{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T21:03:20Z","timestamp":1774299800962,"version":"3.50.1"},"reference-count":87,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"4","license":[{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"am","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,4,1]],"date-time":"2026-04-01T00:00:00Z","timestamp":1775001600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"DOI":"10.13039\/100006602","name":"Air Force Research Laboratory","doi-asserted-by":"crossref","award":["FA8750- 23-2-0031"],"award-info":[{"award-number":["FA8750- 23-2-0031"]}],"id":[{"id":"10.13039\/100006602","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100018818","name":"NSF","doi-asserted-by":"publisher","award":["2329662"],"award-info":[{"award-number":["2329662"]}],"id":[{"id":"10.13039\/501100018818","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007000","name":"NSF","doi-asserted-by":"publisher","award":["2304816"],"award-info":[{"award-number":["2304816"]}],"id":[{"id":"10.13039\/100007000","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100007000","name":"NSF","doi-asserted-by":"publisher","award":["2329662"],"award-info":[{"award-number":["2329662"]}],"id":[{"id":"10.13039\/100007000","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100006602","name":"Air Force Research Laboratory","doi-asserted-by":"publisher","award":["FA8750-23-2-0031"],"award-info":[{"award-number":["FA8750-23-2-0031"]}],"id":[{"id":"10.13039\/100006602","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100011755","name":"National Research, Development and Innovation Office of Hungary","doi-asserted-by":"publisher","award":["K146380"],"award-info":[{"award-number":["K146380"]}],"id":[{"id":"10.13039\/501100011755","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100011755","name":"National Research, Development and Innovation Office of Hungary","doi-asserted-by":"publisher","award":["151342"],"award-info":[{"award-number":["151342"]}],"id":[{"id":"10.13039\/501100011755","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Ministry of Culture and Innovation and the National Research, Development and Innovation Office within the Quantum Information National Laboratory of Hungary","award":["2022-2.1.1-NL-2022-00004"],"award-info":[{"award-number":["2022-2.1.1-NL-2022-00004"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2026,4]]},"DOI":"10.1109\/tit.2026.3661340","type":"journal-article","created":{"date-parts":[[2026,2,6]],"date-time":"2026-02-06T20:48:05Z","timestamp":1770410885000},"page":"2391-2423","source":"Crossref","is-referenced-by-count":0,"title":["Barycentric Bounds on the Error Exponents of Quantum Hypothesis Exclusion"],"prefix":"10.1109","volume":"72","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7105-6157","authenticated-orcid":false,"given":"Kaiyuan","family":"Ji","sequence":"first","affiliation":[{"name":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9823-9025","authenticated-orcid":false,"given":"Hemant K.","family":"Mishra","sequence":"additional","affiliation":[{"name":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5973-5533","authenticated-orcid":false,"given":"Mil\u00e1n","family":"Mosonyi","sequence":"additional","affiliation":[{"name":"HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3916-4462","authenticated-orcid":false,"given":"Mark M.","family":"Wilde","sequence":"additional","affiliation":[{"name":"School of Electrical and Computer Engineering, Cornell University, Ithaca, NY, USA"}]}],"member":"263","reference":[{"key":"ref1","volume-title":"Quantum Information Theory","author":"Wilde","year":"2017"},{"key":"ref2","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-49725-8","volume-title":"Quantum Information Theory: Mathematical Foundation (Graduate Texts in Physics)","author":"Hayashi","year":"2017"},{"key":"ref3","doi-asserted-by":"crossref","DOI":"10.1017\/9781316848142","volume-title":"The Theory of Quantum Information","author":"Watrous","year":"2018"},{"key":"ref4","article-title":"Principles of quantum communication theory: A modern approach","author":"Khatri","year":"2020","journal-title":"arXiv:2011.04672"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.89.022336"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.65.032315"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.66.062111"},{"issue":"6","key":"ref8","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1038\/nphys2309","article-title":"On the reality of the quantum state","volume":"8","author":"Pusey","year":"2012","journal-title":"Nature Phys."