https://doi.org/10.1140/epjqt/s40507-024-00223-3
Research
Application of the QDST algorithm for the Schrödinger particle simulation in the infinite potential well
Institute of Information Technology FTIMS, Technical University of Łódź, Wólczańska 215, 90-924, Łódź, Poland
Received:
30
January
2024
Accepted:
14
February
2024
Published online:
22
February
2024
This paper examines whether a quantum computer can efficiently simulate the time evolution of the Schrödinger particle in a one-dimensional infinite potential well. In order to solve the Schrödinger equation in the quantum register, an algorithm based on the Quantum Discrete Sine Transform (QDST) is applied. The paper compares the results obtained in this way with the results given by the previous method (based on the QFT algorithm).
Key words: Quantum Discrete Sine Transform / Quantum simulations / Schrödinger particle
© The Author(s) 2024
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.