  Quantum walk is a synonym for multi-path interference and faster spread of a
particle in a superposition of position space. We study the effects of a
quantum mechanical interaction modeled to mimic quantum mechanical
gravitational interaction between the two states of the walkers. The study has
been carried out to investigate the entanglement generation between the two
quantum walkers that do not otherwise interact. We see that the states do in
fact get entangled more and more as the quantum walks unfold, and there is an
interesting dependence of entanglement generation on the mass of the two
particles performing the walks. We also show the sensitivity of entanglement
between the two walkers on the noise introduced in one of the walks. The
signature of quantum effects due to gravitational interactions highlights the
potential role of quantum systems in probing the nature of gravity.
