Quantum Probability and The Problem of Pattern Recognition

FEDERICO HOLIK

Workshop; International Workshop on Applied Mathematics & Quantum Information; 2016

Universidad de Cagliari

We discuss a possible generalization of the problem of pattern recognition to arbitrary probabilistic models. We discuss how to deal with the problem of recognizing an individual pattern among a family of different species or classes of objects which obey probabilistic laws which do not comply with Kolmogorov?s axioms. Our framework allows for the introduction of non-trivial correlations (as entanglement or discord) between the different species involved, opening the door to a new way of harnessing these physical resources for solving pattern recognition problems.