A Leap among Entanglement and Neural Networks: A Quantum Survey

Perhaps, the modern definition of AI - as the ensemble of computer systems empowered with the ability to learn from data through statistical techniques - can be dated back to 1959. Machine Learning (ML), a subclass of AI, is a discipline that aims at studying algorithms that are able to learn from experience and data to perform tasks without following explicit instructions. Often, these algorithms are based on a computational model that belongs to differentiable programming techniques, called Neural Networks (NNs). The success of such algorithms resides in their ability to learn to achieve a specific goal [95, 121], i.e., they learn to discover hidden patterns and relations among data to fulfill the task at hand [89, 120]. Mathematically, NNs are made of a sequence of transformations, called layers, composed of affine operators and elementwise nonlinearities. Then, the goal of learning is to modify the transformations' parameters to fulfill a task successfully. Whenever a model accounts for more than a couple of such layers, it is called a Deep Learning (DL) model or a Deep Neural Network (DNN). Thanks to their enormous representation power and the development of new technologies and training algorithms, DL models obtained astonishing results in the last two decades, achieving superhuman performance on certain tasks [177].