提出了用2个3粒子GHZ态作为量子信道远程制备实系数和复系数4粒子团簇态的2种方案.对于实系数的4粒子团簇态,提出了一个确定性的远程制备方案.在这一方案中,先让发送者Alice与接受者Bob共享2个3粒子GHZ态,然后Alice对自己手中的粒子在适当的基下进行2粒子联合测量,并将测量结果通知Bob,Bob通过进行适当的幺正变换就能获得需要制备的4粒子团簇态,这个制备方案成功的概率是100%.对于更一般的复系数4粒子团簇态的远程制备,提出了一个成功概率为25%的一般方案,并讨论了在某些特殊条件下,制备成功的概率可以达到50%甚至100%.此外,还讨论了不同方案的经典资源成本.
Two schemes of remote preparation of a real or complex coefficients four-particle cluster-type state using two three-particle GHZ state as the quantum channel are proposed. For the entangled four-particle cluster-type state with real coefficients,a deterministic remote preparation scheme is put forward. In this scheme,two three-particle GHZ state are used as the quantum channel. Then a two-particle projective measurement should be performed by Alice,after Alice tell her measurement result to Bob,Bob can prepare the target state by performing an appropriate unitary operation with probability 1. For the more general four-particle cluster-type state with complex coefficients,another scheme is proposed,witch can successfully prepare the target state with probability 25%. And the probability of success can reach up to 50% or even 1 in some special cases. The classical communication costs in different case are discussed too.