基于绝热技术的树形三维纠缠态和NOON态的制备

发布时间：2018-07-07 13:25

本文选题：树形三维纠缠态 + NOON态　；参考：《延边大学》2017年硕士论文

【摘要】：随着量子信息学的发展,人们逐渐认识了量子纠缠,并对其进行了大量深入的研究。由于量子纠缠的非定域性,使得纠缠态在量子信息中取得了广泛的发展和应用。同时,人们对量子纠缠态的制备也给予了很大的关注,这不仅促进了相关的理论和实验技术的发展,也成功的实现了纠缠态在多种物理系统中的制备。本文主要介绍基于腔QED系统利用绝热技术制备新颖的树形三维纠缠态和NOON态的方案。文章的主要内容如下:基于绝热技术,我们提出了一个制备新颖树形三维纠缠态的方案。在我们的方案中,一个原子和两个玻色爱因斯坦凝聚被分别地捕获在三个空间分离的光学腔中。这三个光学腔用两个光纤来连接。通过数值解主方程,我们研究了多种耗散过程对保真度的影响,如原子的自发辐射和光子的泄漏。数值模拟表明,我们的方案对由腔和光纤中光子的泄漏和原子的自发辐射引起的消相干具有鲁棒性。我们能以很高的保真度获得这个新颖的树形三维纠缠态。基于Lewis-Riesenfeld不变量理论和量子Zeno动力学构造绝热捷径,我们提出了一个快速制备NOON态的方案。在方案中,用两个光纤连接三个远距离光学腔系统,两列A型三能级原子被分别地捕获在横向的光学晶格中,并分别在腔A和腔C中同时输入和输出,一个双重A型原子被捕获在腔B中。我们通过数值分析方法研究了光子的泄漏对保真度的影响。数值模拟结果表明,我们的方案不仅操作时间短,而且对消相干具有鲁棒性。以上这些方案在现有的实验条件下都是可以实现的。这些方案将为量子通讯和量子计算的实验实现提供可靠的理论依据。
[Abstract]:With the development of quantum informatics, quantum entanglement has been gradually recognized and studied deeply. Due to the non-localization of quantum entanglement, entangled states have been widely developed and applied in quantum information. At the same time, people pay great attention to the preparation of quantum entangled states, which not only promote the development of related theory and experimental technology, but also successfully realize the preparation of entangled states in various physical systems. In this paper, we introduce a novel scheme for the preparation of dendritic three-dimensional entangled states and NOON states by using adiabatic technique in cavity QED system. The main contents of this paper are as follows: based on adiabatic technique, we propose a scheme to prepare a novel tree-shaped three-dimensional entangled state. In our scheme, one atom and two Bose-Einstein condensates are trapped in three spatially separated optical cavities. The three optical cavities are connected by two optical fibers. By solving the master equation numerically, we study the effects of various dissipative processes on the fidelity, such as spontaneous emission of atoms and photon leakage. Numerical simulation shows that our scheme is robust to the decoherence caused by photon leakage in cavity and fiber and spontaneous emission of atoms. We can obtain this novel tree-shaped three-dimensional entangled state with high fidelity. Based on Lewis-Riesenfeld invariant theory and quantum Zeno dynamics to construct adiabatic shortcuts, we propose a scheme for rapid preparation of NOON states. In the scheme, three long distance optical cavity systems are connected with two optical fibers, and two A-type three-level atoms are trapped in the transverse optical lattice, and input and output are simultaneously in cavity A and cavity C. A double A atom is trapped in cavity B. We studied the effect of photon leakage on fidelity by numerical analysis. The numerical simulation results show that our scheme is not only short operation time, but also robust to decoherence. These schemes can be implemented under the existing experimental conditions. These schemes will provide a reliable theoretical basis for the experimental realization of quantum communication and quantum computing.
【学位授予单位】：延边大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O413.1

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