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

More Information: M.B. acknowledges financial support by the Leopoldina Fellowship Programme of the German National Academy of Science (LPDS 2019-01) and by the Erwin Schrodinger International Institute for Mathematics and Physics (ESI), Vienna (Austria) through the thematic programme on Quantum Simulation – from Theory to Application. E.A. acknowledges funding from the European Union´s Horizon 2020 research and innovation programme under the Marie SklodowskaCurie IF InDiQE (EU project 845486). The authors thank J. Park, J. Lee, and H. Nha for valuable comments.
KeyWords: PHOTON STATISTICS; QUANTUM-MECHANICS; COHERENT STATES; OPERATORS
DOI: 10.22331/q-2020-10-15-343

ImpactFactor: 6.777
Citations: 25
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