Neural-network-based parameter estimation for quantum detection

Artificial neural networks bridge input data into output results by approximately encoding the function that relates them. This is achieved after training the network with a collection of known inputs and results leading to an adjustment of the neuron connections and biases. In the context of quantum detection schemes, neural networks find a natural playground. In particular, in the presence of a target (e.g. an electromagnetic field), a quantum sensor delivers a response, i.e., the input data, which can be subsequently processed by a neural network that outputs the target features. In this work we demonstrate that adequately trained neural networks enable to characterize a target with i) Minimal knowledge of the underlying physical model ii) In regimes where the quantum sensor presents complex responses and iii) Under a significant shot noise due to a reduced number of measurements. We exemplify the method with a development for $^{171}$Yb$^{+}$ atomic sensors. However, our protocol is general, thus applicable to arbitrary quantum detection scenarios.