{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,24]],"date-time":"2026-07-24T18:42:37Z","timestamp":1784918557402,"version":"3.55.0"},"reference-count":42,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"2","license":[{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T00:00:00Z","timestamp":1706745600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/100014013","name":"U.K. Research and Innovation (UKRI) through the U.K. government\u2019s Horizon Europe funding guarantee","doi-asserted-by":"publisher","award":["EP\/X032051\/1"],"award-info":[{"award-number":["EP\/X032051\/1"]}],"id":[{"id":"10.13039\/100014013","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2024,2]]},"DOI":"10.1109\/tit.2023.3338292","type":"journal-article","created":{"date-parts":[[2023,12,4]],"date-time":"2023-12-04T18:50:22Z","timestamp":1701715822000},"page":"803-819","source":"Crossref","is-referenced-by-count":3,"title":["Sum-of-Squares Proofs of Logarithmic Sobolev Inequalities on Finite Markov Chains"],"prefix":"10.1109","volume":"70","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3359-1949","authenticated-orcid":false,"given":"Ois\u00edn","family":"Faust","sequence":"first","affiliation":[{"name":"Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, U.K."}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6026-4102","authenticated-orcid":false,"given":"Hamza","family":"Fawzi","sequence":"additional","affiliation":[{"name":"Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, U.K."}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1214\/aoap\/1034968224"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1561\/0400000003"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620260"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2549542"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1007\/bfb0092621"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.5802\/afst.1183"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/S1052623400366802"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-003-0387-5"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT50566.2022.9834406"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1145\/2213977.2214006"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.19086\/da.612"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.2307\/2373688"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-00227-9"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144503423264"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1137\/S0036144504443821"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1007\/BF01070233"},{"key":"ref17","article-title":"Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization","author":"Parrilo","year":"2000"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1007\/BF02592948"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781107447226.003"},{"issue":"3","key":"ref20","doi-asserted-by":"crossref","first-page":"969","DOI":"10.1512\/iumj.1993.42.42045","article-title":"Positive polynomials on compact semi-algebraic sets","volume":"42","author":"Putinar","year":"1993","journal-title":"Indiana Univ. Math. J."},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s00209-003-0568-1"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.5802\/afst.1131"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-013-0680-x"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/BF02572604"},{"key":"ref25","article-title":"Convergence of SDP hierarchies for polynomial optimization on the hypersphere","author":"Doherty","year":"2012","journal-title":"arXiv:1210.5048"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s10107-020-01537-7"},{"key":"ref27","article-title":"Semidefinite programming lower bounds on the squashed entanglement","author":"Fawzi","year":"2022","journal-title":"arXiv:2203.03394"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2008.09.025"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1090\/surv\/089"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1007\/s10959-006-0016-3"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176995937"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-7005-6_7"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620288"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2014.6875389"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2015.7282881"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.4171\/msl\/10"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2021.3130189"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-1236(03)00048-X"},{"key":"ref39","volume-title":"SageMath, the Sage Mathematics Software System (Version 9.2)","year":"2020"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2003.12.011"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1137\/141000671"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1137\/15M1020575"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/10411830\/10339405.pdf?arnumber=10339405","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,1]],"date-time":"2024-02-01T02:30:48Z","timestamp":1706754648000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10339405\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,2]]},"references-count":42,"journal-issue":{"issue":"2"},"URL":"https:\/\/doi.org\/10.1109\/tit.2023.3338292","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,2]]}}}