Quantum motional state tomography with nonquadratic potentials and neural networks
Talitha Weiss, Oriol Romero-Isart · Physical Review Research · 2019
This paper proposes a novel method to reconstruct the motional quantum state of trapped particles, which is a critical task to demonstrate genuine quantum phenomena. The method exploits the complex quantum dynamics in a non-quadratic potential by reconstructing the initial unknown state from the time evolution of the mean value and variance of its position. Such a reconstruction is a hard problem that, however, is shown to be solvable by a neural network.