Quantum Teleportation Under the Effect of Dissipative Environment and Hamiltonian XY Model

By supposing that the quantum channel is affected by the Hamiltonian XY model, quantum teleportation is studied in the absence and presence of a dissipative environment. We find that the dynamics of the average of fidelity and entanglement of the channel depend on which qubits interact with the environment and magnitude of parameters of the Hamiltonian. In the case that the qubits of quantum channel interact with environment, a critical value of entanglement is needed to keep quantum advantage at infinite time. We also find that, the most destructive case is that the qubit to be teleported is subject to an environment. It is shown that quantum advantage may be lost even in the absence of an environment.