Motivated by multi-particle entanglement, we propose a multi-party quantum parallel teleportation scheme in quantum wireless multi-hop networks (QWMNs) investigated with four-vertex graph-based entanglement. We show an ar- bitrary single-qubit quantum teleportation with graph state between directly connected two-party and an arbitrary two- qubit quantum teleportation based on four-vertex graph state followed by the multi-parity quantum teleportation based on four-vertex graph state where source node do not need share any entangled pairs with destination node but via intermediate nodes’ quantum swapping to finish the teleportation. Source node and intermediate nodes conduct von Neumann measurement and transmit their classical outcomes to the destination node independently in a parallel manner. Then destination node applies appropriate unitary operation to recover the source quantum state according to the received outcomes. This graph- based scheme extends the entanglement pattern in quantum teleportation, provides a perfect multi-party teleportation model. The proposed scheme improves the constructing flexibility of the network and reduces the communication delay, which has a wide application in quantum route selection.
We propose a controlled quantum teleportation protocol for securely transferring an unknown
n-qubit state from a sender to a receiver, under the supervision of
m controller participants. The protocol uses
n copies of an
m-qubit Greenberger-Horne-Zeilinger state as the quantum resource. Message qubits can be distributed among participants to enhance security against targeted external attacks. Each intermediate party may hold at most one resource qubit, reducing the total number of resource qubits required. The sender selects the end receiver during protocol execution, ensuring anonymity and minimizing the risk of interception by an external eavesdropper. We assess the protocol's performance by calculating teleportation fidelities for various
m and
n values and visualize the quantum states through Hinton diagrams. The results confirm the protocol's effectiveness for secure quantum communication in multi-party settings.