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Quantum Computing allows, in principle, the encoding of the exponentiallyscaling many-electron wave function onto a linearly scaling qubit register,offering a promising solution to overcome the limitations of traditionalquantum chemistry methods. An essential requirement for ground state quantumalgorithms to be practical is the initialisation of the qubits to ahigh-quality approximation of the sought-after ground state. Quantum StatePreparation (QSP) allows the preparation of approximate eigenstates obtainedfrom classical calculations, but it is frequently treated as an oracle inquantum information. In this study, we conduct QSP on the ground state ofprototypical strongly correlated systems, up to 28 qubits, using the HyperionGPU-accelerated state-vector emulator. Various variational and non-variationalmethods are compared in terms of their circuit depth and classical complexity.Our results indicate that the recently developed Overlap-ADAPT-VQE algorithmoffers the most advantageous performance for near-term applications.

Sparse Quantum State Preparation for Strongly Correlated Systems