Exploiting non-orthogonality in quantum algorithms for calculations of molecular electronic states

Quantum algorithms for the calculation of electronic states of molecules on near-term quantum computers are primarily hybrid, involving iterative schemes that alternate quantum and classical processing components.  Repeatedly interfacing quantum and classical steps increases the measurement costs and leads to a tradeoff between requirements of viable coherence and a feasible number of circuit repetitions.  I shall present new options for electronic structure quantum algorithms based on the use of non-orthogonal methods that allow a different cut between quantum and classical processing components to be made.  Applications to strongly correlated systems and scaling of computational resources for these will be discussed, together with an outlook for near-term realizations.