Gravitational time dilation as a resource in quantum sensing

Atomic clock interferometers are a valuable tool to test the interface between quantum theory and gravity, in particular via measurement of gravitational time dilation regime. Here, we investigate whether may be also used as resource information theory. In particular, show that for freely falling interferometer Mach-Zehnder interferometer, enhance precision estimating acceleration long interferometric times. To this aim, measurements should performed on both path degrees freedom.