Multilayer Perceptron for Calculating Quantum Probabilities at the Hilbert Space

Nieto-Chaupis H. · ETCM 2025 - 9th Ecuador Technical Chapters Meeting (2025) · DOI: 10.1109/etcm67548.2025.11304477

Resumen

The concept of perceptron is brought to a territory dictated by properties of Hilbert space in order to derive quantum mechanics properties, such as the calculation of probability from a set of inputs by encompassing the quantum formalism. Under this approach, inputs become the kets of Dirac's notation. The well-known completeness relations are defined inside a internal layer. The unitary operator is also taken into account at the present formulation in order to fulfill the requirements to construct the quantum observables such probability. In this manner, a realistic output can be calculated in a straightforward for yielding the square of wave function or quantum mechanics probability. To accomplish this a double layer in perceptron was needed. The results of paper are indicating that a dedicate artificial neural network might be a source of automated production of quantum probabilities, given a set of well-defined inputs and parameters.

Instituciones: Universidad Autónoma del Perú