{"id":"https://openalex.org/W4404879189","doi":"https://doi.org/10.1186/s42400-024-00257-1","title":"The quantum circuit implementation and feasibility analysis of quantum public-key cryptosystem based on the $$QSCD_{ff}$$ problem","display_name":"The quantum circuit implementation and feasibility analysis of quantum public-key cryptosystem based on the $$QSCD_{ff}$$ problem","publication_year":2024,"publication_date":"2024-12-01","ids":{"openalex":"https://openalex.org/W4404879189","doi":"https://doi.org/10.1186/s42400-024-00257-1"},"language":"en","primary_location":{"id":"doi:10.1186/s42400-024-00257-1","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1186/s42400-024-00257-1","pdf_url":"https://link.springer.com/content/pdf/10.1186/s42400-024-00257-1.pdf","source":{"id":"https://openalex.org/S3035238565","display_name":"Cybersecurity","issn_l":"2523-3246","issn":["2523-3246"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["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":"Cybersecurity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://link.springer.com/content/pdf/10.1186/s42400-024-00257-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5041181449","display_name":"Anyi Li","orcid":"https://orcid.org/0000-0002-8804-5566"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]},{"id":"https://openalex.org/I4210160629","display_name":"China Information Technology Security Evaluation Center","ror":"https://ror.org/053cexp66","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210160629"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Anyi Li","raw_affiliation_strings":["Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China","Key Laboratory of Cyberspace Security Defense, Beijing, 100093, China","School of Cyber Security, University of Chinese Academy of Sciences, Beijing, 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China","institution_ids":["https://openalex.org/I4210156404","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Key Laboratory of Cyberspace Security Defense, Beijing, 100093, China","institution_ids":["https://openalex.org/I4210160629"]},{"raw_affiliation_string":"School of Cyber Security, University of Chinese Academy of Sciences, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5106638463","display_name":"Qiqing Xia","orcid":"https://orcid.org/0009-0008-3689-9157"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]},{"id":"https://openalex.org/I4210160629","display_name":"China Information Technology Security Evaluation Center","ror":"https://ror.org/053cexp66","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210160629"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiqing Xia","raw_affiliation_strings":["Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China","Key Laboratory of Cyberspace Security Defense, Beijing, 100093, China","School of Cyber Security, University of Chinese Academy of Sciences, Beijing, 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China","institution_ids":["https://openalex.org/I4210156404","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Key Laboratory of Cyberspace Security Defense, Beijing, 100093, China","institution_ids":["https://openalex.org/I4210160629"]},{"raw_affiliation_string":"School of Cyber Security, University of Chinese Academy of Sciences, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086962960","display_name":"Qianru Zhu","orcid":"https://orcid.org/0000-0002-5454-9811"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]},{"id":"https://openalex.org/I4210160629","display_name":"China Information Technology Security Evaluation Center","ror":"https://ror.org/053cexp66","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210160629"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qianru Zhu","raw_affiliation_strings":["Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China","Key Laboratory of Cyberspace Security Defense, Beijing, 100093, China","School of Cyber Security, University of Chinese Academy of Sciences, Beijing, 100049, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China","institution_ids":["https://openalex.org/I4210156404","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Key Laboratory of Cyberspace Security Defense, Beijing, 100093, China","institution_ids":["https://openalex.org/I4210160629"]},{"raw_affiliation_string":"School of Cyber Security, University of Chinese Academy of Sciences, Beijing, 100049, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100321661","display_name":"Li Yang","orcid":"https://orcid.org/0000-0003-2091-0506"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]},{"id":"https://openalex.org/I4210160629","display_name":"China Information Technology Security Evaluation Center","ror":"https://ror.org/053cexp66","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210160629"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Li Yang","raw_affiliation_strings":["Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China","Key Laboratory of Cyberspace Security Defense, Beijing, 100093, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China","institution_ids":["https://openalex.org/I4210156404","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Key Laboratory of Cyberspace Security Defense, Beijing, 100093, China","institution_ids":["https://openalex.org/I4210160629"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100321661"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210156404","https://openalex.org/I4210160629"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18560074,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"7","issue":"1","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":0.9998000264167786,"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":0.9998000264167786,"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/T10237","display_name":"Cryptography and Data