文摘
英文文摘
声明
0 Preface
1 Entanglement in Quantum World
1.1 What is Entangled State
1.2 Measures of Entanglement
1.2.1 Pure State Entanglement
1.2.2 Mixed State Entanglement
1.3 Entanglement in Quantum Information Science
1.3.1 Quantum Key Distribution
1.3.2 Quantum Teleportation
1.3.3 Other Applications of Entanglement
1.3.4 Quantum Computation
1.4 Conclusion
2 Thermal Entanglement in Heisenberg Model
2.1 Spin-1/2 Heisenberg Model with Short Range Interactions
2.2 Thermal Pairwise Entanglement
2.2.1 XXX Model
2.2.2 Ising Model
2.3 Pairwise Entanglement in the T≠0 Critical Region
2.4 Spin Models with Defects
2.5 Conclusion
3 Thermal Entanglement in a Two-qubit XYZ Chain
3.1 Introduction
3.2 The Hamiltonian of the Model
3.3 The solution of the Model
3.4 The thermal entanglement
3.5 Conclusion
4 Thermal Entanglement in N-qubit Heisenberg XX Chain
4.1 Introduction
4.2 The XX Model in a Uniform Magnetic Field
4.2.1 The Hamiltonian of the Model
4.2.2 The Solution of the Model
4.3 The Pairwise Thermal Entanglement
4.4 Conclusion
5 Thermal Entanglement in a 2D J1 - J2 Model
5.1 Introduction
5.2 The Model
5.3 The Solution and Discussion
5.3.1 Case 1: The Four Qubits 1, 4, 8 and 5
5.3.2 Case 2: The Four Qubits 3, 1, 2 and 5
5.3.3 Case 3: The Four Qubits 1, 2, 3 and 7
5.4 Conclusion
6 Summary and Outlook
References
Acknowledgements
List of Publications