Parameterized Two-Qubit Gates for Enhanced Variational Quantum Eigensolver

Abstract

The variational quantum eigensolver is a prominent hybrid quantum-classical algorithm expected to impact near-term quantum devices. They are usually based on a circuit ansatz consisting of parameterized single-qubit gates and fixed two-qubit gates. The effect of parameterized two-qubit gates in the variational quantum eigensolver is studied. A variational quantum eigensolver algorithm is simulated using fixed and parameterized two-qubit gates in the circuit ansatz and it is shown that the parameterized versions outperform the fixed versions, both when it comes to best energy and reducing outliers, for a range of Hamiltonians with applications in quantum chemistry and materials science.