},{"key":"ref9","doi-asserted-by":"crossref","first-page":"67","DOI":"10.12743\/quanta.v3i1.22","article-title":"Is the quantum state real? An extended review of \u03c8-ontology theorems","volume":"3","author":"Leifer","year":"2014","journal-title":"Quanta"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.112.250403"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/aad1fc"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1103\/physrevresearch.2.013256"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.107.l030202"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.22331\/q-2025-02-04-1622"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.101.062113"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1103\/physrevresearch.2.013326"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.113.040502"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1103\/prxquantum.2.010335"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.125.110401"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.125.110402"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s11005-024-01821-z"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/j.laa.2024.06.005","article-title":"Geometric relative entropies and barycentric R\u00e9nyi divergences","volume":"699","author":"Mosonyi","year":"2024","journal-title":"Linear Algebra Appl."},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.81.032339"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s11005-020-01297-7"},{"issue":"8","key":"ref25","doi-asserted-by":"crossref","first-page":"3807","DOI":"10.1109\/TIT.2009.2023726","article-title":"Discrimination of two channels by adaptive methods and its application to quantum system","volume":"55","author":"Hayashi","year":"2009","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.102.032416"},{"key":"ref27","first-page":"1327","article-title":"Arimoto channel coding converse and R\u00e9nyi divergence","volume-title":"Proc. 48th Annu. Allerton Conf. Commun., Control, Comput","author":"Polyanskiy"},{"key":"ref28","article-title":"On the strong converses for the quantum channel capacity theorems","author":"Sharma","year":"2012","journal-title":"arXiv:1205.1712"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-014-2122-x"},{"issue":"12","key":"ref30","doi-asserted-by":"crossref","DOI":"10.1063\/1.4838856","article-title":"On quantum R\u00e9nyi entropies: A new generalization and some properties","volume":"54","author":"M\u00fcller-Lennert","year":"2013","journal-title":"J. Math. Phys."},{"issue":"12","key":"ref31","doi-asserted-by":"crossref","DOI":"10.1063\/1.4838855","article-title":"Sandwiched R\u00e9nyi divergence satisfies data processing inequality","volume":"54","author":"Beigi","year":"2013","journal-title":"J. Math. Phys."},{"key":"ref32","doi-asserted-by":"crossref","DOI":"10.1063\/1.4838835","article-title":"Monotonicity of a relative R\u00e9nyi entropy","volume":"54","author":"Frank","year":"2013","journal-title":"J. Math. Phys."},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-014-2248-x"},{"key":"ref34","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-21891-5","volume-title":"Quantum Information Processing With Finite Resources: Mathematical Foundations","volume":"5","author":"Tomamichel","year":"2016"},{"issue":"2","key":"ref35","doi-asserted-by":"crossref","first-page":"1","DOI":"10.2996\/kmj\/1138844604","article-title":"Conditional expectation in an operator algebra. IV. Entropy and information","volume":"14","author":"Umegaki","year":"1962","journal-title":"Kodai Math. J."},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-13-2487-1_10"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1142\/s0219025798000077"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-021-04064-4"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-021-02992-7"},{"key":"ref40","first-page":"51","article-title":"C*-algebraic generalization of relative entropy and entropy","volume":"37","author":"Belavkin","year":"1982","journal-title":"Annales de l\u2019I.H.P. Phys. Th\u00e9orique"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.97.012332"},{"issue":"5","key":"ref42","doi-asserted-by":"crossref","first-page":"3034","DOI":"10.1109\/TIT.2022.3233924","article-title":"Bounding the forward classical capacity of bipartite quantum channels","volume":"69","author":"Ding","year":"2023","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"3","key":"ref43","doi-asserted-by":"crossref","first-page":"1668","DOI":"10.1109\/TIT.2020.3041205","article-title":"Divergence radii and the strong converse exponent of classical-quantum channel coding with constant compositions","volume":"67","author":"Mosonyi","year":"2021","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref44","doi-asserted-by":"crossref","DOI":"10.1063\/1.4906367","article-title":"\u03b1-z-R\u00e9nyi relative entropies","volume":"56","author":"Audenaert","year":"2015","journal-title":"J. Math. Phys."