Control of quantum systems : theory and methods /

• Κύριος συγγραφέας: Cong, Shuang
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : John Wiley & Sons Inc., 2014.
• Θέματα: Quantum systems > Automatic control.; Control theory.; TECHNOLOGY & ENGINEERING > Quality Control.; Electronic books.

"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...

Πίνακας περιεχομένων:

• 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