Quantum teleportation and thermal entanglement of two-scattering qubit state in graphene lattices

Abstract

This paper presents an analytical investigation of the teleportation and the thermal entanglement of two identical qubits in the ground state of graphene lattices. The elastic interaction between the two qubits is considered as a scattering process. The modified Hamiltonian and density matrix of the system were presented. The teleportation and the entanglement of two-qubit system are analyzed through the study of the average fidelity of teleportation [Formula: see text], the concurrence [Formula: see text] and the entanglement of formation [Formula: see text]. The results depend on the temperature [Formula: see text] and also on the parameters of the system as the [Formula: see text] parameter of the interaction potential and [Formula: see text] band parameter. The study shows that the teleportation and the entanglement decrease when the temperature [Formula: see text] increases but they become all the more important as the parameters [Formula: see text] and [Formula: see text] increase.

Nonclassical correlations in two-dimensional graphene lattices

“…Significant attention has also been given to the study of possible applications in graphene-based entanglement [50], quantum memory [51,52] and quantum teleportation [53]. Recently, many research works have studied the dynamics of entanglement in a graphene layer system [50,[54][55][56][57][58][59][60][61][62].…”

Prospecting Quantum Correlations and Examining Teleportation Fidelity in a Pair of Coupled Double Quantum Dots System

“…[23] Moreover, quantum teleportation is studied using several channels, such as thermal entangled states, the cavity of quantum electrodynamics, the relativistic accelerated frame, and scattering qubit state in graphene lattices. [24][25][26][27][28][29][30][31] Through various Heisenberg spin chain models, and in the presence of Dzyaloshinskii-Moriya interactions, dipole-dipole interaction, and spin squeezing mechanisms, entanglement teleportation and fidelity are investigated. [32][33][34][35][36][37][38][39][40][41] On the other hand, the Bell theorem has been a step forward in quantum physics that demonstrates the limitations of the natural assumption of locality.…”

“…[ 23 ] Moreover, quantum teleportation is studied using several channels, such as thermal entangled states, the cavity of quantum electrodynamics, the relativistic accelerated frame, and scattering qubit state in graphene lattices. [ 24–31 ] Through various Heisenberg spin chain models, and in the presence of Dzyaloshinskii–Moriya interactions, dipole–dipole interaction, and spin squeezing mechanisms, entanglement teleportation and fidelity are investigated. [ 32–41 ]…”