A Recursive Approach to Representation in Hilbert Spaces of Increasing Dimension: Applications to Quantum-centric HPC tool development

In this short conference paper, we highlight the potential of our mpi4py/qiskit wrapper for designing and implementing hybrid classical-quantum frameworks that leverage subgroup theory and many parallel circuits in an optimally efficient manner (given various problem sizes and resource constraints). In order to perform detailed chemical kinetic computations (like for reacting flow applications), we sometimes require ab initio estimates of certain properties. The results presented in this Conference Submission provide verification on particle in a box (PIB), ring (PIR), and/or lattice (PIL) examples and illustrate how this work may be translated for other physics-based models (or even non-physical examples).