Efficient Hamiltonian Variational Ansatz for Quantum Simulation of Fractional Quantum Hall State

Quantum computing holds the promise of efficiently simulating strongly correlated quantum systems that are intractable for classical computers. An efficient quantum algorithm for generating the ground state wavefunction is of vital importance to quantum simulation of strongly correlated problem. We propose an algorithm for constructing efficient Hamiltonian variational ansatz for quantum simulation of strongly correlated system on present-day noisy intermediate-scale quantum devices. In this talk, we will focus on constructing the variational ansatz for simulating Laughlin wavefunction in the fractional quantum Hall effect. The ansatz parameters are then optimized through variational quantum eigensolver (VQE) simulation. The optimized parameters scale predictably with system size. Implementing the circuit on quantum hardware with error mitigation techniques yields results consistent with simulations. This work opens new avenues for the practical quantum simulation of topological states and highlights this algorithm's potential in studying other strongly correlated quantum systems.