Bidirectional controlled joint remote state preparation

Fusing the ideas of bidirectional controlled teleportation and joint remote state preparation, we put forward a protocol for implementing five-party bidirectional controlled joint remote state preparation (BCJRSP) by using an eight-qubit cluster state as quantum channel. It can be shown that two distant senders can simultaneously and deterministically exchange their states with the other senders under the control of the supervisor. In order to extend BCJRSP, we generalize this protocol from five participants to multi participants utilizing two multi-qubit GHZ-type states as channel and propose two generalized BCJRSP schemes. On the other hand, we generalize the BCJRSP to multidirectional controlled joint remote state preparation by utilizing multi GHZ-type states of multi-qubit as quantum channel. By integrating bidirectional quantum teleportation, quantum state sharing and joint remote state preparation, some modified versions are discussed. Only Pauli operations and single-qubit measurements are used in our schemes, so the scheme with five-party is easily realized in physical experiment.