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We propose a state-averaged orbital optimization scheme for improving theaccuracy of excited states of the electronic structure Hamiltonian for use onnear-term quantum computers. Through extensive benchmarking of the method onvarious small molecular systems, we find that the method is capable ofproducing more accurate results than fixed basis FCI while simultaneously usingfewer qubits. In particular, we show that for $\mathrm{H_2}$, the method iscapable of matching the accuracy of FCI in the cc-pVTZ basis (56 qubits) whileonly using 14 qubits.

Qubit Count Reduction by Orbital Optimization for Variational Quantum Excited States Solvers