JACIII Vol.23 No.4 pp. 726-734
doi: 10.20965/jaciii.2019.p0726


Quantum Implementation of Powell’s Conjugate Direction Method

Kehan Chen*, Fei Yan*, Kaoru Hirota**, and Jianping Zhao*

*School of Computer Science and Technology, Changchun University of Science and Technology
No.7089, Weixing Road, Changchun, Jilin 130022, China

**Beijing Institute of Technology
5 South Zhongguancun Street, Haidian District, Beijing 100081, China

January 27, 2019
February 18, 2019
July 20, 2019
quantum information, quantum circuit, quantum module, Powell’s method

A quantum circuit implementation of Powell’s conjugate direction method (“Powell’s method”) is proposed based on quantum basic transformations in this study. Powell’s method intends to find the minimum of a function, including a sequence of parameters, by changing one parameter at a time. The quantum circuits that implement Powell’s method are logically built by combining quantum computing units and basic quantum gates. The main contributions of this study are the quantum realization of a quadratic equation, the proposal of a quantum one-dimensional search algorithm, the quantum implementation of updating the searching direction array (SDA), and the quantum judgment of stopping the Powell’s iteration. A simulation demonstrates the execution of Powell’s method, and future applications, such as data fitting and image registration, are discussed.

Cite this article as:
Kehan Chen, Fei Yan, Kaoru Hirota, and Jianping Zhao, “Quantum Implementation of Powell’s Conjugate Direction Method,” J. Adv. Comput. Intell. Intell. Inform., Vol.23, No.4, pp. 726-734, 2019.
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