Emulation of fractional quantum Hall states with existing quantum hardware*

Emulating strongly correlated phases of matter with existing or near-term quantum hardware is of considerable interest. Here we present quantum circuits to generate both the ground and quasiparticle states corresponding to the Laughlin's $\nu=1/3$ fractional quantum Hall state in the second-quantized representation. Our circuit depth is linear in the number of qubits. We identify experimentally accessible correlation functions as signatures of this state and discuss the quantum hardware implementation.