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Assessing whether a quantum state $\hat \rho$ is nonclassical($\textit{i.e.}$, incompatible with a mixture of coherent states) is aubiquitous question in quantum optics, yet a nontrivial experimental taskbecause many nonclassicality witnesses are nonlinear in $\hat \rho$. Inparticular, if we want to witness or measure the nonclassicality of a state byevaluating its quadrature coherence scale, this $\textit{a priori}$ requiresfull state tomography. Here, we provide an experimental procedure for directlyaccessing this quantity with a simple linear interferometer involving tworeplicas (independent and identical copies) of the state $\hat \rho$supplemented with photon-number-resolving measurements. This finding, which weinterpret as an extension of the Hong-Ou-Mandel effect, illustrates the wideapplicability of the multicopy interferometric technique in order to circumventstate tomography in quantum optics.

Interferometric measurement of the quadrature coherence scale using two replicas of a quantum optical state