N-to-M JOINT REMOTE STATE PREPARATION OF 2-LEVEL STATES

In this paper, we investigate novel protocols for the joint remote state preparation involving several senders and receivers. The highlight of our paper lies in two aspects. First, we focus on the distribution of information among multiple senders and receivers. Second, each receiver can simultaneously reconstruct a qubit state containing the joint information from all senders. These properties imply that our protocols may have many extensive applications in burgeoning quantum network communication. Our protocols cover a variety of class, i.e. two-to-three, N-to-three, and N-to-M. Through introducing the quantum fourier transform, the set of orthogonal basis in the M-dimensional Hilbert space is ingeniously constructed. Moreover, we present all the recovery operations in details. The success probability and the classical communication costs are also given.