Abstract
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. We also demonstrate how these techniques can be used to find molecular
excited states of various symmetries using a noisy processor. We use error
mitigation techniques to further improve the quality of our results.
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