Probabilistic Joint Remote Preparation of Four-Particle Cluster-Type States with Quaternate Partially Entangled Channels

We put forward a new and feasible scheme to realize joint remote preparation of four-particle cluster-type states based on two quaternate partially entangled states as quantum channels. During the preparation, each of the states’ senders is just required to perform a bipartite projective measurement in a 2×2-dimensional Hilbert space, and the receiver needs to implement some appropriate unitary operations including a local triplet collective transformation. It is proved that our scheme can be accomplished in a probabilistic manner, and the success probability of preparation (SPP) is dependent on the entangled states set up in prior. Moreover, it is explored that SPP can be greatly enhanced to be quadruple of that in general case, when the prepared states belong to some special ensembles. And the scheme feasibility is evaluated finally.