Teleportation of the werner state via graphene-nanoribbon-based quantum channels under the amplitude-damping environment

Abstract

We study the teleportation of Werner state using electronic spin states at the ends of a narrow armchair graphene nanoribbon as the quantum channels in the amplitude-damping environment. The influences of amplitude damping, temprature T and Coulomb repulsion U on the dynamics of channel state, output state, and the corresponding fidelity between output and input states are discussed in detail. To faithfully characterize the quality of the teleported state, we also calculate the average fidelity of teleportation. The results show that when T or U increases to a certain value, the channel entanglement will suddenly disappear in evolution, thus leading to the decay behaviors of output entanglement and corresponding fidelity. However, if T < 40 K and U < 6eV, the average fidelity of teleportation under the amplitude-damping channel is over 80% at worst. Therefore, such narrow armchair graphene nanoribbon is identified as a very promising solid-state system for quantum teleportation. • Quantum teleportation of Werner state using electronic spin states at the ends of a narrow armchair graphene nanoribbon as the quantum channels in the amplitude-damping environment. • The entanglement dynamics of the amplitude-damping channel strongly depends on the temperature T and Coulomb repulsion U. • The average fidelity of teleportation under the amplitude-damping channel is over 80% at worst in the range of 0 K < T < 40 K and 2eV < U < 6eV considered here. • The fidelity for output state under the amplitude-damping channel is not a monotonic function of the decay probability p, which is different from the monotonically decreasing behavior of the output entanglement.