{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,24]],"date-time":"2026-01-24T14:58:59Z","timestamp":1769266739950,"version":"3.49.0"},"reference-count":46,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"1","license":[{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2025,1,1]],"date-time":"2025-01-01T00:00:00Z","timestamp":1735689600000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"}],"funder":[{"name":"University of Hong Kong (HKU) Seed Fund for Basic Research for New Staff","award":["2201100596"],"award-info":[{"award-number":["2201100596"]}]},{"name":"Guangdong Natural Science Fund","award":["2023A1515012185"],"award-info":[{"award-number":["2023A1515012185"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["12305030"],"award-info":[{"award-number":["12305030"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["12347104"],"award-info":[{"award-number":["12347104"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Hong Kong Research Grant Council","award":["27300823"],"award-info":[{"award-number":["27300823"]}]},{"name":"Hong Kong Research Grant Council","award":["N_HKU718\/23"],"award-info":[{"award-number":["N_HKU718\/23"]}]},{"name":"Hong Kong Research Grant Council","award":["R6010-23"],"award-info":[{"award-number":["R6010-23"]}]},{"name":"Guangdong Provincial Quantum Science Strategic Initiative","award":["GDZX2200001"],"award-info":[{"award-number":["GDZX2200001"]}]},{"name":"Innovation Program for Quantum Science and Technology","award":["2021ZD0302902"],"award-info":[{"award-number":["2021ZD0302902"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12171452"],"award-info":[{"award-number":["12171452"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12231014"],"award-info":[{"award-number":["12231014"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Key Research and Development Programs of China","doi-asserted-by":"publisher","award":["2023YFA1010200"],"award-info":[{"award-number":["2023YFA1010200"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Key Research and Development Programs of China","doi-asserted-by":"publisher","award":["2020YFA0713100"],"award-info":[{"award-number":["2020YFA0713100"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Inform. Theory"],"published-print":{"date-parts":[[2025,1]]},"DOI":"10.1109\/tit.2024.3481042","type":"journal-article","created":{"date-parts":[[2024,10,15]],"date-time":"2024-10-15T17:21:20Z","timestamp":1729012880000},"page":"413-425","source":"Crossref","is-referenced-by-count":3,"title":["Bounds on <i>k<\/i>-Uniform Quantum States"],"prefix":"10.1109","volume":"71","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6650-6712","authenticated-orcid":false,"given":"Fei","family":"Shi","sequence":"first","affiliation":[{"name":"Department of Computer Science, School of Computing and Data Science, The University of Hong Kong, Hong Kong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1682-3592","authenticated-orcid":false,"given":"Yu","family":"Ning","sequence":"additional","affiliation":[{"name":"Hefei National Laboratory, Hefei, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8091-0682","authenticated-orcid":false,"given":"Qi","family":"Zhao","sequence":"additional","affiliation":[{"name":"Department of Computer Science, School of Computing and Data Science, The University of Hong Kong, Hong Kong, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4234-3610","authenticated-orcid":false,"given":"Xiande","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.77.198"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.55.900"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.67.661"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.74.145"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.68.3121"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.1895"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1038\/37539"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.69.052330"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2017.2700866"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.104.032601"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.90.022316"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.99.042332"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1142\/S0219749919500035"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1038\/s41534-019-0165-8"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.92.032316"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.97.062326"},{"key":"ref17","article-title":"Absolutely maximally entangled qudit graph states","author":"Helwig","year":"2013","journal-title":"arXiv:1306.2879"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.86.052335"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP06(2015)149"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1109\/18.796376"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.118.200502"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1103\/PRXQuantum.3.010101"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.128.080507"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/aaade5"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.94.012346"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-021-03034-y"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1007\/s11128-021-03040-0"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2022.3147810"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2023.3282221"},{"key":"ref30","volume-title":"Fastzeil: The Paule\/Schorn Implementation of Gosper\u2019s and Zeilberger\u2019s Algorithms","author":"Peter","year":"2020"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1017\/cbo9780511976667"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/18.782103"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/41\/23\/235303"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.78.1600"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/18.681316"},{"key":"ref36","volume-title":"Self-Dual Codes and Invariant Theory","volume":"17","author":"Nebe","year":"2006"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/18.817508"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/18.651000"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(73)90273-8"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1109\/18.59931"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1972.1054898"},{"key":"ref42","volume-title":"The Theory of Error-Correcting Codes","volume":"16","author":"MacWilliams","year":"1977"},{"key":"ref43","volume-title":"Bounds on the Minimum Distance of Linear Codes and Quantum Codes","author":"Grassl","year":"2007"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.114.140402"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1201\/9780429428883"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1017\/cbo9780511608759"}],"container-title":["IEEE Transactions on Information Theory"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx8\/18\/10816277\/10718358.pdf?arnumber=10718358","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,12,26]],"date-time":"2024-12-26T19:08:33Z","timestamp":1735240113000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10718358\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,1]]},"references-count":46,"journal-issue":{"issue":"1"},"URL":"https:\/\/doi.org\/10.1109\/tit.2024.3481042","relation":{},"ISSN":["0018-9448","1557-9654"],"issn-type":[{"value":"0018-9448","type":"print"},{"value":"1557-9654","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,1]]}}}