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Algorithm Research & Explore
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App. Res. of Comp. Printed Article
Vol. 40, 2023 No. 2
378-382

QAOA maximum cutting problem analogous to Dijkstra optimization and implementation

Pan Wenjie
Li Zhiqiang
Yang Hui
College of Information Engineering, Yangzhou University, Yangzhou Jiangsu 225100, China
DOI: 10.19734/j.issn.1001-3695.2022.06.0328

Abstract

The maximum cut problem is a typical problem in the quantum approximate optimization algorithm(QAOA), and Ansatz circuit is an important part of the algorithm. In order to reduce the construction cost of various graph structures in QAOA and improve its stability, this paper analyzed the optimizability of the circuit, combined the point edge storage characteristics of Dijkstra algorithm, proposed a Dijkstra-like optimization algorithm for the circuit, and applied it to the QAOA maximum cut problem. The paper used the Qiskit quantum framework to simulate the correctness of the optimization algorithm and used the real environment of IBM Quantum Composer to perform comparative experiments to verify the stability of the optimization. After comparing with the initial algorithm, the proposed algorithm reduced the CNOT gate by about 40% and significantly improves its stability. The results show that the Dijkstra-like optimization algorithm can optimize the QAOA maximum cut problem of multiple graph structures.

Foundation Support

国家自然科学基金资助项目(61070240)
江苏省高校基金资助项目(10KJB520021)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2022.06.0328
Publish at: Application Research of Computers Printed Article, Vol. 40, 2023 No. 2
Section: Algorithm Research & Explore
Pages: 378-382
Serial Number: 1001-3695(2023)02-010-0378-05

Publish History

[2022-09-23] Accepted Paper
[2023-02-05] Printed Article

Cite This Article

潘文杰, 李志强, 杨辉. QAOA最大切割问题的类Dijkstra优化及实现 [J]. 计算机应用研究, 2023, 40 (2): 378-382. (Pan Wenjie, Li Zhiqiang, Yang Hui. QAOA maximum cutting problem analogous to Dijkstra optimization and implementation [J]. Application Research of Computers, 2023, 40 (2): 378-382. )

About the Journal

  • Application Research of Computers Monthly Journal
  • Journal ID ISSN 1001-3695
    CN  51-1196/TP

Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

Aiming at the urgently needed cutting-edge technology in this discipline, Application Research of Computers reflects the mainstream technology, hot technology and the latest development trend of computer application research at home and abroad in a timely manner. The main contents of the journal include high-level academic papers in this discipline, the latest scientific research results and major application results. The contents of the columns involve new theories of computer discipline, basic computer theory, algorithm theory research, algorithm design and analysis, blockchain technology, system software and software engineering technology, pattern recognition and artificial intelligence, architecture, advanced computing, parallel processing, database technology, computer network and communication technology, information security technology, computer image graphics and its latest hot application technology.

Application Research of Computers has many high-level readers and authors, and its readers are mainly senior and middle-level researchers and engineers engaged in the field of computer science, as well as teachers and students majoring in computer science and related majors in colleges and universities. Over the years, the total citation frequency and Web download rate of Application Research of Computers have been ranked among the top of similar academic journals in this discipline, and the academic papers published are highly popular among the readers for their novelty, academics, foresight, orientation and practicality.

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