Simulation of Diffusion of a Single Schrödinger Particle in the Quantum Register |
| M. Ostrowski
Institute of Information Technology FTIMS, Technical University of Łódź, Wólczańska 215, 90-924 Łódź, Poland |
| Received: February 6, 2020; in final form March 12, 2020 |
| Full Text PDF |
| This paper examines whether a quantum computer can efficiently simulate the evolution of the Schrödinger particle in a one-dimensional infinite potential well. The present study involves simulation of the change of the particle's state due to instant enlarging of the well's size. In order to solve the Schrödinger equation in the quantum register, an algorithm based on the Quantum Fourier Transform is applied. The paper presents an algorithm for simulating time evolution of such a system, implemented on standard two-input gates. |
DOI:10.12693/APhysPolA.137.1182 topics: quantum computations, quantum simulations, Schrödinger particle |