---
_id: '26290'
abstract:
- lang: eng
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.
article_number: '343'
author:
- first_name: Martin
full_name: Bohmann, Martin
last_name: Bohmann
- first_name: Elizabeth
full_name: Agudelo, Elizabeth
last_name: Agudelo
- first_name: Jan
full_name: Sperling, Jan
id: '75127'
last_name: Sperling
orcid: 0000-0002-5844-3205
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
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} }'
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.
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.'
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).
date_created: 2021-10-15T16:10:46Z
date_updated: 2023-04-20T15:12:58Z
department:
- _id: '15'
- _id: '170'
- _id: '706'
- _id: '35'
doi: 10.22331/q-2020-10-15-343
language:
- iso: eng
publication: Quantum
publication_identifier:
issn:
- 2521-327X
publication_status: published
status: public
title: Probing nonclassicality with matrices of phase-space distributions
type: journal_article
user_id: '16199'
year: '2020'
...