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

• URL: http://arxiv.org/abs/2211.12992v2
• Date: Thu, 31 Aug 2023 15:02:31 GMT
• Title: Interferometric measurement of the quadrature coherence scale using two replicas of a quantum optical state
• Authors: C\'elia Griffet, Matthieu Arnhem, Stephan De Bi\`evre, Nicolas J. Cerf
• Abstract summary: 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 $textita priori$ requires full state tomography.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Assessing whether a quantum state $\hat \rho$ is nonclassical ($\textit{i.e.}$, 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 $\textit{a priori}$ requires full state tomography. Here, we provide an experimental 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-resolving measurements. This finding, which 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.

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