Scientific Results – CNR – Istituto Nazionale di Ottica

Probing nonclassicality with matrices of phase-space distributions

Year: 2020

Authors: Bohmann M., Agudelo E., Sperling J.

Autors Affiliation: Austrian Acad Sci, Inst Quantum Opt & Quantum Informat IQOQI Vienna, Boltzmanngasse 3, A-1090 Vienna, Austria; INO CNR, QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy; LENS, Largo Enrico Fermi 2, I-50125 Florence, Italy; Paderborn Univ, Integrated Quantum Opt Grp, Appl Phys, D-33098 Paderborn, Germany

Abstract: We devise a method to certify nonclassical features via correlations of phase-space distributions by unifying the notions of quasiprobabilities and matrices of correlation functions. Our approach complements and extends recent results that were based on Chebyshev’s integral inequality [Phys. Rev. Lett. 124, 133601 (2020)]. The method developed here correlates arbitrary phase-space functions at arbitrary points in phase space, including multimode scenarios and higher-order correlations. Furthermore, our approach provides necessary and sufficient nonclassicality criteria, applies to phase-space functions beyond s-parametrized ones, and is accessible in experiments. To demonstrate the power of our technique, the quantum characteristics of discrete- and continuous-variable, single- and multimode, as well as pure and mixed states are certified only employing second-order correlations and Husimi functions, which always resemble a classical probability distribution. Moreover, nonlinear generalizations of our approach are studied. Therefore, a versatile and broadly applicable framework is devised to uncover quantum properties in terms of matrices of phase-space distributions.

Journal/Review: QUANTUM

Volume: 4 Pages from: 343-1 to: 343-16

KeyWords: PHOTON STATISTICS; QUANTUM-MECHANICS; COHERENT STATES; OPERATORS
DOI: 10.22331/q-2020-10-15-343

Citations: 7
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