Application of the QDST algorithm for the Schrödinger particle simulation in the infinite potential well

Marcin Ostrowski · EPJ Quantum Technology · 2024

Abstract 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).

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