Quantum Teleportation Using Symmetric States as Quantum Channel

Abstract

The subsets of Dicke states are highly entangled symmetric states known as the dihedral \(D_{8}\)- symmetric states having the robust entanglement properties. In this work, we propose a quantum teleportation protocol for teleporting an arbitrary two-qubit state, a Bell-state and a Bell-like state using \(D_{8}\)-symmetric entangled states as channel. The quantum circuits for the proposed teleportation protocol have been implemented on the IBM quasm-simulator and the results obtained confirm the successful execution of the protocol. In addition, the quantum circuit for an arbitrary two-qubit state has also been run on the real 127-qubit IBM Eagle quantum processor. Furthermore, by performing the quantum state tomography, the arbitrary two-qubit teleported state has been reconstructed at the Bob’s end with a 0.65 fidelity. The effects of three different noise types—amplitude damping, phase-flip, and bit-flip—on the proposed teleportation protocol have also been investigated. Additionally, a security study of the protocol against both internal and external attacks has been conducted.