},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-017-2928-4"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/adc645"},{"issue":"1","key":"ref47","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/0022-1236(84)90025-9","article-title":"Applications of the complex interpolation method to a Von Neumann algebra: Non-commutative Lp-spaces","volume":"56","author":"Kosaki","year":"1984","journal-title":"J. Funct. Anal."},{"issue":"6","key":"ref48","doi-asserted-by":"crossref","first-page":"2816","DOI":"10.1109\/TIT.2009.2018325","article-title":"Min- and max-relative entropies and a new entanglement monotone","volume":"55","author":"Datta","year":"2009","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"3","key":"ref49","doi-asserted-by":"crossref","first-page":"1447","DOI":"10.1109\/TIT.2009.2039166","article-title":"The quantum capacity of channels with arbitrarily correlated noise","volume":"56","author":"Buscemi","year":"2010","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.108.200501"},{"key":"ref51","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-016-2645-4"},{"key":"ref52","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.98.160501"},{"issue":"2","key":"ref53","doi-asserted-by":"crossref","first-page":"1040","DOI":"10.1214\/08-AOS593","article-title":"The Chernoff lower bound for symmetric quantum hypothesis testing","volume":"37","author":"Nussbaum","year":"2009","journal-title":"Ann. Statist."},{"issue":"2","key":"ref54","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1109\/TIT.1975.1055351","article-title":"Optimum testing of multiple hypotheses in quantum detection theory","volume":"I","author":"Yuen","year":"1975","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref55","first-page":"2854","article-title":"Multiple quantum hypothesis testing expressions and classical-quantum channel converse bounds","volume-title":"Proc. IEEE Int. Symp. Inf. Theory (ISIT)","author":"Vazquez-Vilar"},{"issue":"9","key":"ref56","doi-asserted-by":"crossref","first-page":"4337","DOI":"10.1109\/TIT.2009.2025545","article-title":"The operational meaning of min- and max-entropy","volume":"55","author":"Konig","year":"2009","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"7","key":"ref57","doi-asserted-by":"crossref","DOI":"10.1063\/1.3167288","article-title":"Generalized relative entropies and the capacity of classical-quantum channels","volume":"50","author":"Mosonyi","year":"2009","journal-title":"J. Math. Phys."},{"issue":"1","key":"ref58","doi-asserted-by":"crossref","first-page":"171","DOI":"10.2140\/pjm.1958.8.171","article-title":"On general minimax theorems","volume":"8","author":"Sion","year":"1958","journal-title":"Pacific J. Math."},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.2977\/prims\/1195178929"},{"issue":"1","key":"ref60","first-page":"57","article-title":"Quasi-entropies for finite quantum systems","volume-title":"Rep. Math. Phys.","volume":"23","author":"Petz","year":"1986"},{"issue":"4","key":"ref61","doi-asserted-by":"crossref","first-page":"2474","DOI":"10.1109\/TIT.2011.2110050","article-title":"On the quantum R\u00e9nyi relative entropies and related capacity formulas","volume":"57","author":"Mosonyi","year":"2011","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref62","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511804441","volume-title":"Convex Optimization","author":"Boyd","year":"2004"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1080\/03081089408818297"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1103\/prxquantum.5.020354"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1145\/1250790.1250873"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.101.180501"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.101.060401"},{"key":"ref68","doi-asserted-by":"publisher","DOI":"10.1103\/physreva.88.022318"},{"key":"ref69","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.127.200504"},{"key":"ref70","doi-asserted-by":"publisher","DOI":"10.22331\/q-2021-01-26-387"},{"key":"ref71","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1016\/j.laa.2016.10.012","article-title":"Lieb\u2019s concavity theorem, matrix geometric means, and semidefinite optimization","volume":"513","author":"Fawzi","year":"2017","journal-title":"Linear Algebra Appl."