{"id":"https://openalex.org/W4415533804","doi":"https://doi.org/10.1007/s12095-025-00846-y","title":"Quantum stabiliser codes via concatenation of idempotents in commutative group algebras","display_name":"Quantum stabiliser codes via concatenation of idempotents in commutative group algebras","publication_year":2025,"publication_date":"2025-10-25","ids":{"openalex":"https://openalex.org/W4415533804","doi":"https://doi.org/10.1007/s12095-025-00846-y"},"language":"en","primary_location":{"id":"doi:10.1007/s12095-025-00846-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12095-025-00846-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12095-025-00846-y.pdf","source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s12095-025-00846-y.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061985242","display_name":"Kai Lin Ong","orcid":"https://orcid.org/0000-0002-0591-3111"},"institutions":[{"id":"https://openalex.org/I4210085930","display_name":"Heriot-Watt University Malaysia","ror":"https://ror.org/0059w0420","country_code":"MY","type":"education","lineage":["https://openalex.org/I4210085930"]}],"countries":["MY"],"is_corresponding":true,"raw_author_name":"Kai Lin Ong","raw_affiliation_strings":["School of Mathematical and Computer Sciences, Heriot-Watt University Malaysia, 1, Jalan Venna P5/2, Precinct 5, 62200, Putrajaya, W.P. Putrajaya, Malaysia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical and Computer Sciences, Heriot-Watt University Malaysia, 1, Jalan Venna P5/2, Precinct 5, 62200, Putrajaya, W.P. Putrajaya, Malaysia","institution_ids":["https://openalex.org/I4210085930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5061985242"],"corresponding_institution_ids":["https://openalex.org/I4210085930"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.14398308,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"2","first_page":"347","last_page":"366"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/stabiliser","display_name":"Stabiliser","score":0.7330999970436096},{"id":"https://openalex.org/keywords/concatenation","display_name":"Concatenation (mathematics)","score":0.6507999897003174},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.5943999886512756},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5432999730110168},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5394999980926514},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.5309000015258789},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.48539999127388},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.45840001106262207}],"concepts":[{"id":"https://openalex.org/C2780345374","wikidata":"https://www.wikidata.org/wiki/Q7595716","display_name":"Stabiliser","level":2,"score":0.7330999970436096},{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.6507999897003174},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.5943999886512756},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5493000149726868},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5432999730110168},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5394999980926514},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5309000015258789},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5239999890327454},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.48539999127388},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.45840001106262207},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.40720000863075256},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3596999943256378},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35929998755455017},{"id":"https://openalex.org/C172252984","wikidata":"https://www.wikidata.org/wiki/Q368988","display_name":"Idempotence","level":2,"score":0.3301999866962433},{"id":"https://openalex.org/C92957085","wikidata":"https://www.wikidata.org/wiki/Q1412905","display_name":"Permutation group","level":3,"score":0.32589998841285706},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.3246000111103058},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.3149000108242035},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.31040000915527344},{"id":"https://openalex.org/C2991951333","wikidata":"https://www.wikidata.org/wiki/Q188403","display_name":"Quantum chemical","level":3,"score":0.3066999912261963}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12095-025-00846-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12095-025-00846-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12095-025-00846-y.pdf","source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s12095-025-00846-y","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s12095-025-00846-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12095-025-00846-y.pdf","source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6652459388","display_name":null,"funder_award_id":"FRGS/1/2024/ICT04/HWUM/02/1","funder_id":"https://openalex.org/F4320321709","funder_display_name":"Ministry of Higher Education, Malaysia"}],"funders":[{"id":"https://openalex.org/F4320321709","display_name":"Ministry of Higher Education, Malaysia","ror":"https://ror.org/05mcs2t73"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415533804.pdf","grobid_xml":"https://content.openalex.org/works/W4415533804.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1976677460","https://openalex.org/W1996717410","https://openalex.org/W1999706070","https://openalex.org/W2042474962","https://openalex.org/W2073066000","https://openalex.org/W2091650625","https://openalex.org/W2122027458","https://openalex.org/W2347173607","https://openalex.org/W2806662552","https://openalex.org/W3034089015","https://openalex.org/W3038010021","https://openalex.org/W4220766317","https://openalex.org/W4234309561","https://openalex.org/W4301287831","https://openalex.org/W4353062942"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"Group":[1],"algebras":[2,69],"offer":[3],"a":[4,59,90],"rich":[5],"algebraic":[6],"perspective":[7],"for":[8],"the":[9,33,38,72,83,117,143,146,154],"study":[10],"of":[11,24,35,40,62,82,120,126,145],"classical":[12,27],"codes.":[13,28,75],"Through":[14],"this":[15,56],"lens,":[16],"idempotents":[17,36,64,97,121,155],"have":[18,44],"been":[19],"shown":[20],"to":[21,31,37,49,112],"characterise":[22],"properties":[23],"their":[25,53],"associated":[26],"However,":[29],"attempts":[30],"extend":[32],"use":[34],"construction":[39],"quantum":[41,147],"stabiliser":[42,74,130,148],"codes":[43,149],"remained":[45],"limited,":[46],"arguably":[47],"due":[48],"insufficient":[50],"variation":[51],"in":[52,129],"coefficients.":[54],"Therefore,":[55],"paper":[57],"proposes":[58],"new":[60],"method":[61],"concatenating":[63],"from":[65,116],"commutative":[66],"quaternary":[67],"group":[68,85,137],"and":[70],"studies":[71],"constructed":[73],"The":[76,124],"resulting":[77],"stabilisers":[78],"are":[79,95,132],"binary":[80],"subspaces":[81],"respective":[84],"algebras,":[86],"each":[87],"generated":[88],"by":[89,153],"single":[91],"element":[92],"whose":[93],"components":[94],"distinct":[96],"that":[98,142],"together":[99],"exhibit":[100],"sufficient":[101],"coefficient":[102],"variation.":[103],"Notably,":[104],"these":[105,127],"generators":[106,128],"may":[107],"be":[108,151],"units,":[109],"which":[110],"leads":[111],"an":[113,135],"interesting":[114],"deviation":[115],"conventional":[118],"setting":[119],"as":[122],"zero-divisors.":[123],"potential":[125],"formalism":[131],"studied":[133],"via":[134],"underlying":[136],"involution.":[138],"It":[139],"is":[140],"proven":[141],"parameters":[144],"can":[150],"characterised":[152],"involved.":[156]},"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-25T00:00:00"}