Quantum Teleportation Under Correlated Noise

The quantum teleportation,as one of the most interesting protocols of quantum information,has attracted a wide range of attention since it was put forward.Which utilizes the quantum entanglement to transmit the quantum state information of the unknown particles to the receiver.The quantum teleportation has the advantages of high reliability,saving communication resources,and high efficiency of information transmission.The key factor in the successful implementation of the quantum teleportation is the use of the quantum channel constructed by the shared entangled state.But the entanglement between the quantum dots is fragile,and under the influence of the surrounding environmental noise,the entanglement is easy to decay or even disappear.Therefore,to protect the shared entanglement,to suppress the negative influence of the surrounding environment on the quantum teleportation,has become an important content of the study of the quantum teleportation.In this paper,the relationship between fidelity and environmental noise is discussed,and how to enhance the efficiency of quantum teleportation is also discussed.The main work of this paper is as follows:(1)The correlation effect plays an important role in quantum information processing.The quantum teleportation under the correlated Pauli channel is studied.It is found that the fidelity of the quantum teleportation is decreasing with the increase of the decoherence intensity;however,the fidelity increases with the increase of the correlation parameter in the same noise intensity as compared to the uncorrelated channel.In other words,the existence of the correlation effect is beneficial to improving the fidelity of the quantum teleportation of the Pauli channel(such as phase damping,bit flipping and depolarizing channel)and improving the efficiency of the information transmission.This part of the study provides a new perspective for improving the fidelity of the quantum teleportation under the noise channel.(2)The correlated Pauli channel is positive,and the correlated amplitude damping channel is non-positive,and the non-coherent positive evolution is a common physical process,which is a typical case in the correlated channel.In this paper,we study the quantum teleportation under the influence of the correlated amplitude damping noise,and put forward a scheme to suppress the noise and improve the transmission efficiency of the quantum teleportation by using the weak measurement and the inversion technique.The results show that the existence of the correlation effect is beneficial to the improvement of the fidelity of the quantum teleportation,and the weak measurement and the turnover strength can be optimized,the influence of the noise can be effectively suppressed and even eliminated,the fidelity of the invisible transmission state in the correlated amplitude damping noise can be improved,and the efficiency of the quantum information transmission is improved.The results of the study extend the application of the weak measurement technique in the quantum information processing under the correlated noise.