 |
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9781118608159 |
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1118608151 |
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9781118608135 |
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1118608135 |
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1118608127 |
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9781118608128 |
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