{"id":"https://openalex.org/W4410606885","doi":"https://doi.org/10.1007/s11128-025-04771-0","title":"Error analysis of quantum operators written as a linear combination of permutations","display_name":"Error analysis of quantum operators written as a linear combination of permutations","publication_year":2025,"publication_date":"2025-05-22","ids":{"openalex":"https://openalex.org/W4410606885","doi":"https://doi.org/10.1007/s11128-025-04771-0"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-025-04771-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-025-04771-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-025-04771-0.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","license_id":"https://openalex.org/licenses/cc-by","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/s11128-025-04771-0.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085042585","display_name":"Ammar Daskin","orcid":"https://orcid.org/0000-0002-1497-5031"},"institutions":[{"id":"https://openalex.org/I57913696","display_name":"Istanbul Medeniyet University","ror":"https://ror.org/05j1qpr59","country_code":"TR","type":"education","lineage":["https://openalex.org/I57913696"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"Ammar Daskin","raw_affiliation_strings":["Department of Computer Engineering, Istanbul Medeniyet University, Istanbul, 34000, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Istanbul Medeniyet University, Istanbul, 34000, Turkey","institution_ids":["https://openalex.org/I57913696"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085042585"],"corresponding_institution_ids":["https://openalex.org/I57913696"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":{"value":2690,"currency":"USD","value_usd":2690},"fwci":1.0891,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.82402302,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"24","issue":"5","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9966999888420105,"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/T10792","display_name":"Matrix Theory and Algorithms","score":0.988099992275238,"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/quantum-computer","display_name":"Quantum computer","score":0.6957384943962097},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4711650311946869},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4528159201145172},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3369273543357849},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2397468388080597},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.23652604222297668}],"concepts":[{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.6957384943962097},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4711650311946869},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4528159201145172},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3369273543357849},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2397468388080597},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.23652604222297668}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-025-04771-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-025-04771-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-025-04771-0.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","license_id":"https://openalex.org/licenses/cc-by","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/s11128-025-04771-0","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11128-025-04771-0","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11128-025-04771-0.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","license_id":"https://openalex.org/licenses/cc-by","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/F4320318304","display_name":"\u0130stanbul Medeniyet \u00dcniversitesi","ror":"https://ror.org/05j1qpr59"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4410606885.pdf","grobid_xml":"https://content.openalex.org/works/W4410606885.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1588963622","https://openalex.org/W1968660417","https://openalex.org/W1977965974","https://openalex.org/W1990283121","https://openalex.org/W1993118579","https://openalex.org/W2022416612","https://openalex.org/W2032572332","https://openalex.org/W2089122654","https://openalex.org/W2097527197","https://openalex.org/W2122860281","https://openalex.org/W2159566537","https://openalex.org/W2168676717","https://openalex.org/W2415656260","https://openalex.org/W2617974073","https://openalex.org/W2778498694","https://openalex.org/W2786822614","https://openalex.org/W2805612073","https://openalex.org/W3021961868","https://openalex.org/W3095412784","https://openalex.org/W3098581063","https://openalex.org/W3102916431","https://openalex.org/W3104433882","https://openalex.org/W3183019537","https://openalex.org/W4229706427","https://openalex.org/W4286981833","https://openalex.org/W4312258136","https://openalex.org/W4319736110","https://openalex.org/W4389672456","https://openalex.org/W4393375706","https://openalex.org/W6685102280"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Abstract":[0],"In":[1,53,168],"this":[2,112,151],"paper,":[3],"we":[4,38,55],"consider":[5],"matrices":[6,46,72,142],"given":[7],"as":[8,132],"a":[9,122,133,154],"linear":[10,34,134,166],"combination":[11,35,61,135],"of":[12,18,26,43,92,101,136],"permutations":[13,137],"and":[14,20,64,67,82,119,146],"analyze":[15,56],"the":[16,24,27,30,33,41,44,57,68,80,85,90,93,99,109,144],"impact":[17],"bit":[19,58],"phase":[21,69],"flips":[22,59],"on":[23],"perturbation":[25,91],"eigenvalues.":[28],"When":[29],"coefficients":[31,66,75],"in":[32,60,160],"are":[36],"positive,":[37],"observe":[39],"that":[40,89,179],"eigenvalues":[42],"resulting":[45],"exhibit":[47],"resilience":[48,78],"to":[49,79,156,164,174],"quantum":[50,161,182],"bit-flip":[51,81],"errors.":[52],"addition,":[54,169],"with":[62,73,184],"positive":[63],"negative":[65],"flips.":[70],"Although":[71],"mixed-sign":[74],"show":[76],"less":[77],"phase-flip":[83],"errors,":[84],"numerical":[86,165],"evidence":[87],"shows":[88],"eigenspectrum":[94],"is":[95,104,114,121],"very":[96],"small":[97],"when":[98,111],"rate":[100],"these":[102],"errors":[103],"small.":[105],"We":[106],"also":[107],"discuss":[108],"situation":[110],"matrix":[113,128,158],"implemented":[115],"through":[116],"block":[117],"encoding":[118],"there":[120],"control":[123],"register.":[124],"Since":[125],"any":[126],"square":[127],"can":[129,171],"be":[130],"expressed":[131],"multiplied":[138],"by":[139],"two":[140],"scaling":[141],"from":[143],"left":[145],"right":[147],"(via":[148],"Sinkhorn\u2019s":[149],"theorem),":[150],"paper":[152],"gives":[153],"framework":[155],"study":[157],"computations":[159],"algorithms":[162,178],"related":[163],"algebra.":[167],"it":[170],"give":[172],"ideas":[173],"design":[175],"more":[176],"error-resilient":[177],"may":[180],"involve":[181],"registers":[183],"different":[185],"error":[186],"characteristics.":[187]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2025-10-10T00:00:00"}