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

Abstract

Assessing whether a quantum state $\hat \rho$ is nonclassical (i.e., incompatible with a mixture of coherent states) is a ubiquitous question in quantum optics, yet a nontrivial experimental task because many nonclassicality witnesses are nonlinear in $\hat \rho$. In particular, if we want to witness or measure the nonclassicality of a state by evaluating its quadrature coherence scale, this a priori requires full state tomography. Here, we provide an experimentally friendly procedure for directly accessing this quantity with a simple linear interferometer involving two replicas (independent and identical copies) of the state $\hat \rho$ supplemented with photon number measurements. This finding, that we interpret as an extension of the Hong-Ou-Mandel effect, illustrates the wide applicability of the multicopy interferometric technique in order to circumvent state tomography in quantum optics.

Dates and versions

hal-03911306 , version 1 (22-12-2022)

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Célia Griffet, Matthieu Arnhem, Stephan De Bièvre, Nicolas J. Cerf. Interferometric measurement of the quadrature coherence scale using two replicas of a quantum optical state. 2022. ⟨hal-03911306⟩
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