基于量子点实现量子操作的理论研究
发布时间：2018-09-18 14:29
【摘要】：随着纳米材料科学和实验技术的发展,在原子和分子体系的研究积累和相关理论研究的推动下,近年来在固态量子计算和量子信息方面已取得一系列具有标志性的研究进展。量子点(QD)系统具有可集成和可扩展的优点,与现有的半导体光子技术有紧密的联系,且腔量子电动力学(CQED)可以有效地操纵量子比特,已成为最有可能实现量子信息处理(QIP)器件的方案之一。因此,基于腔-量子点系统实现量子操作的研究对量子计算机的实现有着非常重要的作用。本文讨论了系统有效哈密顿量计算和幺正变换中湮灭算符代换等问题,设计了两种不同的腔-量子点系统,实现了三比特相位门。在相互作用绘景中,引入与自身湮灭算符线性相关的玻色子模,对含时哈密顿量进行幺正变换,在大失谐条件下,利用旋波近似(RWA),得到了系统的有效哈密顿量,进而得到了量子相位门,并将三角型系统拓展到了N腔系统。在两种系统中,通过控制系统初态,在理论上提出了实现三比特量子相位门的方案,并推广到了N量子比特。同时,由于在操作过程中,腔和量子点分别处于真空态和基态,相位门不受由原子自发辐射和腔衰减所引起的退相干效应影响。本文在两种不同的系统中实现了量子相位门,并拓展到了多腔系统,为相位门的实现提供了可行方案,为多腔系统的量子计算和固态量子器件的实现提供了有益的参考。
[Abstract]:With the development of nanomaterials science and experimental technology, and driven by the accumulation of atomic and molecular systems and related theoretical studies, a series of iconic research progress has been made in the field of quantum computing and quantum information in solid state in recent years. Quantum dot (QD) system has the advantages of integration and extensibility, which is closely related to the existing semiconductor photon technology, and cavity quantum electrodynamics (CQED) can effectively manipulate quantum bits. It has become one of the most possible solutions for quantum information processing (QIP) devices. Therefore, the study of quantum operation based on cavity-quantum dot system plays an important role in the realization of quantum computer. In this paper, the effective Hamiltonian calculation of the system and the substitution of annihilation operator in unitary transformation are discussed. Two different cavities quantum dot systems are designed and the three-bit phase gate is realized. In the interaction picture, a boson module which is linearly related to its own annihilation operator is introduced, and the time-dependent Hamiltonian is unitary transformed. Under the condition of large detuning, the effective Hamiltonian of the system is obtained by using the spin wave approximation (RWA),. Then the quantum phase gate is obtained and the triangular system is extended to the N cavity system. In the two systems, by controlling the initial state of the system, a scheme to realize the three-bit quantum phase gate is proposed theoretically, which is extended to the N quantum bit. At the same time, because the cavity and the quantum dot are in the vacuum state and the ground state respectively during the operation, the phase gate is not affected by the decoherence effect caused by the atomic spontaneous emission and cavity attenuation. In this paper, quantum phase gates are implemented in two different systems, and extended to multi-cavity systems, which provides a feasible scheme for the realization of phase gates, and provides a useful reference for the quantum computation of multi-cavity systems and the realization of solid-state quantum devices.
【学位授予单位】：河南科技大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O471.1
本文编号：2248207
[Abstract]:With the development of nanomaterials science and experimental technology, and driven by the accumulation of atomic and molecular systems and related theoretical studies, a series of iconic research progress has been made in the field of quantum computing and quantum information in solid state in recent years. Quantum dot (QD) system has the advantages of integration and extensibility, which is closely related to the existing semiconductor photon technology, and cavity quantum electrodynamics (CQED) can effectively manipulate quantum bits. It has become one of the most possible solutions for quantum information processing (QIP) devices. Therefore, the study of quantum operation based on cavity-quantum dot system plays an important role in the realization of quantum computer. In this paper, the effective Hamiltonian calculation of the system and the substitution of annihilation operator in unitary transformation are discussed. Two different cavities quantum dot systems are designed and the three-bit phase gate is realized. In the interaction picture, a boson module which is linearly related to its own annihilation operator is introduced, and the time-dependent Hamiltonian is unitary transformed. Under the condition of large detuning, the effective Hamiltonian of the system is obtained by using the spin wave approximation (RWA),. Then the quantum phase gate is obtained and the triangular system is extended to the N cavity system. In the two systems, by controlling the initial state of the system, a scheme to realize the three-bit quantum phase gate is proposed theoretically, which is extended to the N quantum bit. At the same time, because the cavity and the quantum dot are in the vacuum state and the ground state respectively during the operation, the phase gate is not affected by the decoherence effect caused by the atomic spontaneous emission and cavity attenuation. In this paper, quantum phase gates are implemented in two different systems, and extended to multi-cavity systems, which provides a feasible scheme for the realization of phase gates, and provides a useful reference for the quantum computation of multi-cavity systems and the realization of solid-state quantum devices.
【学位授予单位】：河南科技大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O471.1
【参考文献】
相关期刊论文 前1条
1 周并举;易有根;周清平;刘小娟;;大失谐腔QED中任意初态双原子系统的量子信息保真度[J];原子与分子物理学报;2007年04期
，本文编号：2248207
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