analiza aiqbench

This research presents a rigorous mathematical framework that allows quantum computers to solve specific stochastic differential equations exactly, effectively eliminating the need for traditional Monte Carlo sampling in certain simulations. By mapping classical noise realizations to deterministic quantum evolution via unitary dilation, the study offers a precise alternative to probabilistic approximation methods for modeling complex systems with additive and multiplicative noises. This advancement represents a significant step toward leveraging quantum mechanics for high-accuracy scientific computing without relying on statistical ensembles.