{"id":"https://openalex.org/W2115005667","doi":"https://doi.org/10.1007/s11128-009-0113-1","title":"Fast quantum codes based on Pauli block jacket matrices","display_name":"Fast quantum codes based on Pauli block jacket matrices","publication_year":2009,"publication_date":"2009-04-27","ids":{"openalex":"https://openalex.org/W2115005667","doi":"https://doi.org/10.1007/s11128-009-0113-1","mag":"2115005667"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-009-0113-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-009-0113-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-009-0113-1.pdf","source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","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/s11128-009-0113-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101878152","display_name":"Ying Guo","orcid":"https://orcid.org/0000-0001-9383-575X"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ying Guo","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha, China","School of Information Science and Engineering, Central South University, Changsha, China, 410083#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, China, 410083#TAB#","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052901606","display_name":"Jun Peng","orcid":"https://orcid.org/0000-0001-6269-6929"},"institutions":[{"id":"https://openalex.org/I139660479","display_name":"Central South University","ror":"https://ror.org/00f1zfq44","country_code":"CN","type":"education","lineage":["https://openalex.org/I139660479"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Peng","raw_affiliation_strings":["School of Information Science and Engineering, Central South University, Changsha, China","School of Information Science and Engineering, Central South University, Changsha, China, 410083#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, China","institution_ids":["https://openalex.org/I139660479"]},{"raw_affiliation_string":"School of Information Science and Engineering, Central South University, Changsha, China, 410083#TAB#","institution_ids":["https://openalex.org/I139660479"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034971703","display_name":"Moon Ho Lee","orcid":"https://orcid.org/0000-0002-8435-8557"},"institutions":[{"id":"https://openalex.org/I80611190","display_name":"Jeonbuk National University","ror":"https://ror.org/05q92br09","country_code":"KR","type":"education","lineage":["https://openalex.org/I80611190"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Moon Ho Lee","raw_affiliation_strings":["Department of Information & Communication Engineering, Chonbuk National University, Chonju, Korea","Department of Information & Communication Engineering, Chonbuk National University, Chonju, Korea 561-756"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information & Communication Engineering, Chonbuk National University, Chonju, Korea","institution_ids":["https://openalex.org/I80611190"]},{"raw_affiliation_string":"Department of Information & Communication Engineering, Chonbuk National University, Chonju, Korea 561-756","institution_ids":["https://openalex.org/I80611190"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101878152"],"corresponding_institution_ids":["https://openalex.org/I139660479"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":{"value":2690,"currency":"USD","value_usd":2690},"fwci":1.5663,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.87878147,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"8","issue":"5","first_page":"361","last_page":"378"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9984999895095825,"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":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pauli-matrices","display_name":"Pauli matrices","score":0.6037999391555786},{"id":"https://openalex.org/keywords/pauli-exclusion-principle","display_name":"Pauli exclusion principle","score":0.5538769364356995},{"id":"https://openalex.org/keywords/quantum-convolutional-code","display_name":"Quantum convolutional code","score":0.5164732933044434},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5004439353942871},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.46418848633766174},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4598691165447235},{"id":"https://openalex.org/keywords/quantum-gate","display_name":"Quantum gate","score":0.4403068721294403},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.39517316222190857},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35775092244148254},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3245050311088562},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.3176873028278351},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3174405097961426},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28813526034355164},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24751907587051392}],"concepts":[{"id":"https://openalex.org/C180347388","wikidata":"https://www.wikidata.org/wiki/Q336233","display_name":"Pauli matrices","level":2,"score":0.6037999391555786},{"id":"https://openalex.org/C110340908","wikidata":"https://www.wikidata.org/wiki/Q131594","display_name":"Pauli exclusion