Proposal to observe path superpositions in a double-slit setup

The interference pattern produced by a quantum particle in Young???s double-slit setup is attributed to the particle???s wave function having gone through both slits. In the path integral formulation, this interference involves a superposition of paths, going through either slit, linking the source to the detection point. We show how these paths superpositions can in principle be observed by implementing a series of minimally perturbing weak measurements between the slits and the detection plane. We further propose a simplified protocol in order to observe these ???weak trajectories??? with single photons.