Control of quantum systems :
Cong, Shuang.
Control of quantum systems : theory and methods / Shuang Cong. - 1 online resource.
Includes bibliographical references and index.
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 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 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 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 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
"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"-- "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"--
9781118608142 1118608143 9781118608159 1118608151 9781118608135 1118608135 1118608127 9781118608128
2013039816
Quantum systems--Automatic control.
Control theory.
Control theory.
Quantum systems--Automatic control.
TECHNOLOGY & ENGINEERING--Quality Control.
Electronic books.
TK7874.885
530.1201/1
Control of quantum systems : theory and methods / Shuang Cong. - 1 online resource.
Includes bibliographical references and index.
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 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 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 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 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
"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"-- "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"--
9781118608142 1118608143 9781118608159 1118608151 9781118608135 1118608135 1118608127 9781118608128
2013039816
Quantum systems--Automatic control.
Control theory.
Control theory.
Quantum systems--Automatic control.
TECHNOLOGY & ENGINEERING--Quality Control.
Electronic books.
TK7874.885
530.1201/1