Cumulative fidelity of LMT clock atom interferometers in the presence of laser noise

Clock atom interferometry is an emerging technique in precision measurement, well suited for sensitivity enhancement through large momentum transfer (LMT). Although next-generation sensors aim for LMT factors beyond $10^4$, their feasibility has been questioned due to potential impacts of laser frequency noise. We address this concern by analyzing the cumulative fidelity of sequential state inversions, showing that population error scales linearly with pulse number, not quadratically. Parasitic interferometer paths from imperfect pulses contribute negligibly, confirming that laser frequency noise is not a practical limitation.