principle","level":2,"score":0.5538769364356995},{"id":"https://openalex.org/C69497775","wikidata":"https://www.wikidata.org/wiki/Q7269025","display_name":"Quantum convolutional code","level":5,"score":0.5164732933044434},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5004439353942871},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.46418848633766174},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4598691165447235},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.4403068721294403},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.39517316222190857},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35775092244148254},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3245050311088562},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.3176873028278351},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3174405097961426},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28813526034355164},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24751907587051392},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-009-0113-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-009-0113-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-009-0113-1.pdf","source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11128-009-0113-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-009-0113-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-009-0113-1.pdf","source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"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-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321194","display_name":"Chonbuk National University","ror":"https://ror.org/05q92br09"},{"id":"https://openalex.org/F4320322348","display_name":"Korea Science and Engineering Foundation","ror":"https://ror.org/013aysd81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2115005667.pdf","grobid_xml":"https://content.openalex.org/works/W2115005667.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W32507011","https://openalex.org/W1495311907","https://openalex.org/W1576481659","https://openalex.org/W1587863748","https://openalex.org/W1606480398","https://openalex.org/W1631356911","https://openalex.org/W2012806307","https://openalex.org/W2048123562","https://openalex.org/W2065465262","https://openalex.org/W2068412634","https://openalex.org/W2105074092","https://openalex.org/W2119314900","https://openalex.org/W2119922116","https://openalex.org/W2135537429","https://openalex.org/W2141391303","https://openalex.org/W2142011869","https://openalex.org/W2145212440","https://openalex.org/W2149323415","https://openalex.org/W2149851033","https://openalex.org/W2154402310","https://openalex.org/W2159823397","https://openalex.org/W2167413626","https://openalex.org/W2483487490","https://openalex.org/W2484231070","https://openalex.org/W2764347725","https://openalex.org/W3101618178","https://openalex.org/W4239894305"],"related_works":["https://openalex.org/W2128887730","https://openalex.org/W4379113190","https://openalex.org/W2584669118","https://openalex.org/W1998488594","https://openalex.org/W2047506930","https://openalex.org/W2168346084","https://openalex.org/W4386770118","https://openalex.org/W2059957533","https://openalex.org/W1847897374","https://openalex.org/W2076783651"],"abstract_inverted_index":{"Jacket":[0],"matrices":[1,8,41,52],"motivated":[2],"by":[3,37,150],"the":[4,31,49,61,90,100,107,121,126,139,152,163,167,181],"center":[5],"weight":[6],"Hadamard":[7],"have":[9,53,174],"played":[10],"an":[11],"important":[12],"role":[13],"in":[14,74],"signal":[15],"processing,":[16,60],"communications,":[17],"image":[18],"compression,":[19],"cryptography,":[20],"etc.":[21],"In":[22],"this":[23],"paper,":[24],"we":[25,97,116],"suggest":[26],"a":[27],"design":[28],"approach":[29],"for":[30,42,57,125],"Pauli":[32,40,51,63,92,101,168],"block":[33,64,93,102,169],"jacket":[34,65,94,103,170],"matrix":[35,66,104],"achieved":[36],"substituting":[38],"some":[39,78],"all":[43],"elements":[44],"of":[45,89,110,138,155,166,176],"common":[46],"matrices.":[47],"Since,":[48],"well-known":[50],"been":[54],"widely":[55],"utilized":[56],"quantum":[58,111,114,128,136],"information":[59],"large-order":[62],"that":[67,77],"contains":[68],"commutative":[69],"row":[70,164],"operations":[71,165],"are":[72,82,160],"investigated":[73],"detail.":[75],"After":[76],"special":[79],"Abelian":[80,156],"groups":[81,157],"elegantly":[83],"generated":[84],"from":[85,162],"any":[86],"independent":[87],"rows":[88],"yielded":[91],"matrix.":[95],"Finally,":[96],"show":[98],"how":[99],"can":[105,146],"simplify":[106],"coding":[108],"theory":[109],"error-correction.":[112],"The":[113,143],"codes":[115,137,145],"provide":[117],"do":[118],"not":[119],"require":[120],"dual-containing":[122],"constraint":[123],"necessary":[124],"standard":[127],"error-correction":[129],"codes,":[130],"thus":[131],"allowing":[132],"us":[133],"to":[134],"construct":[135],"large":[140],"codeword":[141],"length.":[142],"proposed":[144],"be":[147],"constructed":[148,179],"structurally":[149],"using":[151],"stabilizer":[153],"formalism":[154],"whose":[158],"generators":[159],"selected":[161],"matrix,":[171],"and":[172],"hence":[173],"advantages":[175],"being":[177],"fast":[178],"with":[180],"asymptotically":[182],"good":[183],"behaviors.":[184]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}