{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T17:23:42Z","timestamp":1778693022905,"version":"3.51.4"},"reference-count":49,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/legalcode"}],"funder":[{"DOI":"10.13039\/501100000266","name":"EPSRC","doi-asserted-by":"publisher","award":["EP\/L018659\/1"],"award-info":[{"award-number":["EP\/L018659\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000781","name":"European Research Council\u2019s Advanced Fellow Grant","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000781","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000288","name":"Royal Society\u2019s Wolfson Research Merit Award","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000288","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2018]]},"DOI":"10.1109\/access.2017.2784417","type":"journal-article","created":{"date-parts":[[2017,12,18]],"date-time":"2017-12-18T20:12:10Z","timestamp":1513627930000},"page":"13729-13757","source":"Crossref","is-referenced-by-count":23,"title":["Quantum Topological Error Correction Codes: The Classical-to-Quantum Isomorphism Perspective"],"prefix":"10.1109","volume":"6","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2406-7229","authenticated-orcid":false,"given":"Daryus","family":"Chandra","sequence":"first","affiliation":[{"name":"School of Electronics and Computer Science, University of Southampton, Southampton, U.K."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zunaira","family":"Babar","sequence":"additional","affiliation":[{"name":"School of Electronics and Computer Science, University of Southampton, Southampton, U.K."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6349-1044","authenticated-orcid":false,"given":"Hung Viet","family":"Nguyen","sequence":"additional","affiliation":[{"name":"School of Electronics and Computer Science, University of Southampton, Southampton, U.K."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6654-1702","authenticated-orcid":false,"given":"Dimitrios","family":"Alanis","sequence":"additional","affiliation":[{"name":"School of Electronics and Computer Science, University of Southampton, Southampton, U.K."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Panagiotis","family":"Botsinis","sequence":"additional","affiliation":[{"name":"School of Electronics and Computer Science, University of Southampton, Southampton, U.K."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Soon Xin","family":"Ng","sequence":"additional","affiliation":[{"name":"School of Electronics and Computer Science, University of Southampton, Southampton, U.K."}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2636-5214","authenticated-orcid":false,"given":"Lajos","family":"Hanzo","sequence":"additional","affiliation":[{"name":"School of Electronics and Computer Science, University of Southampton, Southampton, U.K."}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/18.910572"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2017.2716367"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1145\/2591796.2591870"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2013.6620360"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/14\/12\/123011"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2292061"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1952.tb01393.x"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1950.tb00463.x"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1981.1056404"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1002\/9780470978481"},{"key":"ref28","first-page":"799","article-title":"Quantum LDPC codes with positive rate and minimum distance proportional to \n$\\text{n}^{ {\\scriptstyle {}^{\\scriptstyle 1}}\\mkern -4mu\/\\mkern -2mu{\\scriptstyle 2}}$","author":"tillich","year":"2009","journal-title":"Proc IEEE Int Symp Inf Theory (ISIT)"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2013.2261116"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2012.6284206"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1098\/rspa.1998.0167"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/SFCS.1996.548464"},{"key":"ref20","year":"2017","journal-title":"The IBM Quantum Experience"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1070\/RM1997v052n06ABEH002155"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1063\/1.2731356"},{"key":"ref24","author":"bravyi","year":"1998","journal-title":"Quantum Codes on A Lattice with Boundary"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/S0003-4916(02)00018-0"},{"key":"ref26","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1007\/978-3-642-01877-0_21","article-title":"On Cayley graphs, surface codes, and the limits of homological coding for quantum error correction","author":"z\u00e9mor","year":"2009","journal-title":"Coding and Cryptology"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.97.180501"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2018339"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2015.2405533"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1017\/S0305004100021162"},{"key":"ref12","author":"postol","year":"2001","journal-title":"A Proposed Quantum Low Density Parity Check Code"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.834737"},{"key":"ref14","author":"camara","year":"2005","journal-title":"Constructions and performance of classes of quantum LDPC codes"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/ISIT.2007.4557324"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2015.2503267"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.52.R2493"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.77.793"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.77.198"},{"key":"ref4","article-title":"Stabilizer codes and quantum error correction","author":"gottesman","year":"1997"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1002\/1521-3978(200009)48:9\/11<771::AID-PROP771>3.0.CO;2-E"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/18.681315"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.78.405"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1007\/3-540-46796-3_23","article-title":"Quantum Reed&#x2013;Solomon codes","author":"grassl","year":"1999","journal-title":"Applied Algebra Algebraic Algorithms and Error-Correcting Codes"},{"key":"ref7","first-page":"207","article-title":"Quantum BCH codes","author":"grassl","year":"1999","journal-title":"Proc Int Symp on Theoretical Electrical Eng"},{"key":"ref49","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.55.900"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.177902"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.54.3824"},{"key":"ref45","author":"steele","year":"1999","journal-title":"Mobile Radio Communications Second and Third Generation Cellular and WATM Systems"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.51.2738"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1080\/09500349414552171"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.54.1862"},{"key":"ref41","author":"nielsen","year":"2000","journal-title":"Quantum Computation and Quantum Information"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.54.1098"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.77.2585"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/8274985\/08218756.pdf?arnumber=8218756","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,8]],"date-time":"2022-09-08T19:47:48Z","timestamp":1662666468000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/8218756\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"references-count":49,"URL":"https:\/\/doi.org\/10.1109\/access.2017.2784417","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018]]}}}