Probing nonclassicality with matrices of phase-space distributions
- URL: http://arxiv.org/abs/2003.11031v3
- Date: Mon, 12 Oct 2020 08:55:37 GMT
- Title: Probing nonclassicality with matrices of phase-space distributions
- Authors: Martin Bohmann, Elizabeth Agudelo, and Jan Sperling
- Abstract summary: We devise a method to certify nonclassical features via correlations of phase-space distributions.
Our approach complements and extends recent results that were based on Chebyshev's inequality.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- 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 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.
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