摘要
融合联合远程制备与受控远程制备的思想,讨论任意d-维量子态联合受控远程制备问题.首先,提出了n+m+1方受控联合制备任意d-维单粒子态协议,该协议以一个n+m+1粒子纯纠缠态为信道,n个发送者预先分享被制备态的信息.第一个发送者利用原始态的信息对其粒子进行正定算子值测量(POVM),其余发送者对各自粒子采用投影测量.若控制者们许可接受者获取原始量子秘密,则需对各自粒子进行投影测量,接受者利用相应的酉变换就能以一定的概率重构原始量子态.其次,将上述方案推广到d-维任意q-粒子态的制备情形,获得了多方受控联合高维多粒子态制备的一般方案.
Fusing with the idea of joint remote preparation and controlled remote preparation,the problems of controlled joint remote preparation of arbitrary d-dimensional quantum states are discussed.Firstly,an+m +1-party controlled joint preparation protocol for arbitrary d-dimensional single-particle state is proposed.The protocol uses a pure entangled state of n+m+1-particles as the channel,and nsenders share the information of the prepared state in advance.The first sender performs POVM on her particle according to her knowledge of the original state,the remaining senders use projection measurement for their respective particles.The controllers allow the recipients to obtain the original quantum secret and measure the projection of their respective particles.The recipients can reconstruct the original quantum state with a certain probability by using the corresponding unitary transformation.Secondly,the above scheme is extended to the preparation of d-dimensional arbitrary q-particle states,and a general scheme of multi-party controlled joint remote preparation of high-dimensional and multiparticle states is thus obtained.
引文
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