Asymmetric two-way Controlled Quantum Teleportation in Quantum Network

Quantum teleportation with optimum quantum resources and hardware in a quantum network poses a pressing and demanding need. Here, we offer a protocol for asymmetric two-way controlled quantum teleportation via employing a sixteen-qubit entangled state as a resource in a quantum network consisting of five communicating participants Alice, Bob<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup>, Bob<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup>, Bob<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</sup> and Eve. Our protocol is designed so that a sending party (Alice) transmit its three single information-qubits to three different parties Bob<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup>, Bob<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> & Bob<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</sup>, respectively and at the mean time, these three parties (Bob<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1</sup>, Bob<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">2</sup> & Bob<sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</sup>) send their Bell-like information-qubits back to the sender (Alice) under the supervision of administrator (Eve) by invoking projective Bell State measurements, GHZ-state measurements and X-basis measurements and local unitary operations. Furthermore, we have analyzed intrinsic efficiency of the protocol and compare our scheme with other competitive protocols.