We study effects of phase fluctuations on phase sensitivity and visibility ofa class of robust path-entangled photon Fock states (known as mm' states) ascompared to the maximally path-entangled N00N states in presence of realisticphase fluctuations such as turbulence noise. Our results demonstrate that themm' states, which are more robust than the N00N state against photon loss,perform equally well when subject to such fluctuations. We show that the phasesensitivity with parity detection for both of the above states saturates thequantum Cramer-Rao bound in presence of such noise, suggesting that the paritydetection presents an optimal detection strategy.
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