Research On Enhancing The Teleportation Of Quantum Fisher Information Under Correlated Noise

Quantum teleportation has strong stability,saves communication resources,efficient information transmission capabilities,and theoretical absolute security.The key to the above advantages is that it uses shared entanglement as the channel of information transmission.However,under the interference of external noise,quantum entanglement will decay rapidly or even disappear completely,thus losing the quantum advantage.On the other hand,quantum Fisher information has extremely important significance in quantum metrics because it characterizes the accuracy of parameter estimation.This paper studies the teleportation of quantum Fisher information under correlated noise,and introduces weak measurement and environment assisted measurement,which effectively improves the quantum Fisher information teleportation.The main research content of this paper are as follows:(1)In practice,when qubits are frequently transmitted through the same channel,the previous bit will have an impact on the next bit,namely,correlation effect.The teleportation of quantum Fisher information under correlated amplitude damping noise is studied.The results show that correlated effect can improve the teleportation of quantum Fisher information to some extent.But not enough to effectively suppress noise.Therefore,schemes of using weak measurement and environment assisted measurement technology to suppress the influence of noise are proposed.It is found that lossless transmission of the teleportation of quantum Fisher information can be achieved only in the case of uncorrelated amplitude damping noise and fully correlated amplitude damping noise.However,due to the non unitary operation of weak measurement,environment assisted measurement,and quantum measurement reversal control techniques,the improvement of the teleportation of quantum Fisher information under correlated amplitude damping noise by the two schemes are based on probabilistic properties.In addition,a detailed comparison found that the environment assisted measurement scheme has obvious advantages in improving the teleportation of quantum Fisher information and success probability.(2)The correlated amplitude damping noise is ideal for zero-temperature environments,while real-world environments are often of finite temperature.Therefore,the research is extended to the case of finite temperature,and the teleportation of quantum Fisher information under the correlated generalized amplitude damping noise is studied.The results show that the correlated effects can improve teleportation of quantum Fisher information to a certain extent,while the increase in ambient temperature exacerbates the decoherence of noise.In order to suppress the correlated generalized amplitude damping noise,two schemes are proposed to improve the teleportation of quantum Fisher information,both schemes can improve the teleportation of quantum Fisher information to some extent at the cost of sacrificing the success probability.Although the research in this paper fails to achieve lossless teleportation of quantum Fisher information under correlated generalized amplitude damping noise,it also provides an idea for other quantum information tasks of suppressing correlated generalized amplitude damping noise.