利用一个两粒子纠缠态实现N粒子GHZ纠缠态的隐形传态

Teleportation of N-particle entangled GHZ sate via two-particle entangled quantum channel

提出利用一个两粒子纠缠态传送N粒子GHZ纠缠态的方案,首先考察三粒子GHZ纠缠态在量子信道是最大纠缠态时的情形,进一步考察量子信道是非最大纠缠态的情形。发现通过对某些粒子执行H操作和von Neumann测量,并引进两个辅助比特,在非最大纠缠态时还需构造一个幺正变换矩阵,可实现三粒子GHZ纠缠态的隐形传态,最后推广至N粒子,该方案相比其它方案最大的优点是节约了量子信道纠缠资源。

A scheme of teleportation of a N-particle entangled GHZ state through a two-paticle entangled quantum channel was proposed. Firstly, the maximally entangled states were taken as quantum channels, then the case of nonmaximally entangled channels was considered. It was found that by implementing H transformation and von Neumann measurement, introducing an ancilly qubit, when the channels are nonmaxially entangled states constructing an unitary transformation properly teleportation of three-paticle entangled GHZ state cound be implemented with certain probability. Finally, the N-particle entangled GHZ state was discussed. Compared with other schemes this scheme saves the quantum entanglement channel resources