{"type":"journal_article","citation":{"ama":"Bohmann M, Agudelo E, Sperling J. Probing nonclassicality with matrices of phase-space distributions. Quantum. Published online 2020. doi:10.22331/q-2020-10-15-343","apa":"Bohmann, M., Agudelo, E., & Sperling, J. (2020). Probing nonclassicality with matrices of phase-space distributions. Quantum, Article 343. https://doi.org/10.22331/q-2020-10-15-343","chicago":"Bohmann, Martin, Elizabeth Agudelo, and Jan Sperling. “Probing Nonclassicality with Matrices of Phase-Space Distributions.” Quantum, 2020. https://doi.org/10.22331/q-2020-10-15-343.","bibtex":"@article{Bohmann_Agudelo_Sperling_2020, title={Probing nonclassicality with matrices of phase-space distributions}, DOI={10.22331/q-2020-10-15-343}, number={343}, journal={Quantum}, author={Bohmann, Martin and Agudelo, Elizabeth and Sperling, Jan}, year={2020} }","mla":"Bohmann, Martin, et al. “Probing Nonclassicality with Matrices of Phase-Space Distributions.” Quantum, 343, 2020, doi:10.22331/q-2020-10-15-343.","short":"M. Bohmann, E. Agudelo, J. Sperling, Quantum (2020).","ieee":"M. Bohmann, E. Agudelo, and J. Sperling, “Probing nonclassicality with matrices of phase-space distributions,” Quantum, Art. no. 343, 2020, doi: 10.22331/q-2020-10-15-343."},"year":"2020","language":[{"iso":"eng"}],"_id":"26290","date_updated":"2023-04-20T15:12:58Z","article_number":"343","doi":"10.22331/q-2020-10-15-343","author":[{"last_name":"Bohmann","full_name":"Bohmann, Martin","first_name":"Martin"},{"last_name":"Agudelo","full_name":"Agudelo, Elizabeth","first_name":"Elizabeth"},{"last_name":"Sperling","id":"75127","first_name":"Jan","orcid":"0000-0002-5844-3205","full_name":"Sperling, Jan"}],"department":[{"_id":"15"},{"_id":"170"},{"_id":"706"},{"_id":"35"}],"publication":"Quantum","publication_identifier":{"issn":["2521-327X"]},"publication_status":"published","status":"public","date_created":"2021-10-15T16:10:46Z","abstract":[{"text":"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 \\cite{BA19}. 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.","lang":"eng"}],"title":"Probing nonclassicality with matrices of phase-space distributions","user_id":"16199"}