Armin Rahmani, Western Washington Unviersity: Probing the topological and geometric excitations of fractional quantum Hall systems on digitized quantum computers

Intermediate-scale quantum technologies provide new opportunities for scientific discovery. Yet, they also pose the challenge of identifying problems that can take advantage of such devices despite their present-day limitations. In solid-state materials, fractional quantum Hall phases continue to attract attention as hosts of charged topological excitations, exhibiting anyonic statistics and neutral geometrical excitations analogous to gravitons. However, direct implementation of anyonic braiding and detection of the graviton mode remain challenging. Here, we identify a quasi-one-dimensional model that allows us to simulate (1) quasihole braiding and (2) a geometric quench on the IBM quantum computer. The quantum algorithms are executed on the IBM device, with advanced error mitigation, providing experimental signatures of the two phenomena above.