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Control of quantum systems : theory and methods / / Shuang Cong
| Control of quantum systems : theory and methods / / Shuang Cong |
| Autore | Cong Shuang |
| Pubbl/distr/stampa | Singapore : , : John Wiley & Sons, , 2014 |
| Descrizione fisica | 1 online resource (445 p.) |
| Disciplina | 530.1201/1 |
| Soggetto topico |
Quantum systems - Automatic control
Control theory |
| ISBN |
1-118-60815-1
1-118-60813-5 1-118-60814-3 |
| Classificazione | TEC032000 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; About the Author; Preface; Chapter 1 Introduction; 1.1 Quantum States; 1.2 Quantum Systems Control Models; 1.2.1 Schrödinger Equation; 1.2.2 Liouville Equation; 1.2.3 Markovian Master Equations; 1.2.4 Non-Markovian Master Equations; 1.3 Structures of Quantum Control Systems; 1.4 Control Tasks and Objectives; 1.5 System Characteristics Analyses; 1.5.1 Controllability; 1.5.2 Reachability; 1.5.3 Observability; 1.5.4 Stability; 1.5.5 Convergence; 1.5.6 Robustness; 1.6 Performance of Control Systems; 1.6.1 Probability; 1.6.2 Fidelity; 1.6.3 Purity
1.7 Quantum Systems Control 1.7.1 Description of Control Problems; 1.7.2 Quantum Control Theory and Methods; 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; 2.1.1 Pure State Expression on the Bloch Sphere; 2.1.2 Mixed States in the Bloch Sphere; 2.1.3 Control Trajectory on the Bloch Sphere; 2.2 State Transfer of Quantum Systems on the Bloch Sphere; 2.2.1 Control of a Single Spin-1/2 Particle; 2.2.2 Situation with the Minimum Ωt of Control Fields 2.2.3 Situation with a Fixed Time T2.2.4 Numerical Simulations and Results Analyses; References; Chapter 3 Control Methods of Closed Quantum Systems; 3.1 Improved Optimal Control Strategies Applied in Quantum Systems; 3.1.1 Optimal Control of Quantum Systems; 3.1.2 Improved Quantum Optimal Control Method; 3.1.3 Krotov-Based Method of Optimal Control; 3.1.4 Numerical Simulation and Performance Analysis; 3.2 Control Design of High-Dimensional Spin-1/2 Quantum Systems; 3.2.1 Coherent Population Transfer Approaches 3.2.2 Relationships between the Hamiltonian of Spin-1/2 Quantum Systems under Control and the Sequence of Pulses 3.2.3 Design of the Control Sequence of Pulses; 3.2.4 Simulation Experiments of Population Transfer; 3.3 Comparison of Time Optimal Control for Two-Level Quantum Systems; 3.3.1 Description of System Model; 3.3.2 Geometric Control; 3.3.3 Bang-Bang Control; 3.3.4 Time Comparisons of Two Control Strategies; 3.3.5 Numerical Simulation Experiments and Results Analyses; 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; 4.2.1 Selection of the Lyapunov Function; 4.2.2 Design of the Feedback Control Law; 4.2.3 Analysis and Proof of the Stability; 4.2.4 Application to a Spin-1/2 Particle System; 4.3 Optimal Quantum Control Based on the Lyapunov Stability Theorem; 4.3.1 Description of the System Model; 4.3.2 Optimal Control Law Design and Property Analysis; 4.3.3 Simulation Experiments and the Results Comparisons; 4.4 Realization of the Quantum Hadamard Gate Based on the Lyapunov Method; 4.4.1 Mathematical Model 4.4.2 Realization of the Quantum Hadamard Gate |
| Record Nr. | UNINA-9910140268503321 |
Cong Shuang
|
||
| Singapore : , : John Wiley & Sons, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Control of quantum systems : theory and methods / / Shuang Cong
| Control of quantum systems : theory and methods / / Shuang Cong |
| Autore | Cong Shuang |
| Pubbl/distr/stampa | Singapore : , : John Wiley & Sons, , 2014 |
| Descrizione fisica | 1 online resource (445 p.) |
| Disciplina | 530.1201/1 |
| Soggetto topico |
Quantum systems - Automatic control
Control theory |
| ISBN |
1-118-60815-1
1-118-60813-5 1-118-60814-3 |
| Classificazione | TEC032000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; About the Author; Preface; Chapter 1 Introduction; 1.1 Quantum States; 1.2 Quantum Systems Control Models; 1.2.1 Schrödinger Equation; 1.2.2 Liouville Equation; 1.2.3 Markovian Master Equations; 1.2.4 Non-Markovian Master Equations; 1.3 Structures of Quantum Control Systems; 1.4 Control Tasks and Objectives; 1.5 System Characteristics Analyses; 1.5.1 Controllability; 1.5.2 Reachability; 1.5.3 Observability; 1.5.4 Stability; 1.5.5 Convergence; 1.5.6 Robustness; 1.6 Performance of Control Systems; 1.6.1 Probability; 1.6.2 Fidelity; 1.6.3 Purity
1.7 Quantum Systems Control 1.7.1 Description of Control Problems; 1.7.2 Quantum Control Theory and Methods; 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; 2.1.1 Pure State Expression on the Bloch Sphere; 2.1.2 Mixed States in the Bloch Sphere; 2.1.3 Control Trajectory on the Bloch Sphere; 2.2 State Transfer of Quantum Systems on the Bloch Sphere; 2.2.1 Control of a Single Spin-1/2 Particle; 2.2.2 Situation with the Minimum Ωt of Control Fields 2.2.3 Situation with a Fixed Time T2.2.4 Numerical Simulations and Results Analyses; References; Chapter 3 Control Methods of Closed Quantum Systems; 3.1 Improved Optimal Control Strategies Applied in Quantum Systems; 3.1.1 Optimal Control of Quantum Systems; 3.1.2 Improved Quantum Optimal Control Method; 3.1.3 Krotov-Based Method of Optimal Control; 3.1.4 Numerical Simulation and Performance Analysis; 3.2 Control Design of High-Dimensional Spin-1/2 Quantum Systems; 3.2.1 Coherent Population Transfer Approaches 3.2.2 Relationships between the Hamiltonian of Spin-1/2 Quantum Systems under Control and the Sequence of Pulses 3.2.3 Design of the Control Sequence of Pulses; 3.2.4 Simulation Experiments of Population Transfer; 3.3 Comparison of Time Optimal Control for Two-Level Quantum Systems; 3.3.1 Description of System Model; 3.3.2 Geometric Control; 3.3.3 Bang-Bang Control; 3.3.4 Time Comparisons of Two Control Strategies; 3.3.5 Numerical Simulation Experiments and Results Analyses; 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; 4.2.1 Selection of the Lyapunov Function; 4.2.2 Design of the Feedback Control Law; 4.2.3 Analysis and Proof of the Stability; 4.2.4 Application to a Spin-1/2 Particle System; 4.3 Optimal Quantum Control Based on the Lyapunov Stability Theorem; 4.3.1 Description of the System Model; 4.3.2 Optimal Control Law Design and Property Analysis; 4.3.3 Simulation Experiments and the Results Comparisons; 4.4 Realization of the Quantum Hadamard Gate Based on the Lyapunov Method; 4.4.1 Mathematical Model 4.4.2 Realization of the Quantum Hadamard Gate |
| Record Nr. | UNINA-9910819755503321 |
|
Cong Shuang
|
||
| Singapore : , : John Wiley & Sons, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||