Topological quantum moves for optimizing business processes: representing work flows as multidimensional topological manifolds

Tatiana offers a fundamentally new approach to optimizing complex business processes, particularly in the IT field, based on a synthesis of topological data analysis methods and quantum computing paradigms. Traditional linear models of processes are considered insufficient to describe their true complexity and interdependencies. As an alternative, the representation of business processes in the form of dynamic multidimensional topological manifolds is proposed, where the components of the process and their interrelationships form a non-trivial geometric structure. A key element of the approach is to adapt the concept of quantum moves to find optimal trajectories in these topological spaces. The theoretical basis of "topological quantum annealing" is being developed, aimed at minimizing the "entropy of the process" as a metric of inefficiency by achieving an energy minimum of the system. This concept opens the way to global process optimization that takes into account nonlinear effects and hidden patterns that are inaccessible to classical algorithms.