  We propose to exploit the quantum properties of nonlinear media to estimate
the parameters of massless wormholes. The spacetime curvature produces a change
in length with respect to Minkowski spacetime that can be estimated in
principle with an interferometer. We use quantum metrology techniques to show
that the sensitivity is improved with nonlinear media and propose a nonlinear
Mach-Zehnder interferometer to estimate the parameters of massless wormholes
that scales beyond the Heisenberg limit.
