基于部分纠缠信道的高维赤道态概率可控远程联合制备  

Multiparty probabilistic controlled joint remote preparation of an arbitrary m-qudit equatorial state with a pure entangled quantum channel

作　　者：黎勇宏 何良明[1] 周萍[1] LI YongHong;HE LiangMing;ZHOU Ping(Key Lab of Quantum Information and Quantum Optics,Guangxi University for Nationalities,Nanning 530006,China)

机构地区：[1]广西民族大学量子信息与量子光学重点实验室,南宁530006

出　　处：《中国科学：物理学、力学、天文学》2021年第5期102-111,共10页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(编号:61501129,11564004);广西自然科学基金(编号:2018JJA110112)资助项目。

摘　　要：作为一种特殊类型的量子态,赤道态由于在量子信息处理中的独特应用引起了广泛关注.基于不同多粒子纠缠态信道,研究者提出了任意双量子比特、三量子比特以及多量子比特赤道态多方联合制备方案.本文研究了基于高维部分纠缠态的高维多粒子赤道态多方概率可控远程联合制备方案,提出了两个基于高维部分纠缠态的高维多粒子赤道态多方可控远程联合制备方案.一个方案以m个高维类GHZ态为纠缠信道,可实现多个控制方控制下的高维赤道态多方远程联合制备,另一个方案以一个多粒子部分纠缠态为量子纠缠信道完成单个控制方控制下的高维赤道态远程联合制备.多个发送方共享多粒子赤道态信息,依据已知信息对手中纠缠粒子选择执行相应正交投影测量,控制方对他的纠缠粒子执行单粒子测量.接收方与所有发送方和控制方合作,仅需引入一个附加量子比特就可在他的纠缠粒子上重建需制备量子态.方案不需要使用最大纠缠态作为量子纠缠信道实现高维赤道态远程可控联合制备,具有可行性强的优点.The quantum equatorial state,a special kind of quantum state,has attracted much attention because of its potential for applications in quantum information processing.The remote preparations of arbitrary two-qudit,three-qudit equatorial and m-qudit equatorial states have been studied via different entangle quantum channels.In this paper,we propose two protocols for the controlled joint remote preparation of an arbitrary m-qudit equatorial state with a pure entangled quantum channel.The first is for the controlled joint remote preparation of the m-qudit equatorial state by using m multiparticle GHZ-class states as the quantum channel,and the second is for the controlled joint remote preparation of the m-qudit equatorial state via a multiparticle entangled state.All senders share information about the prepared state and perform m-particle projective measurements on their entangled particles according to their information about the prepared state.All controllers perform generalized X-basis measurements on their entangled particles.If a receiver cooperates with all the senders and controllers,he can prepare the original state probabilistically by performing unitary operations on his entangled particles and an auxiliary qubit.This protocol is more convenient for applications because it only requires nonmaximal entanglement for the controlled joint remote preparation of an arbitrary m-qudit equatorial state.

关 键 词：量子态可控远程联合制备 高维多粒子赤道态 类GHZ态 附加粒子 

分 类 号：O413[理学—理论物理]