基于d维六粒子Cluster态的任意qudit态远程联合制备

Joint multi-party remote preparation of arbitrary qudit states via a d-level six-qudit Cluster state

提出利用d维六粒子Cluster态的任意高维量子态确定远程联合制备方案.首先考虑了基于d维六粒子Cluster态的任意双粒子qudit态远程联合制备方案,然后提出了基于六粒子Cluster态的任意单粒子qudit态双向远程联合制备方案.在方案中,两个发送方共享需制备量子态信息,第一发送方依据已知需制备量子态信息对纠缠粒子执行半正定算子测量(POVM),第二发送方依据第一发送方测量结果以及已知需制备量子态信息对纠缠粒子选择执行适当的正交投影测量,接收方依据所有发送方测量结果对纠缠粒子执行相应的局域幺正操作,就可以在他的粒子上重建需制备量子态.通信方使用高维Cluster态为量子纠缠信道完成高维量子态远程联合制备,与其他方案相比,具有信道容量高的优点.

We propose two protocols for joint,multi-party remote preparation of qudit states by using a d-level six-qudit Cluster state as the quantum channel.The first protocol is used for the joint remote preparation of an arbitrary two-qudit state via the d-level six-qudit Cluster state.The second is used for bi-directional joint remote preparation of an arbitrary singlequdit state via a d-level six-qudit Cluster state.All senders share information about the prepared state.The first sender applies Positive Operator-Valued Measurement(POVM)on her entangled particles in accordance with her information about the prepared state,while the second sender performs projective measurements in accordance with the information about the prepared state and the first sender’s measurement results.The receiver can prepare the original state by performing a corresponding unitary operation according to the measurement results from all the senders.These two protocols have the advantage of being able to provide a high channel capacity by using a d-level Cluster state as the quantum channel.