{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T15:41:10Z","timestamp":1760197270315,"version":"build-2065373602"},"reference-count":39,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2018,4,11]],"date-time":"2018-04-11T00:00:00Z","timestamp":1523404800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Natural     Science Foundation of China","award":["11671006","11671294"],"award-info":[{"award-number":["11671006","11671294"]}]},{"name":"Outstanding     Youth Foundation of Shanxi Province","award":["201701D211001"],"award-info":[{"award-number":["201701D211001"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>A measure of nonclassicality    N    in terms of local Gaussian unitary operations for bipartite Gaussian states is introduced.    N    is a faithful quantum correlation measure for Gaussian states as product states have no such correlation and every non product Gaussian state contains it. For any bipartite Gaussian state     \u03c1  A B     , we always have     0 \u2264 N (  \u03c1  A B   ) &lt; 1    , where the upper bound 1 is sharp. An explicit formula of    N    for     ( 1 + 1 )    -mode Gaussian states and an estimate of    N    for     ( n + m )    -mode Gaussian states are presented. A criterion of entanglement is established in terms of this correlation. The quantum correlation    N    is also compared with entanglement, Gaussian discord and Gaussian geometric discord.<\/jats:p>","DOI":"10.3390\/e20040266","type":"journal-article","created":{"date-parts":[[2018,4,11]],"date-time":"2018-04-11T12:16:50Z","timestamp":1523449010000},"page":"266","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Nonclassicality by Local Gaussian Unitary Operations for Gaussian States"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6678-4667","authenticated-orcid":false,"given":"Yangyang","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shanxi University, Taiyuan 030006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaofei","family":"Qi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shanxi University, Taiyuan 030006, China"},{"name":"Institute of Big Data Science and Industry, Shanxi University, Taiyuan 030006, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinchuan","family":"Hou","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shanxi University, Taiyuan 030006, China"},{"name":"Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,4,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"865","DOI":"10.1103\/RevModPhys.81.865","article-title":"Quantum entanglement","volume":"81","author":"Horodecki","year":"2009","journal-title":"Rev. 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