{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,10]],"date-time":"2025-04-10T05:01:06Z","timestamp":1744261266000,"version":"3.37.3"},"reference-count":65,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"12","license":[{"start":{"date-parts":[[2016,12,1]],"date-time":"2016-12-01T00:00:00Z","timestamp":1480550400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100000780","name":"EU (AQuS, RAQUEL)","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000780","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002347","name":"BMBF (Q.com)","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100002347","id-type":"DOI","asserted-by":"publisher"}]},{"name":"DFG","award":["EI 519\/9-1 (SPP1798 CoSIP)","CRC183"],"award-info":[{"award-number":["EI 519\/9-1 (SPP1798 CoSIP)","CRC183"]}]},{"DOI":"10.13039\/501100000781","name":"ERC (TAQ)","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000925","name":"Templeton Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000925","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Excellence Initiative of the German Federal and State Governments","award":["ZUK 43","ZUK 81"],"award-info":[{"award-number":["ZUK 43","ZUK 81"]}]},{"DOI":"10.13039\/100000183","name":"ARO (Quantum Characterization, Verification, and Validation)","doi-asserted-by":"publisher","award":["W911NF-14-1-0098"],"award-info":[{"award-number":["W911NF-14-1-0098"]}],"id":[{"id":"10.13039\/100000183","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001659","name":"DFG","doi-asserted-by":"publisher","award":["SPP1798CoSIP"],"award-info":[{"award-number":["SPP1798CoSIP"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]},{"name":"State Graduate Funding Program of Baden-W\u00fcrttemberg"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2016,12]]},"DOI":"10.1109\/tit.2016.2606500","type":"journal-article","created":{"date-parts":[[2016,9,7]],"date-time":"2016-09-07T18:41:21Z","timestamp":1473273681000},"page":"7445-7463","source":"Crossref","is-referenced-by-count":14,"title":["Improving Compressed Sensing With the Diamond Norm"],"prefix":"10.1109","volume":"62","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8009-0549","authenticated-orcid":false,"given":"Martin","family":"Kliesch","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Richard","family":"Kueng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jens","family":"Eisert","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"David","family":"Gross","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/054"},{"article-title":"Tensor theta norms and low rank recovery","year":"2015","author":"rauhut","key":"ref38"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1137\/12089939X"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1002\/cpa.21432"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-013-9162-z"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1137\/110848074"},{"key":"ref37","first-page":"4638","article-title":"On a reverse $l_{2}$ -inequality for sparse circular convolutions","author":"walk","year":"2013","journal-title":"Proc IEEE Int Conf Acoust Speech Signal Process"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2015.05.004"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1007\/s00041-014-9361-2"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2014.09.004"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1063\/1.2716992"},{"article-title":"The Clifford group forms a unitary 3-design","year":"2015","author":"webb","key":"ref62"},{"article-title":"Multiqubit Clifford groups are unitary 3-designs","year":"2015","author":"zhu","key":"ref61"},{"journal-title":"CS 766 Theory of Quantum Information","year":"2011","author":"watrous","key":"ref63"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/SAMPTA.2015.7148921"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.116.237201"},{"article-title":"Quantum tomography from few full-rank observables","year":"2013","author":"voroninski","key":"ref27"},{"journal-title":"Tensors Geometry and Applications","year":"2012","author":"landsberg","key":"ref65"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1080\/713817747"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.105.150401"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/MC.2009.263"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1093\/imrn\/rnv096"},{"journal-title":"Completely Bounded Maps and Operator Algebras","year":"2002","author":"paulsen","key":"ref22"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1090\/gsm\/047"},{"key":"ref24","first-page":"77","article-title":"On the complexity of approximating the diamond norm","volume":"10","author":"ben-aroya","year":"2010","journal-title":"Quantum Inf Comput"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.4086\/toc.2009.v005a011"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.106.100401"},{"article-title":"Simpler semidefinite programs for completely bounded norms","year":"2012","author":"watrous","key":"ref25"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1016\/0034-4877(72)90011-0"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1088\/0266-5611\/31\/11\/115002"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.80.012304"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/16\/10\/103032"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.77.062112"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/17\/1\/013042"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1088\/1464-4266\/7\/10\/021"},{"article-title":"Quantum compressed sensing using 2-designs","year":"2015","author":"kimmel","key":"ref54"},{"article-title":"Comparing experiments to the fault-tolerance threshold","year":"2015","author":"kueng","key":"ref53"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511976667"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-009-9045-5"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2044061"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1007\/s10208-012-9135-7"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1137\/070697835"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2104999"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2111771"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2294644"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1016\/j.acha.2015.07.007"},{"article-title":"Stable low-rank matrix recovery via null space properties","year":"2015","author":"kabanava","key":"ref17"},{"article-title":"Convex recovery of a structured signal from independent random linear measurements","year":"2014","author":"tropp","key":"ref18"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1145\/2699439"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1214\/009053607000000758"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/14\/9\/095022"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TPAMI.2003.1177153"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2429594"},{"key":"ref8","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-8176-4948-7","author":"foucart","year":"2013","journal-title":"A Mathematical Introduction to Compressive Sensing"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1137\/S0097539792240406"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1016\/0024-3795(75)90075-0"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/ACC.2001.945730"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1007\/BF03187604"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/SAMPTA.2015.7148917"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1109\/CCC.2007.26"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1063\/1.1737053"},{"journal-title":"CVX Matlab Software for Disciplined Convex Programming Version 2 1","year":"2014","author":"grant","key":"ref42"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/SAMPTA.2015.7148918"},{"key":"ref43","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1007\/978-1-84800-155-8_7","article-title":"Graph implementations for nonsmooth convex programs","author":"grant","year":"2008","journal-title":"Recent Advances in Learning and Control"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/7748579\/07562508.pdf?arnumber=7562508","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:20:46Z","timestamp":1642004446000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7562508\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,12]]},"references-count":65,"journal-issue":{"issue":"12"},"URL":"https:\/\/doi.org\/10.1109\/tit.2016.2606500","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"type":"print","value":"0018-9448"},{"type":"electronic","value":"1557-9654"}],"subject":[],"published":{"date-parts":[[2016,12]]}}}