基于四粒子cluster态的N位量子态秘密共享方案

为了实现N位量子态秘密共享，提出利用四粒子cluster态作为量子信道，cluster态虽然不是最大的纠缠态，但是有比最大纠缠态更强健的性质，通信者Alice通过添加辅助粒子，并对量子态进行五粒子联合测量，Bob（Charlie）对手中的粒子进行单粒子测量，并把结果和恢复量子态需要进行的操作告知Charlie（Bob），Charlie（Bob）按照从Bob（Charlie）处得到的信息对手中的粒子进行相应的操作，最后再根据需要，把量子态通过相应的量子线路得到所需要共享的量子态。安全性分析证明此方案是安全的。

Scheme of N-qubit secret sharing based on four-particle cluster state

The four-particle cluster state as the quantum channel was proposed to achieve the N-qubit secret sharing, the cluster state is non-maximally entangled state，but it is stronger than the maximally entangled state, the correspondents Alice adds auxiliary particle, measuring the five particles with joint measurement，Bob（Charlie）using the single particle on the received particles，and send the results and corresponding operation of recovering quantum state to the Charlie（Bob），according to the information from Bob（Charlie），some corresponding operation on the particles was made by Charlie（Bob）,making the quantum states with the quantum circuit according to the need of sharing states. The security of the scheme is demonstrated.