Remote preparation of a four-particle entangled cluster-type state

Our concern is to remotely prepare a four-particle entangled cluster-type state with high success probabilities. By constructing some useful measurement bases, two novel schemes via different entanglement resources as the quantum channel are designed: one is via an EPR pair and two three-particle GHZ states; the other is via two four-qubit GHZ states. It is shown that through four-particle projective measurements under the novel sets of mutually orthogonal basis vectors, the original state can be successfully prepared with the probabilities 12 and 1, respectively. These schemes are extended to the non-maximally entangled quantum channel. Compared with the previous remote preparation proposal, the success probabilities of the proposed schemes are greatly improved. Furthermore, the classical communication costs of these schemes are calculated to determine the classical resources required.