Teleportation of single and bipartite states via a two qubits xxz Heizenberg spin chain in a non-Markovian environment

Abstract

Quantum teleportation of single particle states and bipartite spin states via a channel composed of a two-qubits xxz Heisenberg spin chain under the effects of Dzyaloshinski-Moriya interaction, which interacts with a non-Markovian environment as a noisy quantum channel is investigated. The quantum channel and the initial state of the system are shown to be the fundamental elements that fully characterize entanglement and the teleportation average fidelity. For too low entanglement of the channel the output entanglement becomes zero (there is teleportation failure). For an initial entangled state, the Non-Markovian environment causes revivals in the average fidelity after it falls below the critical value of 23. The Dzyaloshinski-Moriya interactions are observed to enhance the revivals in the average fidelity; this is an interesting result because alongside the Non-Markovian bath, the effect of the Dzyaloshinski-Moriya interaction, can be used to improve the efficiency of the quantum channel for teleporting quantum states.