Algorithm of Quantum Walk From Energy-Based Bayesian Probabilities

Nieto-Chaupis H. · ETCM 2025 - 9th Ecuador Technical Chapters Meeting (2025) · DOI: 10.1109/etcm67548.2025.11304454

Resumen

The ordinary problem of quantum walk is studied through Bayesian probabilities. Thus, in according to relevance of individual steps, the energy is calculated. In this manner, main idea consists in the differences between probability respect to previous ones, and how it is harnessed for an optimal quantum walk. Essentially, the walk is associated to those space-time where particle is approaching to some target or being far away of it. Thus, the definition of quantum mechanics evolution operator is exploited in order to orient to particle in a most stable state. Because of this, particle's energy would vary while particle is passing over the allowed space-time points. When energy is much more than allowed to particle, the trajectory is adjusted and the subsequent steps are efficiently reconfigured to the ones where particle would optimize its total energy. An algorithm is proposed and tested.

Instituciones: Universidad Autónoma del Perú