Realization of Chiral Wave Functions in Quantum Computer

Abstract

Chirality is a physical property that features asymmetry from its mirror image. In condensed matter systems, chiral fermions can appear as quantum Hall edge states, and it only propagate in a certain direction. As they cannot be localized, the external perturbations cannot destabilize the chiral fermions. In this work, we realize the chiral fermion by designing the discrete Hamiltonian using the current IBM quantum computer platform (IBM-Q). We measure the robust propagations of the wave functions even in the presence of strong disorder. Finally, to confirm the robustness of the chiral fermion, we compare our results with the conventional non-chiral model. *This research was supported by the quantum com-puting technology development program of the National Research Foundation of Korea(NRF) funded by the Korean government (Ministry of Science and ICT(MSIT)) (No. 2020M3H3A1110365). This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (Grants No.RS-2023-00252085 and No. RS-2023-00218998).