エネルギー散逸を許す実時間量子ダイナミクスによる大域最適化

カテゴリ: 論文誌(論文単位)

グループ名: 【C】電子・情報・システム部門

発行日: 2013/05/01

タイトル(英語): Global Optimization by Quantum Dynamics with Energy Dissipation

著者名: 伊丹　哲郎（広島国際大学工学部機械ロボティクス学科）

著者名(英語): Teturo Itami (Faculty of Mechanics and Robotics, Hiroshima International University)

キーワード: 大局的最適化，実時間量子力学，エネルギー散逸，正準量子化，量子力学の因果的解釈　　Global optimization，Real time quantum dynamics，Energy dissipation，Canonical quantization，Causal interpretation of quantum mechanics

要約(英語): Both reduction in computational load and setting parameters with ease are necessary in calculation of global optimization. For this we propose a new quantum mechanical method of the problem. Global optimization is achieved by a quantum particle with energy dissipation due to frictional force. Canonical quantization is applied to a system that consists of one mass point under friction proportional to its velocity. Realistic motion of a particle is abstracted from a resultant quantum system according to a causal interpretation. By simulation of the quantum particle motion under potential functions V(x) with local minima and one global minimum, it is clarified that the particle with its initial position at the local minimum at rest necessarily arrives at the global minimum. Only one particle is needed in the new algorithm. When we clarify mathematical structure of our algorithm, difficulties found in quantum annealing or conventional method for global optimization will thereby be solved in the new method.

本誌: 電気学会論文誌C（電子・情報・システム部門誌） Vol.133 No.5 （2013） 特集：新たな産業への応用が進む無線通信技術

本誌掲載ページ: 985-993 p

原稿種別: 論文／日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejeiss/133/5/133_985/_article/-char/ja/