In collaboration with Lighthouse Disruptive Innovation Group (LDIG), this work explores the application of quantum algorithms to spatial discretization problems. While quantum algorithms have begun to surpass classical approaches in several computational domains, their practical deployment remains constrained by current hardware and software limitations.
In this context, we introduce a quantum algorithm that achieves a quadratic improvement in spatial discretization efficiency within these practical constraints. Implemented using the PennyLane quantum software framework, the algorithm provides a concrete pathway from theoretical formulations to executable quantum circuits.
By enabling more efficient spatial representations, the proposed approach contributes to advancing quantum methods for spatial analysis. Numerical simulations and preliminary hardware experiments demonstrate the feasibility of the method and highlight its potential for future quantum-enhanced computational workflows.