Quantum dynamics of a two-level fractional Hall system on NISQ devices.*

In quantum fractional Hall systems, physical properties are dominated by electron-electron interaction, resulting in most remarkable phenomenon like quantized resistivity, fractional quasiparticle excitations etc. Ground state properties and excited state dynamics of such systems can be evaluated on classical computer using exact diagonalization techniques on small systems due to an exponential increase of the Hilbert space. In this talk, we will present quantum algorithms to simulate short-time quantum dynamics of a two-level fractional Hall system under a laser-driven electromagnetic pulse. By using IBM-NISQ Quantum Computers, we identify the existence of highly novel excited states that carry Hall current. In addition, high harmonic generation of such non-trivial phenomena is also measured on quantum computers.