| Abstract | 第5-6页 |
| 中文摘要 | 第7-14页 |
| Chapter 1 Introduction | 第14-26页 |
| 1.1 Quantum state | 第14-16页 |
| 1.2 Quantum gate | 第16-17页 |
| 1.3 Quantum control tasks and objectives | 第17-24页 |
| 1.3.1 Quantum gates preparation and suppressing the dissipation caused bythe environment | 第19-22页 |
| 1.3.2 Quantum gates preparation and deduction the unwanted effects ofcoupling between the qubits | 第22-24页 |
| 1.4 Thesis overview | 第24-26页 |
| Chapter 2 Theory of quantum control systems | 第26-36页 |
| 2.1 The models of quantum control systems | 第26-29页 |
| 2.1.1 Schrodinger Equation | 第27页 |
| 2.1.2 Liouville Equation | 第27-28页 |
| 2.1.3 Markovian Master Equations | 第28-29页 |
| 2.1.4 Non-Markovian Master Equations | 第29页 |
| 2.2 The formations of quantum control systems | 第29-30页 |
| 2.3 Control objectives, and performance indices | 第30-32页 |
| 2.3.1 Control objectives | 第30-31页 |
| 2.3.2 Performance indices | 第31-32页 |
| 2.4 Bloch sphere representation | 第32-34页 |
| 2.4.1 Bloch sphere to show the pure states | 第33页 |
| 2.4.2 Bloch sphere to show the mixed states | 第33-34页 |
| 2.5 Lie algebra decompositions | 第34-36页 |
| 2.5.1 Lie Algebras | 第34-35页 |
| 2.5.2 Semisimple Lie algebras and cartan decomposition | 第35-36页 |
| Chapter 3 Quantum gate preparation for a two-level system via dynamical-transferred evolution based on the Lyapunov stability theorem | 第36-52页 |
| 3.1 The system modeling and dynamical transferring | 第36-41页 |
| 3.2 Design of Lyapunov-based control laws | 第41-44页 |
| 3.3 Numerical simulation and performance analysis | 第44-52页 |
| 3.3.1 Analysis of Preparation the Hadamard Gate via performance indices | 第45-49页 |
| 3.3.2 The evolution of State-transferring | 第49-50页 |
| 3.3.3 Comparison and result discussion | 第50-52页 |
| Chapter 4 Realization of quantum gates via decomposition method in a four-levelquantum system | 第52-68页 |
| 4.1 Mathematic model for the two-spin system and description of relatedHamiltonians | 第52-54页 |
| 4.2 Analysis of quantum CNOT gate via Cartan decomposition | 第54-59页 |
| 4.2.1 Canonical decomposition of the unitary gate | 第54-56页 |
| 4.2.2 Realization process of the CNOT gate by Cartan Decomposition | 第56-59页 |
| 4.3 Design of Lyapunov control fields | 第59-61页 |
| 4.4 Numerical experiments and result discussions | 第61-68页 |
| Chapter 5 Preparing the Hadamard and CNOT gates to realize the maximumentangled states | 第68-86页 |
| 5.1 Model description of the single-spin and two-spin systems | 第68-70页 |
| 5.2 Realizing of Hadamard and CNOT gates to achieve the Bell states viadecomposition method | 第70-78页 |
| 5.2.1 Canonical decomposition of the unitary gates | 第72-74页 |
| 5.2.2 Realization process of the Hadamard and CNOT gates by CartanDecomposition | 第74-78页 |
| 5.2.2.1 Cartan Decomposition process in realization of the Hadamard gate | 第75-76页 |
| 5.2.2.2 Cartan Decomposition process in realization of the CNOT gate | 第76-78页 |
| 5.3 The design process of control function and control laws | 第78-82页 |
| 5.4 Experimental simulations and result discussions | 第82-86页 |
| Chapter 6 Conclusion | 第86-88页 |
| References | 第88-94页 |
| Acknowledgement | 第94-96页 |
| Published Paper Lists | 第96页 |
| List of Foundations participation | 第96页 |
