中国物理B(英文版)2024,Vol.33Issue(2) :213-219.DOI:10.1088/1674-1056/ad09cd

Gray code based gradient-free optimization algorithm for parameterized quantum circuit

张安琪 武春辉 赵生妹
中国物理B(英文版)2024,Vol.33Issue(2) :213-219.DOI:10.1088/1674-1056/ad09cd

Gray code based gradient-free optimization algorithm for parameterized quantum circuit

张安琪 1武春辉 1赵生妹2
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作者信息

  • 1. Institute of Signal Processing and Transmission,Nanjing University of Posts and Telecommunications,Nanjing 210003,China
  • 2. Institute of Signal Processing and Transmission,Nanjing University of Posts and Telecommunications,Nanjing 210003,China;Key Laboratory of Broadband Wireless Communication and Sensor Network Technology(Ministry of Education),Nanjing University of Posts and Telecommunications,Nanjing 210003,China
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Abstract

A Gray code based gradient-free optimization(GCO)algorithm is proposed to update the parameters of parameterized quantum circuits(PQCs)in this work.Each parameter of PQCs is encoded as a binary string,named as a gene,and a genetic-based method is adopted to select the offsprings.The individuals in the offspring are decoded in Gray code way to keep Hamming distance,and then are evaluated to obtain the best one with the lowest cost value in each iteration.The algorithm is performed iteratively for all parameters one by one until the cost value satisfies the stop condition or the number of iterations is reached.The GCO algorithm is demonstrated for classification tasks in Iris and MNIST datasets,and their performance are compared by those with the Bayesian optimization algorithm and binary code based optimization algorithm.The simulation results show that the GCO algorithm can reach high accuracies steadily for quantum classification tasks.Importantly,the GCO algorithm has a robust performance in the noise environment.

Key words

gradient-free optimization/Gray code/genetic-based method

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基金项目

National Natural Science Foundation of China(61871234)

National Natural Science Foundation of China(62375140)

Postgraduate Research & Practice Innovation Program of Jiangsu Province(KYCX19_0900)

出版年

2024
中国物理B(英文版)
中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI
影响因子:0.995
ISSN:1674-1056
参考文献量27
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