Solving quantum optimal control problems by wavelets method

Iranian Journal of Numerical Analysis and Optimization

مقاله 5، دوره 11، شماره 2 - شماره پیاپی 20، آذر 2021، صفحه 333-350   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2021.11332.0

نویسندگان

M. Rahimi¹؛ S.M. Karbassi^{* 1}؛ M.R. Hooshmandasl²

¹Department of Mathematical Sciences, Yazd University, Yazd, Iran.

²Department of Computer Science, University of Mohaghegh Ardabili, Ardabil, Iran.

چکیده

We present the quantum equation and synthesize an optimal control proce dure for this equation. We develop a theoretical method for the analysis of quantum optimal control system given by the time depending Schrödinger equation. The Legendre wavelet method is proposed for solving this problem. This can be used as an efficient and accurate computational method for obtaining numerical solutions of different quantum optimal control problems. The distinguishing feature of this paper is that it makes the method, previously used to solve non-quantum control equations based on Legendre wavelets, usable by using a change of variables for quantum control equations.

کلیدواژه‌ها

Quantum Equations؛ Optimal Control Problems؛ Legendre Wavelets Methods

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