Design And Application Of Machine Learning Algorithms Based On Quantum Computing

With the development of science and technology,quantum information technology has gradually expanded from theoretical research to the simulation of quantum computers,as well as the observation and control of superconducting system,trapped ion system,optical system and other microscopic systems,so as to realize the control,transmission and observation of superposition state,entanglement state and other physical characteristics in quantum computing in concrete experiments.Research results in recent years show that the development of quantum information technology and the application of key technologies show an accelerating trend.Represented by quantum communication,quantum computing and quantum metrology,quantum information will have a significant impact on the future planning of national financial security,military industry,electronic communication and other fields.The following is the main content of this paper:1.Based on the learning characteristics of neural networks and the characteristics of parallel processing of data that could be achieved by quantum computing,here the classical neural network was used,and the quantum circuits constituted the generated adversarial networks of the quantum states.The generated adversarial networks constructed by the quantum circuit could generate quantum states with the same distribution as the real data samples in a short time,and the cost functions of the generator and the discriminator could smoothly converge to the optimal value.2.The 2-qubit quantum teleportation algorithm was derived based on discrete variables,and the 2-mode quantum teleportation algorithm was derived based on continuous variables.And then we used IBM Q discrete variable model of quantum computing platforms and Strawberry Fields model of continuous variable quantum computing platform to contact transmission simulation experiments,and compared the two algorithms under the mechanism of quantum computer simulation of the implementation of the process.3.In order to realize the search problem under arbitrary distribution,this paper proposed the quantum fixed-point search algorithm based on continuous variables,in which the initial states and target states of continuous variables with arbitrary distribution and specific projection operators are constructed,so as to realize the asymptotic optimal fixed-point quantum search with selective phase-shift operators.The algorithm not only satisfied the accuracy requirement of convergence to the target solution,but also achieved the quadratic asymptotic optimal solution.Finally,the algorithm was simulated by Matlab and its effectiveness is verified.4.Based on the quantum states characterized by the thermal atom system,this paper completed the theoretical derivation of the dependence of the electromagnetically induced transparency effect and angle in the thermal atom system.Among them,the Doppler effect,particle motion and the angle vector of the light field wave vector were mainly considered in the absorption spectrum of the system.In addition,by completing optical experiments to improve the isolation ratio of interference filters,the influence of factors such as the angle of incident light,polarization,and the number of cascades of interference filters on the optical system was verified.