For N single photons in a linear-optical interferometer with photon-number-resolving detection, the classical Fisher information at zero phase is exactly k(N-k)/N, maximized by a balanced split between phase and reference modes.
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Distributed Phase Sensing with Multiphoton States in Optical Interferometry
For N single photons in a linear-optical interferometer with photon-number-resolving detection, the classical Fisher information at zero phase is exactly k(N-k)/N, maximized by a balanced split between phase and reference modes.