Scalable Secure Teleportation in Quantum Communication Networks Using n-partite GHZ States

We present a protocol for faithful teleportation of an arbitrary single qubit state in a quantum network with n-parties utilizing the maximally entangled n-partite GHZ state. In our approach, starting with three parties, Alice, the sender must perform a Bell state measurement on her qubits, then the intermediate parties perform Hadamard operation along with single qubit state measurements. Finally the receiver reconstructs the teleported state by doing appropriate unitary operations. We systematically increase the number of parties involved in the process and show that the teleportation can be achieved successfully with each additional participant. By generalizing the results to n-qubit GHZ state, one can achieve serial teleportation involving the sender Alice, the receiver and (n-2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varvec{(n-2)}$$\end{document} intermediate parties. We have further employed decoy qubits into our scheme to enhance the security against any potential external threats. In addition, the intrinsic efficiency of teleportation is also calculated and compared with other standard protocols.