【作者】 王健；

【导师】 徐学翔；

【作者基本信息】 江西师范大学 ， 物理学， 2025， 硕士

【摘要】 量子非局域性在量子信息处理中的潜在应用广泛,涵盖了从量子密码学和量子隐形传态到基于测量的量子计算等多个领域。随着科技的进步,研究的焦点逐渐从传统的两比特量子态扩展到更复杂的多比特和高维量子系统,相比之下多比特和高维量子系统可承担更多的任务,适用于更为广泛的应用场景。首先,提出了一种制备三比特量子纯态的方案,即使用具有可变参数T的三束器,并通过真空-单光子叠加态|0>+α|1>来诱导,其中α=|α|eiφ,所制备的三比特量子纯态的基本形式为|Ψ>123=c0|000>+c1|100>+c2|010>+c3|001>,在形式上具备|W>和| GHZ>型三比特量子态的特征,并受可调节参数(|α|,T,φ)调控,通过在文章中针对所制备态矢量严格的论证,可得出结论|Ψ>123具有良好的真正三体纠缠与多体导引属性。其次,采用 Xie 和 Eberly 在文章[Phys.Rev.Lett.127,040403(2021)]中所提出的并发填充函数作为真正三体纠缠判据,以三种二分态型并发函数作为边长,搭建并发填充三角形,并以该三角形的面积大小作为评判真正三体纠缠强度的主要依据。在该判据背景下我们所制备的三比特量子态整体呈现出优秀的真正三体纠缠属性,适当调节参数纠缠强度可达7.8以上,其纠缠强度要高于|W>型三比特量子态。在本文中针对于并发填充函数的纠缠单调性以态矢量|Ψ>123为基础展开论述,可得出结论并发填充函数是满足纠缠单调性的。最后在分析多体导引阶段,参考Ze-Yan Hao文章[Phys.Rev.Lett.128,120402(2022)]与 Yi-Zheng Zhen文章[Phys.Rev.A 93,012108(2016)]共同提到的基于不确定性关系准则的多次测量性多体导引判据,并重点关注Hao在文章中提出的多体导引共享性原则。经过冗长的计算,我们确定了九种可能的配置,它们在不同的参数空间中表现出不同的可操纵性,并且其中包含多体导引单配性与共享性原则。总之,制备了一个独特的三比特量子纯态,且研究了它们的真正三体纠缠与多体导引属性及其受物理参数调控的情况。这些问题的研究,为量子技术提供了可利用的资源,也可为实验设计提供理论参考。更多还原

【Abstract】 The potential applications of quantum nonlocality in quantum information processing are wide-ranging,ranging from quantum cryptography and quantum teleportation to measurement-based quantum computing.With the advancement of science and technology,the focus of research has gradually expanded from the traditional two-bit quantum state to more complex multi-bit and high-dimensional quantum systems,which can undertake more tasks and are suitable for a wider range of application scenarios.First,we propose a scheme for preparing a three-qubit pure quantum state using a tritter with a variable parameter T,induced by a vacuum-single-photon superposition.The prepared three-qubit quantum pure state has the general form of a quantum state with characteristics of both | W)and | GHZ)-type three-qubit states,and is controlled by the adjustable parameter(|α|,T,φ).Through a rigorous argument for the prepared state vector in the paper,we conclude that the state exhibits excellent true three-body entanglement and multi-body guiding properties.Second,we adopt the concurrent filling function proposed by Xie and Eberly in their paper[Phys.Rev.Lett.127,040403(2021)]as a true three-body entanglement criterion.We use three types of bipartite entanglement functions as the side lengths to build a concurrent filling triangle,and the area of this triangle serves as the main measure for the strength of true three-body entanglement.In this context,the three-qubit quantum state we prepared shows excellent true three-body entanglement properties,with the entanglement strength reaching above 7.8,which is higher than that of the |W>-type three-qubit quantum states.In this chapter,we also discuss the entanglement monotonicity of the concurrent filling function based on the state vector.The conclusion is that the concurrent filling function satisfies entanglement monotonicity.Finally,in the analysis of multi-body steering,we refer to the multi-body steering criterion based on uncertainty relations,as proposed by Ze-Yan Hao and Yi-Zheng Zhen in their respective articles[Phys.Rev.Lett.128,120402(2022)]and[Phys.Rev.A 93,012108(2016)],and focus on the multi-body steering shareability principle introduced by Hao in his paper.Through extensive calculations,we identify nine possible configurations,which exhibit different manipulability in different parameter spaces and include both multi-body steering single compatibility and shareability principles.In conclusion,we have prepared a unique three-qubit pure quantum state and studied its true three-body entanglement and multi-body steering properties,along with the variation patterns influenced by physical parameters.The research on these issues provides useful resources for quantum technologies and theoretical references for experimental design.更多还原