  Since its discovery in 2005, the hydrodynamic pilot-wave system has provided
a concrete macroscopic realization of wave-particle duality and concomitant
classical analogs of a growing list of quantum effects. The question naturally
arises as to whether this system might support statistical states that violate
Bell's inequality, and so yield a classical analog of quantum entanglement. We
here introduce a new platform for addressing this question, a numerical model
of coupled bipartite tunneling in the hydrodynamic pilot-wave system. We
demonstrate that, under certain conditions, the Bell inequality is violated in
a static Bell test owing to correlations induced by the wave-mediated coupling
between the two subsystems. The establishment of non-factorizable states with
two spatially separated classical particles introduces the possibility of novel
forms of quantum-inspired classical computing.
