Quantum Entanglement and Teleportation Fidelity in Half-filled Hubbard Model of Graphene Honeycomb Lattices

We present a scheme for the thermal entanglement and teleportation fidelity of two electrons in the half-filled Hubbard model of the graphene honeycomb lattices. The analytical thermal entanglement, the teleportation fidelity and the average teleportation fidelity expressions are obtained. The effects of the temperature, the on-site repulsion and the nearest-neighbor interaction on the Concurrence, the teleportation fidelity and the average teleportation fidelity are discussed in detail. The findings suggest that weaker or stronger values of the on-site repulsion, the nearest-neighbor interaction will diminish quantum correlations and teleportation fidelity in the system. Furthermore, the average fidelity \({\mathcal {F}}_A \) of teleportation using thermal entangled state is confined in the inequality \(1 / 4 \le {\mathcal {F}}_A \le 1 / 3\). These investigation have significant implications for quantum physics and its practical applications in quantum information processing.