{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,4]],"date-time":"2026-04-04T06:03:56Z","timestamp":1775282636308,"version":"3.50.1"},"reference-count":106,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[2024,8,1]],"date-time":"2024-08-01T00:00:00Z","timestamp":1722470400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/legalcode"}],"funder":[{"name":"Ministry of Education, Culture, Sports, Science and Technology (MEXT) Quantum Leap Flagship Program","award":["JPMXS0120319794"],"award-info":[{"award-number":["JPMXS0120319794"]}]},{"DOI":"10.13039\/501100002367","name":"Youth Innovation Promotion Association, Chinese Academy of Sciences","doi-asserted-by":"publisher","award":["2023116"],"award-info":[{"award-number":["2023116"]}],"id":[{"id":"10.13039\/501100002367","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Research Program of the Chinese Academy of Sciences","award":["ZDRW-XX-2022-1"],"award-info":[{"award-number":["ZDRW-XX-2022-1"]}]},{"name":"Sydney Quantum Academy, Sydney, NSW, Australia"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2024,8]]},"DOI":"10.1109\/tit.2024.3399014","type":"journal-article","created":{"date-parts":[[2024,5,13]],"date-time":"2024-05-13T17:25:18Z","timestamp":1715621118000},"page":"5653-5680","source":"Crossref","is-referenced-by-count":26,"title":["New Quantum Algorithms for Computing Quantum Entropies and Distances"],"prefix":"10.1109","volume":"70","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5107-8279","authenticated-orcid":false,"given":"Qisheng","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Computer Science and Technology, Tsinghua University, Beijing, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3490-0029","authenticated-orcid":false,"given":"Ji","family":"Guan","sequence":"additional","affiliation":[{"name":"Key Laboratory of System Software, Chinese Academy of Sciences, Beijing, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5715-4885","authenticated-orcid":false,"given":"Junyi","family":"Liu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7436-0426","authenticated-orcid":false,"given":"Zhicheng","family":"Zhang","sequence":"additional","affiliation":[{"name":"Centre for Quantum Software and Information, University of Technology Sydney, Sydney, NSW, Australia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4847-702X","authenticated-orcid":false,"given":"Mingsheng","family":"Ying","sequence":"additional","affiliation":[{"name":"Centre for Quantum Software and Information, University of Technology Sydney, Sydney, NSW, Australia"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1017\/cbo9780511976667"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-57997-4"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.127.130503"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-021-03196-9"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1145\/3313276.3316344"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/JSAIT.2020.3015235"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevApplied.19.044041"},{"key":"ref8","first-page":"25:1","article-title":"Distributional property testing in a quantum world","volume-title":"Proc. 11th Innov. Theor. Comput. Science Conf.","author":"Gily\u00e9n"},{"key":"ref9","article-title":"Sublinear quantum algorithms for estimating von Neumann entropy","author":"Gur","year":"2021","journal-title":"arXiv:2111.11139"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.104.022428"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2022.3203985"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.22331\/q-2020-03-26-248"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1088\/2058-9565\/ac38ba"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.3.033251"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-021-04180-1"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1145\/2897518.2897544"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1145\/3055399.3055454"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2719044"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1145\/3519935.3519974"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.2002.1181970"},{"issue":"8","key":"ref21","doi-asserted-by":"crossref","first-page":"1","DOI":"10.4086\/cjtcs.2013.008","article-title":"Simpler semidefinite programs for completely bounded norms","volume":"2013","author":"Watrous","year":"2013","journal-title":"Chicago J. Theor. Comput. Sci."},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1145\/3313276.3316366"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1145\/237814.237866"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1137\/S0097539705447311"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2004.53"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.103.150502"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.118.010501"},{"key":"ref28","article-title":"Hamiltonian singular value transformation and inverse block encoding","author":"Lloyd","year":"2021","journal-title":"arXiv:2104.01410"},{"key":"ref29","article-title":"Quantum polar decomposition algorithm","author":"Lloyd","year":"2020","journal-title":"arXiv:2006.00841"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.4.013144"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.22331\/q-2019-07-12-163"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.4230\/LIPIcs.ICALP.2019.99"},{"key":"ref33","first-page":"33:1","article-title":"The power of block-encoded matrix powers: Improved regression techniques via faster Hamiltonian simulation","volume-title":"Proc. 46th Int. Colloq. Automata, Lang., Program.","author":"Chakraborty"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.105.150401"},{"key":"ref35","article-title":"The quantum low-rank approximation problem","author":"Ezzell","year":"2022","journal-title":"arXiv:2203.00811"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/17\/11\/113050"},{"key":"ref37","first-page":"27:1","article-title":"Quantum SDP solvers: Large speed-ups, optimality, and applications to quantum learning","volume-title":"Proc. 46th Int. Colloq. Automata, Lang., Program.","author":"Brand ao"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.128.220502"},{"key":"ref39","article-title":"Improved quantum algorithms for fidelity estimation","author":"Gily\u00e9n","year":"2022","journal-title":"arXiv:2203.15993"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1038\/nphys3029"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1038\/s41534-017-0013-7"},{"key":"ref42","article-title":"A variational quantum algorithm for preparing quantum Gibbs