{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,27]],"date-time":"2025-05-27T07:28:25Z","timestamp":1748330905396,"version":"3.37.3"},"reference-count":80,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62072119","61672007"],"award-info":[{"award-number":["62072119","61672007"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100021171","name":"Basic and Applied Basic Research Foundation of Guangdong Province","doi-asserted-by":"publisher","award":["2020A1515011180"],"award-info":[{"award-number":["2020A1515011180"]}],"id":[{"id":"10.13039\/501100021171","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2023,1]]},"DOI":"10.1109\/tit.2022.3204712","type":"journal-article","created":{"date-parts":[[2022,9,8]],"date-time":"2022-09-08T19:58:19Z","timestamp":1662667099000},"page":"251-261","source":"Crossref","is-referenced-by-count":6,"title":["Internal Boundary Between Entanglement and Separability Within a Quantum State"],"prefix":"10.1109","volume":"69","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0051-0081","authenticated-orcid":false,"given":"Bang-Hai","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Physics, University of Oxford, Oxford, U.K."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1038\/nphys2309"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1038\/s41586-019-1666-5"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.97.050302"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.81.865"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1016\/j.physrep.2009.02.004"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRev.47.777"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/BF01491987"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysicsPhysiqueFizika.1.195"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.40.4277"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.67.661"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.69.2881"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.1895"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.1994.365700"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.77.1413"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(95)00930-2"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(97)00416-7"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.59.4206"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.86.5184"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.67.032312"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1007\/s11005-004-0767-7"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.26421\/QIC3.3-1"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.99.130504"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.83.1054"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.62.032313"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(96)00706-2"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.82.1056"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(92)90952-I"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.80.2261"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.125.110401"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/34\/35\/318"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.58.826"},{"issue":"6","key":"ref32","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevA.61.062302","article-title":"Separability in 2\u00d7N composite quantum systems","volume":"61","author":"Kraus","year":"2000","journal-title":"Phys. Rev. A, Gen. Phys."},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.62.032310"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.62.052310"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.64.052302"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.89.052319"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/s003400000502"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1142\/S0219749904000924"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-005-5657-0"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/37\/8\/008"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.80.052313"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.82.012332"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.93.042335"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1137\/1038003"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/47\/48\/483001"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.26421\/QIC15.13-14-2"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/44\/18\/185308"},{"volume-title":"Functional Analysis: Theory and Applications","year":"2012","author":"Edwards","key":"ref48"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(00)00401-1"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/45\/39\/395307"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2006.04.006"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.75.052333"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.72.022310"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.79.042337"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-003-0877-6"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.61.062313"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1002\/3527603549.ch7"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.59.141"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.68.012308"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1080\/09500340110115488"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.77.024303"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.82.5385"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.147902"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.78.042309"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.86.5188"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1002\/9780470022184.hmm108"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1038\/nphys1652"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.90.022312"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2020.3004566"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1016\/S0375-9601(01)00142-6"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.113.050404"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.87.040401"},{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(93)90880-9"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcss.2004.06.003"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.69.022308"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.93.220503"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.25131\/sajg.123.0009.sup-mat"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.91.025001"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/35\/17\/307"},{"key":"ref80","doi-asserted-by":"publisher","DOI":"10.1080\/09500340110105975"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/9997158\/09882138.pdf?arnumber=9882138","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T13:06:05Z","timestamp":1706792765000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/9882138\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1]]},"references-count":80,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tit.2022.3204712","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2023,1]]}}}