Schemes for Remotely Preparing a Six-Particle Entangled Cluster-Type State

By constructing some useful measurement bases, we put forward two novel schemes via different entanglement resources to realize remote preparation of a six-particle entangled cluster-type state with high probabilities. It is shown that through a three-particle projective measurement and two-step two-particle projective measurement under the novel sets of mutually orthogonal basis vectors, the original state can be prepared with the probability 50 % and 100 %, respectively. And for the first scheme, the special cases of the prepared state that the success probability reaches up to 100 % are discussed by the permutation group. Compared with the previous proposal, the success probabilities of the proposed schemes are greatly improved. Furthermore, the present schemes are extended to the non-maximally entangled quantum channel, and the classical communication costs are calculated.