},{"key":"ref72","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-005-1426-2"},{"key":"ref73","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-010-1005-z"},{"issue":"4","key":"ref74","doi-asserted-by":"crossref","first-page":"1661","DOI":"10.1214\/16-AOS1436","article-title":"Discriminating quantum states: The multiple Chernoff distance","volume":"44","author":"Li","year":"2016","journal-title":"Ann. Statist."},{"issue":"8","key":"ref75","doi-asserted-by":"crossref","first-page":"5037","DOI":"10.1109\/TIT.2020.2979704","article-title":"Adversarial hypothesis testing and a quantum Stein\u2019s lemma for restricted measurements","volume":"66","author":"Brand\u00e3o","year":"2020","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"2","key":"ref76","doi-asserted-by":"crossref","first-page":"1057","DOI":"10.1109\/TIT.2022.3214465","article-title":"Equivariant relative submajorization","volume":"69","author":"Bunth","year":"2023","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref77","doi-asserted-by":"publisher","DOI":"10.1038\/s41567-025-03047-9"},{"issue":"6","key":"ref78","doi-asserted-by":"crossref","first-page":"4454","DOI":"10.1109\/TIT.2025.3543610","article-title":"A solution of the generalized quantum Stein\u2019s lemma","volume":"71","author":"Lami","year":"2025","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"4","key":"ref79","doi-asserted-by":"crossref","DOI":"10.1063\/5.0125505","article-title":"Monotonic multi-state quantum f-divergences","volume":"64","author":"Furuya","year":"2023","journal-title":"J. Math. Phys."},{"issue":"10","key":"ref80","doi-asserted-by":"crossref","DOI":"10.1063\/1.4898559","article-title":"Upper bounds on the error probabilities and asymptotic error exponents in quantum multiple state discrimination","volume":"55","author":"Audenaert","year":"2014","journal-title":"J. Math. Phys."},{"issue":"12","key":"ref81","doi-asserted-by":"crossref","first-page":"5840","DOI":"10.1109\/TIT.2009.2032797","article-title":"A fully quantum asymptotic equipartition property","volume":"55","author":"Tomamichel","year":"2009","journal-title":"IEEE Trans. Inf. Theory"},{"issue":"3","key":"ref82","doi-asserted-by":"crossref","first-page":"964","DOI":"10.1109\/TIT.2007.915715","article-title":"Lautum information","volume":"54","author":"Palomar","year":"2008","journal-title":"IEEE Trans. Inf. Theory"},{"key":"ref83","doi-asserted-by":"crossref","DOI":"10.1063\/1.4964755","article-title":"Correlation detection and an operational interpretation of the R\u00e9nyi mutual information","volume":"57","author":"Hayashi","year":"2016","journal-title":"J. Math. Phys."},{"key":"ref84","doi-asserted-by":"publisher","DOI":"10.1103\/physrevlett.110.080501"},{"key":"ref85","doi-asserted-by":"publisher","DOI":"10.22331\/q-2018-10-19-100"},{"issue":"1","key":"ref86","doi-asserted-by":"crossref","first-page":"4411","DOI":"10.1038\/s41467-021-24699-0","article-title":"Fundamental limitations on distillation of quantum channel resources","volume":"12","author":"Regula","year":"2021","journal-title":"Nature Commun."},{"issue":"5","key":"ref87","doi-asserted-by":"crossref","first-page":"3453","DOI":"10.1109\/TIT.2023.3299870","article-title":"Postselected quantum hypothesis testing","volume":"70","author":"Regula","year":"2024","journal-title":"IEEE Trans. Inf. Theory"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"https:\/\/ieeexplore.ieee.org\/ielam\/18\/11448285\/11373084-aam.pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/18\/11448285\/11373084.pdf?arnumber=11373084","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T20:06:31Z","timestamp":1774296391000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/11373084\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,4]]},"references-count":87,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.1109\/tit.2026.3661340","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,4]]}}}