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Quantum Dynamics of Optimization Problems paper by Peng Wang
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Quantum Dynamics of Optimization Problems

by Peng Wang ID: arxiv-paper--2012.03312

In this letter, by establishing the Schrรถdinger equation of the optimization problem, the optimization problem is transformed into a constrained state quantum problem with the objective function as the potential energy. The mathematical relationship between the objective function and the wave functi...

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BibTeX 
@misc{arxiv_paper__2012.03312,
  author = {Peng Wang},
  title = {Quantum Dynamics of Optimization Problems Paper},
  year = {2026},
  howpublished = {\url{https://arxiv.org/abs/2012.03312v2}},
  note = {Accessed via Free2AITools Knowledge Fortress}
}
APA Style
Peng Wang. (2026). Quantum Dynamics of Optimization Problems [Paper]. Free2AITools. https://arxiv.org/abs/2012.03312v2

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๐Ÿ“ Executive Summary

"In this letter, by establishing the Schrรถdinger equation of the optimization problem, the optimization problem is transformed into a constrained state quantum problem with the objective function as the potential energy. The mathematical relationship between the objective function and the wave function is established, and the quantum interpretation of the optimization problem is realized. Under the black box model, the Schrรถdinger equation of the optimization problem is used to establish the k..."

โ Cite Node 

@article{Wang2020Quantum,
  title={Quantum Dynamics of Optimization Problems},
  author={Peng Wang and Gang Xin and Yuwei Jiao},
  journal={arXiv preprint arXiv:arxiv-paper--2012.03312},
  year={2020}
}

๐Ÿ‘ฅ Collaborating Minds

Peng Wang Gang Xin Yuwei Jiao

Abstract & Analysis

In this letter, by establishing the Schrรถdinger equation of the optimization problem, the optimization problem is transformed into a constrained state quantum problem with the objective function as the potential energy. The mathematical relationship between the objective function and the wave function is established, and the quantum interpretation of the optimization problem is realized. Under the black box model, the Schrรถdinger equation of the optimization problem is used to establish the kinetic equation, i.e., the Fokker-Planck equation of the time evolution of the optimization algorithm, and the basic iterative structure of the optimization algorithm is given according to the interpretation of the Fokker-Planck equation. The establishment of the Fokker-Planck equation allows optimization algorithms to be studied using dynamic methods and is expected to become an important theoretical basis for algorithm dynamics.

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id
arxiv-paper--2012.03312
source
arxiv
author
Peng Wang
tags
arxiv:quant-pharxiv:cs.NE

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