{"id":"https://openalex.org/W2011743455","doi":"https://doi.org/10.1142/s1230161211000029","title":"Quantifying the Performance of Quantum Codes","display_name":"Quantifying the Performance of Quantum Codes","publication_year":2011,"publication_date":"2011-03-01","ids":{"openalex":"https://openalex.org/W2011743455","doi":"https://doi.org/10.1142/s1230161211000029","mag":"2011743455"},"language":"en","primary_location":{"id":"doi:10.1142/s1230161211000029","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161211000029","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems &amp; Information Dynamics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1101.2409","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027136097","display_name":"Carlo Cafaro","orcid":"https://orcid.org/0000-0002-4913-7046"},"institutions":[{"id":"https://openalex.org/I112859197","display_name":"Universit\u00e0 di Camerino","ror":"https://ror.org/0005w8d69","country_code":"IT","type":"education","lineage":["https://openalex.org/I112859197"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Carlo Cafaro","raw_affiliation_strings":["School of Science and Technology, Physics Division, University of Camerino, I-62032, Camerino, Italy"],"affiliations":[{"raw_affiliation_string":"School of Science and Technology, Physics Division, University of Camerino, I-62032, Camerino, Italy","institution_ids":["https://openalex.org/I112859197"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040541892","display_name":"Sonia L\u2019Innocente","orcid":"https://orcid.org/0000-0002-9224-7451"},"institutions":[{"id":"https://openalex.org/I112859197","display_name":"Universit\u00e0 di Camerino","ror":"https://ror.org/0005w8d69","country_code":"IT","type":"education","lineage":["https://openalex.org/I112859197"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sonia L'Innocente","raw_affiliation_strings":["School of Science and Technology, Mathematics Division, University of Camerino, I-62032, Camerino, Italy"],"affiliations":[{"raw_affiliation_string":"School of Science and Technology, Mathematics Division, University of Camerino, I-62032, Camerino, Italy","institution_ids":["https://openalex.org/I112859197"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089643524","display_name":"Cosmo Lupo","orcid":"https://orcid.org/0000-0002-5227-4009"},"institutions":[{"id":"https://openalex.org/I112859197","display_name":"Universit\u00e0 di Camerino","ror":"https://ror.org/0005w8d69","country_code":"IT","type":"education","lineage":["https://openalex.org/I112859197"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Cosmo Lupo","raw_affiliation_strings":["School of Science and Technology, Physics Division, University of Camerino, I-62032, Camerino, Italy"],"affiliations":[{"raw_affiliation_string":"School of Science and Technology, Physics Division, University of Camerino, I-62032, Camerino, Italy","institution_ids":["https://openalex.org/I112859197"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056419860","display_name":"Stefano Mancini","orcid":"https://orcid.org/0000-0002-3797-3987"},"institutions":[{"id":"https://openalex.org/I4210163778","display_name":"Istituto Nazionale di Fisica Nucleare, Sezione di Perugia","ror":"https://ror.org/05478fx36","country_code":"IT","type":"facility","lineage":["https://openalex.org/I160013858","https://openalex.org/I4210163778"]},{"id":"https://openalex.org/I112859197","display_name":"Universit\u00e0 di Camerino","ror":"https://ror.org/0005w8d69","country_code":"IT","type":"education","lineage":["https://openalex.org/I112859197"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Mancini","raw_affiliation_strings":["INFN, Sezione di Perugia, I-06123 Perugia, Italy","School of Science and Technology, Physics Division, University of Camerino, I-62032, Camerino, Italy"],"affiliations":[{"raw_affiliation_string":"INFN, Sezione di Perugia, I-06123 Perugia, Italy","institution_ids":["https://openalex.org/I4210163778"]},{"raw_affiliation_string":"School of Science and Technology, Physics Division, University of Camerino, I-62032, Camerino, Italy","institution_ids":["https://openalex.org/I112859197"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5027136097"],"corresponding_institution_ids":["https://openalex.org/I112859197"],"apc_list":null,"apc_paid":null,"fwci":1.776,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.86715106,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"18","issue":"01","first_page":"1","last_page":"31"},"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9990000128746033,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9832000136375427,"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/qubit","display_name":"Qubit","score":0.6446542739868164},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.6401293873786926},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.5297982096672058},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47976312041282654},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45575398206710815},{"id":"https://openalex.org/keywords/concatenation","display_name":"Concatenation (mathematics)","score":0.4549637734889984},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.41807520389556885},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3396449685096741},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31793373823165894},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28066837787628174},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2486843764781952},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.23491087555885315},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.22479894757270813},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.13191434741020203}],"concepts":[{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.6446542739868164},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6401293873786926},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.5297982096672058},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47976312041282654},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45575398206710815},{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.4549637734889984},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.41807520389556885},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3396449685096741},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31793373823165894},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28066837787628174},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2486843764781952},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.23491087555885315},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.22479894757270813},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.13191434741020203},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s1230161211000029","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161211000029","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems &amp; Information Dynamics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1101.2409","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1101.2409","pdf_url":"https://arxiv.org/pdf/1101.2409","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1101.2409","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1101.2409","pdf_url":"https://arxiv.org/pdf/1101.2409","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1483489440","https://openalex.org/W1543719239","https://openalex.org/W1583751666","https://openalex.org/W1675244148","https://openalex.org/W1746278515","https://openalex.org/W1839785972","https://openalex.org/W1967248215","https://openalex.org/W1978545431","https://openalex.org/W1980856895","https://openalex.org/W2001597543","https://openalex.org/W2010137750","https://openalex.org/W2011628122","https://openalex.org/W2021018538","https://openalex.org/W2030582702","https://openalex.org/W2033805462","https://openalex.org/W2064231015","https://openalex.org/W2087714893","https://openalex.org/W2103282498","https://openalex.org/W2109496295","https://openalex.org/W2153507519","https://openalex.org/W2167297248","https://openalex.org/W2167413626","https://openalex.org/W2203701554","https://openalex.org/W2618266288","https://openalex.org/W2763302490","https://openalex.org/W4212801999","https://openalex.org/W4289437056"],"related_works":["https://openalex.org/W2900120528","https://openalex.org/W2783895911","https://openalex.org/W2034401304","https://openalex.org/W2795193539","https://openalex.org/W4245458608","https://openalex.org/W2273978823","https://openalex.org/W2315999626","https://openalex.org/W2806663979","https://openalex.org/W2157771100","https://openalex.org/W2153501912"],"abstract_inverted_index":{"We":[0,64,160],"study":[1],"the":[2,12,21,25,38,61,67,83,91,94,109,117,126,131,153,167,171,177,182,191,194,200,204,213],"properties":[3],"of":[4,14,20,40,60,69,85,93,108,166,176,184,203],"error":[5,47,127,150,179],"correcting":[6],"codes":[7,71,95,123],"for":[8,120],"noise":[9],"models":[10],"in":[11,58,82,114,193],"presence":[13],"asymmetries":[15],"and/or":[16],"correlations":[17],"by":[18,106,164],"means":[19,107,165],"entanglement":[22,62,168,201],"fidelity":[23,169,202],"and":[24,36,45,53,75,102,112,130,140,147,170,181],"code":[26,44,49,110,156,163,172,214],"entropy.":[27],"First,":[28],"we":[29,89,136,187],"consider":[30,66,137],"a":[31,42,209,219],"dephasing":[32],"Markovian":[33],"memory":[34,132,145],"channel":[35],"characterize":[37,90,161],"performance":[39,220],"both":[41,138],"repetition":[43],"an":[46],"avoiding":[48],"([Formula:":[50,72],"see":[51,55,73,97,100,104,158],"text]":[52,101,105],"[Formula:":[54,96,99,103,157],"text],":[56,98],"respectively)":[57],"terms":[59],"fidelity.":[63],"also":[65],"concatenation":[68],"such":[70,122],"text])":[74],"show":[76],"that":[77,116,189],"it":[78,207],"is":[79,216],"especially":[80],"advantageous":[81],"regime":[84],"partial":[86],"correlations.":[87],"Finally,":[88],"effectiveness":[92],"entropy":[111,173,215],"find,":[113],"particular,":[115],"effort":[118],"required":[119],"recovering":[121],"decreases":[124,129],"when":[125,212],"probability":[128],"parameter":[133],"increases.":[134],"Second,":[135],"symmetric":[139],"asymmetric":[141,178],"depolarizing":[142,195],"noisy":[143],"quantum":[144,149],"channels":[146],"perform":[148],"correction":[151],"via":[152],"five-qubit":[154,205],"stabilizer":[155],"text].":[159],"this":[162],"as":[174,218],"function":[175],"probabilities":[180],"degree":[183],"memory.":[185],"Specifically,":[186],"uncover":[188],"while":[190],"asymmetry":[192],"errors":[196],"does":[197],"not":[198],"affect":[199],"code,":[206],"becomes":[208],"relevant":[210],"feature":[211],"used":[217],"quantifier.":[221]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
