Realizing Fractional-Quantum-Hall Gravitons on Quantum Computers*

Intermediate-scale quantum technologies provide unprecedented opportunities for scientific discoveries while posing the challenge of identifying important problems that can take advantage of them. There has been a significant interest in the solid state and particle physics models that can be implemented on such devices. In solid-state materials, fractional quantum Hall phases are one of the leading platforms for realizing graviton-like excitations. However, their direct observation remains an experimental challenge. In this talk, we discuss how to generate these excitations on the IBM quantum processor. We first identify an effective one-dimensional model that captures the geometric properties and graviton-like dynamics of fractional quantum Hall states. We then develop an efficient, optimal-control-based variational quantum algorithm to simulate geometric quench and the subsequent graviton dynamics, which we successfully implement on the IBM quantum computer. Our results open a new avenue for studying the emergence of gravitons in a new class of tractable models that lend themselves to direct implementations on the existing quantum hardware.