states","author":"Chowdhury","year":"2020","journal-title":"arXiv:2002.00055"},{"issue":"7","key":"ref43","first-page":"1","article-title":"A survey of quantum property testing","author":"Montanaro","year":"2016","journal-title":"Theory of Computing Library"},{"key":"ref44","volume-title":"Mathematische Grundlagen der Quantenmechanik (Mathematical Foundations of Quantum Mechanics)","author":"von Neumann","year":"1932"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1948.tb01338.x"},{"key":"ref46","first-page":"547","article-title":"On measures of entropy and information","volume-title":"Proc. 4th Berkeley Symp. Math. Statist. Probab.","volume":"1","author":"R\u00e9nyi"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2012.0737"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1063\/1.4838856"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-014-2122-x"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1007\/BF01016429"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1063\/1.2771542"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.7153\/mia-18-41"},{"key":"ref53","article-title":"R\u00e9nyi-entropic bounds on quantum communication","author":"van Dam","year":"2002","journal-title":"arXiv:quant-ph\/0204093"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2018325"},{"key":"ref55","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2025545"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1063\/1.2165794"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1007\/s10955-011-0231-x"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.88.217901"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2018.2883306"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.4086\/toc.2020.v016a010"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1080\/09500349414552171"},{"key":"ref62","article-title":"Quantum state testing beyond the polarizing regime and quantum triangular discrimination","author":"Liu","year":"2023","journal-title":"arXiv:2303.01952"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.120.200502"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/305\/05215"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.65.042323"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.26421\/QIC12.11-12-1"},{"key":"ref67","article-title":"Efficient algorithms in quantum query complexity","author":"Kothari","year":"2014"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.114.090502"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2015.54"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.1137\/16M1087072"},{"key":"ref71","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.2000.892113"},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1145\/2432622.2432626"},{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611973402.88"},{"key":"ref74","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.2001.959920"},{"key":"ref75","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2008.928987"},{"key":"ref76","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2016.78"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1145\/1007352.1007414"},{"key":"ref78","doi-asserted-by":"publisher","DOI":"10.1137\/S0097539702403645"},{"key":"ref79","doi-asserted-by":"publisher","DOI":"10.1162\/089976603321780272"},{"key":"ref80","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.833360"},{"key":"ref81","doi-asserted-by":"publisher","DOI":"10.1145\/1993636.1993727"},{"key":"ref82","doi-asserted-by":"publisher","DOI":"10.1109\/FOCS.2011.81"},{"key":"ref83","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2015.2412945"},{"key":"ref84","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2548468"},{"key":"ref85","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2011.2134250"},{"key":"ref86","first-page":"145","article-title":"New results on quantum property testing","volume-title":"Proc. 30th Int. Conf. Found. Softw. Technol. Theor. Comput. Sci.","volume":"8","author":"Chakraborty"},{"key":"ref87","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.2015.0301"},{"key":"ref88","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2024.3393756"},{"key":"ref89","first-page":"11:1","article-title":"Sample efficient identity testing and independence testing of quantum states","volume-title":"Proc. 12th Innov. Theor. Comput. Sci. Conf. (ITCS)","volume":"185","author":"Yu"},{"key":"ref90","doi-asserted-by":"publisher","DOI":"10.1214\/aoms\/1177729694"},{"key":"ref91","article-title":"Quantum amplitude estimation by generalized qubitization","author":"Lu","year":"2023","journal-title":"arXiv:2306.16695"},{"key":"ref92","article-title":"Space-bounded quantum state testing via space-efficient quantum singular value transformation","author":"Le Gall","year":"2023","journal-title":"arXiv:2308.05079"},{"key":"ref93","article-title":"Time-efficient quantum entropy estimator via samplizer","author":"Wang","year":"2024","journal-title":"arXiv:2401.09947"},{"key":"ref94","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2024.3382037"},{"key":"ref95","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.109.032431"},{"key":"ref96","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2023.3321121"},{"key":"ref97","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.108.012409"},{"key":"ref98","doi-asserted-by":"publisher","DOI":"10.1109\/tit.2024.3404927"},{"key":"ref99","article-title":"Quantum algorithms for matrix geometric means","author":"Liu","year":"2024","journal-title":"arXiv:2405.00673"},{"key":"ref100","article-title":"Quantum singular value transformation & its algorithmic applications","author":"Gily\u00e9n","year":"2019"},{"key":"ref101","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.97.012327"},{"key":"ref102","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.87.167902"},{"key":"ref103","article-title":"Quantum generative training using R\u00e9nyi divergences","author":"Kieferova","year":"2021","journal-title":"arXiv:2106.09567"},{"key":"ref104","doi-asserted-by":"publisher","DOI":"10.1007\/BF01456804"},{"key":"ref105","doi-asserted-by":"publisher","DOI":"10.1145\/3313276.3316310"},{"key":"ref106","doi-asserted-by":"publisher","DOI":"10.1145\/3549524"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/18\/10599340\/10530179.pdf?arnumber=10530179","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,19]],"date-time":"2024-07-19T05:52:15Z","timestamp":1721368335000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10530179\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,8]]},"references-count":106,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/tit.2024.3399014","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,8]]}}}