  Recently, Motes et al. proposed in Phys. Rev. Lett. 114, 170802 (2015) a
linear optics interferometer with N identical single photon input states as a
tool for sub-shot-noise phase estimation which does not require NOON states
sources. This thesis investigates how the degree of distinguishability between
the input photonic spectra affects the interferometric phase sensitivity, by
employing the results obtained by Tamma and Laibacher in Phys. Rev. Lett. 114,
243601 (2015). Remarkably, the obtained results show, that for small phases,
the phase sensitivity in the case of completely distinguishable photons is
identical to the one in the case of identical photons considered by Motes et
al. apart from a constant factor that is independent of the number N of input
photons. Consequently, multiphoton interference does not provide in the scheme
proposed by Motes et al. any sub-shot-noise sensitivity for a large number N of
photons.
