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腔QED和电路QED中的纠缠态和量子逻辑门

目录

摘要.............................................................................................I ABSTRACT......................................................................................III 第1章绪论 (1)

1.1研究背景 (1)

1.2量子信息科学基础 (2)

1.2.1量子纠缠的度量和典型的纠缠态 (3)

1.2.2量子逻辑门 (6)

1.3腔量子电动力学的相关原理 (9)

1.3.1原子-腔QED基本原理 (9)

1.3.2从原子-腔QED到电路QED (13)

1.4研究的目的和意义 (15)

1.5本文研究的主要内容 (16)

第2章超导比特中三比特GHZ态和两比特相位门的构造 (19)

2.1引言 (19)

2.2电荷比特的量子化 (20)

2.3磁通比特的量子化 (25)

2.4三比特GHZ态和两比特相位门的构造方案 (30)

2.5腔膜光子泄露对方案的影响 (33)

2.6本章小结 (37)

第3章电路QED中多比特GHZ态和W类态的产生 (38)

3.1引言 (38)

3.2超导传输线振子的量子化 (39)

3.3多比特GHZ态和W类态的构造方案 (42)

3.3.1系统模型和有效哈密顿 (42)

3.3.2GHZ态和W类态的产生 (43)

3.4数值分析与讨论 (45)

3.5本章小结 (48)

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第4章非旋转波近似下的快速多比特相位门 (49)

4.1引言 (49)

4.2系统模型和有效哈密顿 (51)

4.2.1色散相互作用范围的有效哈密顿 (53)

4.2.2解耦合点的有效哈密顿量 (54)

4.3快速多比特相位门的构造 (54)

4.4数值分析与讨论 (57)

4.4.1保真度演化和退相干影响 (58)

4.4.2高斯型参数波动对保真度的影响 (61)

4.5本章小结 (63)

第5章基于量子反馈控制的稳态Bell态制备 (64)

5.1引言 (64)

5.2基于量子跳跃反馈控制的纠缠稳态制备 (65)

5.3色散情形下的稳态纠缠产生 (71)

5.4本章小结 (78)

结论 (79)

参考文献 (81)

攻读博士学位期间发表的论文 (95)

哈尔滨工业大学学位论文原创性声明和使用权限 (96)

致谢 (97)

个人简历 (99)

-VIII-

Contents

Abstract(In Chinese)..........................................................................I Abstract(In English)..........................................................................III Chapter1Introduction.. (1)

1.1Research background (1)

1.2Foundations of quantum information science (2)

1.2.1The measurement of entanglement and typical entangled state (3)

1.2.2Quantum logical gates (6)

1.3Relevant principle of the cavity quantum electrodynamics (9)

1.3.1Principle of the atom-cavity QED (9)

1.3.2From the atom cavity QED to the circuit QED (13)

1.4Objective and signi?cance of the subject (15)

1.5Main research contents of the dissertation (16)

Chapter2Generation of three-qubit GHZ state and two-qubit quantum phase gate in the superconducting qubits (19)

2.1Introduction (19)

2.2Quantization of charge qubit (20)

2.3Quantization of?ux qubit (25)

2.4Schemes for three-qubit GHZ state and two-qubit quantum phase gate (30)

2.5In?uences of the decay of photons in the cavity (33)

2.6Brief summary (37)

Chapter3Generation of multiqubit GHZ states and W-Class states in circuit QED (38)

3.1Introduction (38)

3.2Quantization of superconducting transmission line resonator (39)

3.3Schemes for multiqubit GHZ states and W-Class states (42)

3.3.1Model of the system and corresponding e?ective Hamiltonian (42)

3.3.2Generation of GHZ states and W-Class states (43)

3.4Numerical analysis and discussion (45)

3.5Brief summary (48)

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Chapter4Fast multiqubit phase gate in circuit QED beyond the rotating-wave approximation (49)

4.1Introduction (49)

4.2The model of the system and the e?ective Hamiltonian (51)

4.2.1E?ective Hamiltonian in the dispersive regime (53)

4.2.2E?ective Hamiltonian in the decoupling point (54)

4.3Fast construction of the multiqubit phase gate (54)

4.4Numerical analysis and discussion (57)

4.4.1Evolution of the?delity and the in?uence of the decoherence (58)

4.4.2In?uence of Gaussian type?uctuation of parameters (61)

4.5Brief summary (63)

Chapter5Steady Bell state generation based on quantum feedback control (64)

5.1Introduction (64)

5.2Entangled steady state generation via quantum-jump-based feedback (65)

5.3Steady entangled state generation in the dispersive regime (71)

5.4Brief summary (78)

Conclusions (79)

References (81)

Papers published in the period of https://www.doczj.com/doc/769285321.html,cation (95)

Statement of copyright and Letter of authorization (96)

Acknowledgements (97)

Resume (99)

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