Quantum Teleportation Based On Geometric Discord

Quantum information science is emerging interdisciplinary to process information coding, communications, computing by using the basic principle of quantum mechanics. The rapid development of quantum information science offers many new thought and method for research and progress in the field of information science. So the research in the field of quantum information science has become a hot spot in recent years. And quantum correlation as a resource for teleportation has been widely discussed.For this interesting teleportation of Heisenberg spin chain model process, we did some theoretical derivation and numerical calculation. We mainly did three aspects of research. First of all, compared with quantum entanglement, we found that the quantum discord has many advantages, quantum discord may be less affected by temperature, and in experimental conditions quantum discord are more likely to be prepared and so on. We choose quantum discord as contact transmission resources to make quantum teleportation through the Heisenberg spin chain model. We still compare the fidelity under different resources.Secondly, in the past study, Heisenberg spin chain model is widely discussed as a simple solid model. Two qubits Heisenberg spin chain model of teleportation have done a lot of in-depth research. Therefore, the new hot spots for quantum discord as resources, we hope to explore the result when we choose quantum discord as resources in three qubits Heisenberg spin chain model of teleportation with three-site interactions. In the end we got the same conclusion that quantum discord also may be chosen as resources in teleportation.Finally, we discuss the quantum remote state preparation of quantum information task which is similar to quantum teleportation. We choose quantum discord as resource to complete remote state preparation. By numerical calculation and theoretical derivation, we got the relation curve between the fidelity of remote state preparation and the quantity of quantum discord and make some analysis.