{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,13]],"date-time":"2025-11-13T02:03:32Z","timestamp":1762999412062,"version":"build-2065373602"},"reference-count":49,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2018,12,22]],"date-time":"2018-12-22T00:00:00Z","timestamp":1545436800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11671294","11671006"],"award-info":[{"award-number":["11671294","11671006"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>A quantum correlation     N  F   G , A      for     ( n + m )    -mode continuous-variable systems is introduced in terms of local Gaussian unitary operations performed on Subsystem A based on Uhlmann fidelity F. This quantity is a remedy for the local ancilla problem associated with the geometric measurement-induced correlations; is local Gaussian unitary invariant; is non-increasing under any Gaussian quantum channel performed on Subsystem B;and is an entanglement monotone when restricted to pure Gaussian states in the     ( 1 + m )    -mode case. A concrete formula for     ( 1 + 1 )    -mode symmetric squeezed thermal states (SSTSs) is presented. We also compare     N  F   G , A      with other quantum correlations in scale, such as Gaussian quantum discord and Gaussian geometric discord, for two-mode SSTSs, which reveals that     N  F   G , A      has some advantage in detecting quantum correlations of Gaussian states.<\/jats:p>","DOI":"10.3390\/e21010006","type":"journal-article","created":{"date-parts":[[2018,12,24]],"date-time":"2018-12-24T10:37:49Z","timestamp":1545647869000},"page":"6","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Quantum Correlation Based on Uhlmann Fidelity for Gaussian States"],"prefix":"10.3390","volume":"21","author":[{"given":"Liang","family":"Liu","sequence":"first","affiliation":[{"name":"College of Mechanics, Taiyuan University of Technology, Taiyuan 030024, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6534-9228","authenticated-orcid":false,"given":"Jinchuan","family":"Hou","sequence":"additional","affiliation":[{"name":"College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China"}]},{"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"}]}],"member":"1968","published-online":{"date-parts":[[2018,12,22]]},"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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