Preserving Symmetries for Variational Quantum Eigensolvers in the Presence of Noise

Understand

One of the most promising applications of noisy intermediate-scale quantum computers is the simulation of molecular Hamiltonians using the variational quantum eigensolver.

• We show that encoding symmetries of the simulated Hamiltonian in the VQE ansatz reduces both classical and quantum resources compared to other, widely available ansatze.
• Through simulations of the H$_2$ molecule, we verify that these improvements persist in the presence of noise.
• This simulation is performed with IBM software using noise models from real devices.