{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,28]],"date-time":"2025-08-28T12:43:59Z","timestamp":1756385039053,"version":"3.37.3"},"reference-count":74,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2014,12,1]],"date-time":"2014-12-01T00:00:00Z","timestamp":1417392000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100000781","name":"European Research Council","doi-asserted-by":"publisher","award":["258932"],"award-info":[{"award-number":["258932"]}],"id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]},{"name":"German Science Foundation","award":["CH 843\/2-1"],"award-info":[{"award-number":["CH 843\/2-1"]}]},{"DOI":"10.13039\/501100001711","name":"Swiss National Science Foundation","doi-asserted-by":"crossref","award":["200020_135048","PP00P2_128455","20CH21_138799"],"award-info":[{"award-number":["200020_135048","PP00P2_128455","20CH21_138799"]}],"id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"crossref"}]},{"name":"National Center of Competence in Research through the Quantum Science and Technology"},{"name":"Isaac Newton Institute for Mathematical Sciences"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2014,12]]},"DOI":"10.1109\/tit.2014.2365174","type":"journal-article","created":{"date-parts":[[2014,10,28]],"date-time":"2014-10-28T19:04:49Z","timestamp":1414523089000},"page":"8007-8023","source":"Crossref","is-referenced-by-count":7,"title":["Lower Bounds for Quantum Parameter Estimation"],"prefix":"10.1109","volume":"60","author":[{"given":"Michael","family":"Walter","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2302-8025","authenticated-orcid":false,"given":"Joseph M.","family":"Renes","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2236382"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1007\/BF01844447"},{"journal-title":"Convex Analysis","year":"1972","author":"rockafellar","key":"ref71"},{"journal-title":"Functional Analysis","year":"1991","author":"rudin","key":"ref70"},{"journal-title":"The Classical Groups Their Invariants and Representations","year":"1946","author":"weyl","key":"ref74"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1038\/ncomms1220"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.75.022326"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-011-1239-4"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.72.042338"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.93.180503"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.70.062105"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.70.042310"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.80.012307"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.77.032114"},{"article-title":"Fourier analytic approach to quantum estimation of group action","year":"2012","author":"hayashi","key":"ref34"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.77.053613"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.98.090401"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1038\/nature09778"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1142\/S0129055X06002565"},{"key":"ref28","first-page":"13","article-title":"The ultimate quantum limits on the accuracy of measurements","author":"yuen","year":"1992","journal-title":"Proc Workshop Squeezed States Uncertainty Rel"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.64.052311"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2238657"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-79852-3"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcta.2004.04.003"},{"journal-title":"Probabilistic and Statistical Aspects of Quantum Theory","year":"1982","author":"holevo","key":"ref29"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/31\/20\/006"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-6188-9"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4471-3903-4"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1016\/0034-4877(78)90065-4"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01809715"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevX.2.041006"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1969.1054301"},{"journal-title":"Testing Statistical Hypotheses","year":"2005","author":"lehmann","key":"ref21"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.108.200501"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.108.230401"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1142\/9789814449243_0008"},{"key":"ref25","doi-asserted-by":"crossref","first-page":"7693","DOI":"10.1109\/TIT.2013.2276628","article-title":"A hierarchy of information quantities for finite block length analysis of quantum tasks","volume":"59","author":"hayashi","year":"2013","journal-title":"IEEE Trans Inf Theory"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.39.1.42"},{"journal-title":"Representation Theory a First Course","year":"1991","author":"fulton","key":"ref51"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.76.053617"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.100.220501"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.72.045801"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2004.06.080"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.108.260405"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-010-1005-z"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511755156"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139172882"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177732585"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-009-0787-3"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.2478\/qmetro-2014-0003"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.105.150401"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/12\/4\/043034"},{"key":"ref14","doi-asserted-by":"crossref","DOI":"10.2172\/1159070","article-title":"Paranoid tomography: Confidence regions for quantum states","author":"blume-kohout","year":"2012"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.109.120403"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1214\/13-AOS1147"},{"key":"ref17","doi-asserted-by":"crossref","DOI":"10.1007\/b98673","author":"paris","year":"2004","journal-title":"Quantum State Estimation"},{"article-title":"An analysis of the stationary operation of atomic clocks","year":"2013","author":"fraas","key":"ref18"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.99.070801"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.010401"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1063\/1.527184"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.72.3439"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1126\/science.1104149"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.75.2944"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1016\/0030-4018(90)90464-5"},{"journal-title":"A Course in Convexity","year":"2002","author":"barvinok","key":"ref49"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.85.5098"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2043769"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-57997-4"},{"article-title":"Fundamental limits on the accuracy of optical phase estimation from rate-distortion theory","year":"2012","author":"nair","key":"ref48"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-44929-9_3"},{"journal-title":"Real Analysis Modern Techniques and Their Applications","year":"1999","author":"folland","key":"ref42"},{"journal-title":"Lecture Notes on &#x2018;Measurability and Continuity&#x2019;","year":"2012","author":"tsirelson","key":"ref41"},{"article-title":"Continuous variable uncertainty relations in the presence of quantum memory","year":"2013","author":"berta","key":"ref44"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.363"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/6960944\/06937138.pdf?arnumber=6937138","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:00:43Z","timestamp":1642003243000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/6937138\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,12]]},"references-count":74,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tit.2014.2365174","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2014,12]]}}}