Unified nonclassicality criteria

Abstract

In this work we generalize the Bochner criterion addressing the characteristic function, i.e., the Fourier transform, of the Glauber-Sudarshan phase-space function. For this purpose we extend the Bochner theorem by including derivatives of the characteristic function. The resulting necessary and sufficient nonclassicality criteria unify previously known moment-based criteria with those based on the characteristic function. For applications of the generalized nonclassicality probes, we provide direct sampling formulas for balanced homodyne detection. A squeezed vacuum state is experimentally realized and characterized with our method. This complete framework -- theoretical unification, sampling approach, and experimental implementation -- presents an efficient toolbox to characterize quantum states of light for applications in quantum technology.

References in corpus (5)

• Experimental nonclassicality of single-photon-added thermal light states
• Testing nonclassicality in multimode fields: a unified derivation of classical inequalities
• Experimental determination of a nonclassical Glauber-Sudarshan P function
• Directly estimating non-classicality
• Nonclassical correlation properties of radiation fields

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