We present a method of a quantum simulation of a quantum harmonic oscillator in a special case of the deformed commutation relation, which corresponds to the so-called q-deformed oscillator on an IBM quantum computer. Using the method of detection of energy levels of a spin system on a quantum computer by probe spin evolution we obtain the energy levels of both the q-deformed quantum harmonic and anharmonic oscillators.
@article{arxiv.2311.15068,
title = {Modelling of q-deformed harmonic oscilator on quantum computer},
author = {M. I. Samar and V. M. Tkachuk},
journal= {arXiv preprint arXiv:2311.15068},
year = {2023}
}