量子隐形传态与远程制备协议设计

发布时间：2018-03-10 18:42

本文选题：量子隐形传态　切入点：远程量子态制备　出处：《四川师范大学》2017年硕士论文　论文类型：学位论文

【摘要】：随着电子商务,移动支付等新兴业的快速发展,网络信息安全问题备受瞩目.在理论上,量子通信具有无条件的安全性和高效性,因而在信息安全领域有着重大的应用价值和前景,将逐渐走进人们的日常生活.本文主要围绕量子通信在量子隐形传态和量子态制备方面的相关协议进行了研究.以线性代数为工具,利用不同的量子资源和量子测量方法设计了三个量子通信协议.主要研究内容如下:1.量子隐形传态协议.利用非最大纠缠态,设计了两种三方参与的任意Bell型纠缠态的双向受控概率隐形传态方案.在第三方的监督下,通信双方可以利用投影测量,POVM测量,控制非门和酉矩阵变换,同时传送量子态给对方.如果没有控制方的允许,协议失败.当且仅当传输量子信道达到最大纠缠时,隐形传态的概率达到100%.2.量子态制备协议.以一个七粒子纠缠态作为量子信道,设计了一种量子双向受控联合远程制备方案.发送者Alice和Charlie想在Bob方远程制备一个量子态;与此同时Bob和David希望在Alice方远程制备一个单粒子态.制备过程中需要Fred的监督与协作.当且仅当所有参与者合作的情况下,才能以概率100%完成量子态的制备.该方案中只需要用到局部操作和经典通信,所以五方参与的方案在物理上是有可实现性的.3.星型网络下量子态制备.因为最大纠缠态会受外界因素影响而退化为部分纠缠态,所以提出了一种概率量子态制备方案.网络中任何两个用户节点没有彼此共享纠缠态,但可以通过纠缠交换技术建立纠缠,从而构建量子信道.通过Bell基测量,添加辅助粒子,实施特殊的酉矩阵,单粒子测量等一系列操作,以一定的概率成功实现任意单粒子态的单向和双向制备任务.
[Abstract]:With the rapid development of electronic commerce, mobile payment and other new industries, network information security has attracted much attention. In theory, quantum communication has unconditional security and high efficiency. Therefore, it has great application value and prospect in the field of information security. This paper focuses on the protocols of quantum teleportation and quantum state preparation. Three quantum communication protocols are designed using different quantum resources and quantum measurement methods. The main research contents are as follows: 1. Quantum teleportation protocol. In this paper, two kinds of bi-directional controlled probabilistic teleportation schemes for arbitrary Bell entangled states are designed. Under the supervision of a third party, both parties can use projection measurement to control the non-gate and unitary matrix transformation. The protocol fails if and only if the transmission quantum channel reaches its maximum entanglement. The probability of teleportation reaches 100.2. Quantum state preparation protocol. A quantum bidirectional controlled joint remote preparation scheme is designed using a seven-particle entangled state as a quantum channel. The sender Alice and Charlie want to remotely prepare a quantum state on the Bob side. At the same time, Bob and David want to remotely prepare a single particle state on the Alice side. The preparation process requires the supervision and collaboration of Fred, if and only if all the participants cooperate. The quantum states can be prepared with probability 100%. In this scheme, only local operation and classical communication are needed. So the five-party scheme is physically realizable. 3. The quantum state is prepared under the star network. Because the maximum entangled state will be affected by external factors, it will degenerate into partially entangled state. Therefore, a probabilistic quantum state preparation scheme is proposed. Any two user nodes in the network do not share entangled states with each other, but they can establish entanglement through entanglement exchange technology, and then construct quantum channels. A series of operations such as special unitary matrix, single particle measurement and so on are carried out, and the task of preparing arbitrary single particle states in one direction and two directions is successfully realized with certain probability.
【学位授予单位】：四川师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O413;TN918

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