Reconstruction of Bohmian trajectories via weak measurement for bipartite states

Abstract

Here we propose a protocol to reconstruct Bohmian trajectories for bipartite states of massive particles moving in an arbitrary one-dimensional potential. The proposal employs weak measurements and generalizes recent proposals presented in the literature (Kocsis et al., 2011). Finally, our work opens perspectives to experimentally study quantum correlation (primary resource for quantum information tasks) using the hydrodynamic formulation of quantum mechanics as suggested by Madelung and Bohm.