Dataset name: Quantumness and its hierarchies in PT-symmetric down-conversion models Full names of authors: Jan Perina Jr. (ORCID 0000-0003-0542-7508), Karol Bartkiewicz (ORCID 0000-0002-5355-7756), Grzegorz Chimczak (0000-0003-2981-4027), Anna Kowalewska-Kudlaszyk (0000-0002-6088-099X), Adam Miranowicz (0000-0002-8222-9268), Joanna K. Kalaga (0000-0002-8957-1509) and Wieslaw Leonski (0000-0003-4728-8817) Publisher: Palacký University, Adam Mickiewicz University in Poznan, University of Zielona Gora Dataset description: see Description.txt Data availability: open data under CC-BY license Persistent identifier of the related article: Persistent identifier of the dataset: (DOI) Funding information: 1) ITI CZ.02.01.01/00/23_021/0008790 of the Ministry of Education, Youth, and Sports of the Czech Republic and EU; 2) project No. 25-15775S of the Czech Science Foundation; 3) Polish National Science Centre (NCN) under the Maestro Grant No. DEC-2019/34/A/ST2/00081; 4) program of the Polish Ministry of Science entitled 'Regional Excellence Initiative', project no. RID/SP/0050/2024/1 OECD classification: 10306 Keywords: quantum optics, PT-symmetry, two-mode bosonic systems, active and passive PT-symmetric systems, hierarchies of nonclassical states of light, entanglement, steering, Bell nonlocality