Nonclassicality from Incomplete Fock-State Statistics
Abstract
Nonclassicality in bosonic systems can be certified directly from occupation probabilities without full state reconstruction. To complete a library of such criteria we introduce a numerical framework that constructs optimal linear nonclassicality witnesses from arbitrary subsets of measured occupation probabilities by solving a semi-infinite linear program. The method contains known analytical criteria as special cases while generally detecting substantially larger nonclassical regions. We provide an open-source implementation of the numerical optimization together with the analytical criteria discussed here, enabling direct application of the framework to measured occupation statistics across bosonic platforms. As a case study, we apply it to the resonant Jaynes--Cummings model with thermal states and reveal nonclassicality at short interaction times and close to thermal balance, where detection of nonclassicality is otherwise challenging.
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BibTeX
@misc{zonda2026nonclassicality,
title = {{Nonclassicality from Incomplete Fock-State Statistics}},
author = {Martin Žonda and Pavel Baláž and Lukáš Lachman and Darren W. Moore and Tomáš Novotný and Radim Filip},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.32908},
eprint = {2610.32908},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.32908},
}
RIS
TY - UNPB
TI - Nonclassicality from Incomplete Fock-State Statistics
AU - Martin Žonda
AU - Pavel Baláž
AU - Lukáš Lachman
AU - Darren W. Moore
AU - Tomáš Novotný
AU - Radim Filip
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.32908
UR - https://arxiv.org/abs/2610.32908
AB - Nonclassicality in bosonic systems can be certified directly from occupation probabilities without full state reconstruction. To complete a library of such criteria we introduce a numerical framework that constructs optimal linear nonclassicality witnesses from arbitrary subsets of measured occupation probabilities by solving a semi-infinite linear program. The method contains known analytical criteria as special cases while generally detecting substantially larger nonclassical regions. We provide an open-source implementation of the numerical optimization together with the analytical criteria discussed here, enabling direct application of the framework to measured occupation statistics across bosonic platforms. As a case study, we apply it to the resonant Jaynes--Cummings model with thermal states and reveal nonclassicality at short interaction times and close to thermal balance, where detection of nonclassicality is otherwise challenging.
ER -