Security","score":0.9977999925613403,"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":0.9966999888420105,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.6949906349182129},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5841710567474365},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5413283109664917},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.48999133706092834},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4766465127468109},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3641999065876007},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.2813533544540405},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2681128978729248},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.22743484377861023},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19112145900726318},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.1759316623210907},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13506239652633667}],"concepts":[{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.6949906349182129},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5841710567474365},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5413283109664917},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.48999133706092834},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4766465127468109},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3641999065876007},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.2813533544540405},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2681128978729248},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.22743484377861023},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19112145900726318},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.1759316623210907},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13506239652633667}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1186/s42400-024-00257-1","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1186/s42400-024-00257-1","pdf_url":"https://link.springer.com/content/pdf/10.1186/s42400-024-00257-1.pdf","source":{"id":"https://openalex.org/S3035238565","display_name":"Cybersecurity","issn_l":"2523-3246","issn":["2523-3246"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["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":"Cybersecurity","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:add54f06f7c44860afa467469125ab1b","is_oa":false,"landing_page_url":"https://doaj.org/article/add54f06f7c44860afa467469125ab1b","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Cybersecurity, Vol 7, Iss 1, Pp 1-18 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1186/s42400-024-00257-1","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1186/s42400-024-00257-1","pdf_url":"https://link.springer.com/content/pdf/10.1186/s42400-024-00257-1.pdf","source":{"id":"https://openalex.org/S3035238565","display_name":"Cybersecurity","issn_l":"2523-3246","issn":["2523-3246"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["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":"Cybersecurity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404879189.pdf","grobid_xml":"https://content.openalex.org/works/W4404879189.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W1522752796","https://openalex.org/W1530049232","https://openalex.org/W1639600422","https://openalex.org/W1929440438","https://openalex.org/W1948799478","https://openalex.org/W1971117233","https://openalex.org/W1973682419","https://openalex.org/W1989105251","https://openalex.org/W1998311361","https://openalex.org/W2035929826","https://openalex.org/W2036378739","https://openalex.org/W2042474962","https://openalex.org/W2077244027","https://openalex.org/W2108834246","https://openalex.org/W2150548144","https://openalex.org/W2155925458","https://openalex.org/W2167927798","https://openalex.org/W2212436842","https://openalex.org/W2293242706","https://openalex.org/W2476626342","https://openalex.org/W2768789137","https://openalex.org/W2990961515","https://openalex.org/W3006740938","https://openalex.org/W3026975843","https://openalex.org/W3032199016","https://openalex.org/W3041188825","https://openalex.org/W3090305794","https://openalex.org/W3101399009","https://openalex.org/W3153839025","https://openalex.org/W3158979744","https://openalex.org/W4232836212","https://openalex.org/W4291274243","https://openalex.org/W4320082852","https://openalex.org/W4376272132","https://openalex.org/W4378771261","https://openalex.org/W4388965351","https://openalex.org/W4389396814"],"related_works":["https://openalex.org/W2126037447","https://openalex.org/W2888183313","https://openalex.org/W1553510179","https://openalex.org/W4243688874","https://openalex.org/W2414747139","https://openalex.org/W4252709806","https://openalex.org/W2081673223","https://openalex.org/W1802397081","https://openalex.org/W2086770216","https://openalex.org/W807354026"],"abstract_inverted_index":{"Abstract":[0],"The":[1,66],"development":[2],"of":[3,32,64,79,86,119,136,158,190,203,218,229],"quantum":[4,21,48,53,56,67,87,104,120,125,147,155,161,182,191,219,234],"computation":[5,54,135,156,183,235],"enables":[6],"exponential":[7],"time":[8,19],"complexity":[9],"problems":[10],"on":[11,20,37,52,71,152],"classical":[12,33],"computers":[13],"to":[14,29,45,186,197],"be":[15],"solved":[16],"in":[17,83,95,102,146,179,233],"polynomial":[18],"computers.":[22],"However,":[23],"it":[24],"also":[25],"poses":[26],"a":[27,61,171,176,210],"threat":[28],"the":[30,72,80,84,103,116,134,137,142,153,159,180,187,199,204,214,225],"security":[31],"cryptographic":[34,49,121,149,220],"schemes":[35,50,82],"based":[36,51,70],"integer":[38],"factorization":[39],"and":[40,55,107,141,169,201,227],"discrete":[41],"logarithms.":[42],"In":[43],"response":[44],"this":[46],"challenge,":[47],"communication":[57],"environments":[58],"have":[59],"become":[60],"focal":[62],"point":[63],"research.":[65],"public-key":[68,88,148],"cryptosystem":[69],"QSCD":[73],"ff":[74],"problem":[75],"stands":[76],"as":[77,112],"one":[78],"influential":[81],"realm":[85],"cryptography,":[89],"yet":[90],"its":[91],"feasibility":[92,118,173,216],"remains":[93],"unexplored":[94],"current":[96],"literature.":[97],"Our":[98,207],"specific":[99],"focus":[100],"lies":[101],"circuit":[105,126,162],"implementations":[106,127],"fault-tolerant":[108,154],"construction,":[109],"which":[110],"serve":[111],"essential":[113],"prerequisites":[114],"for":[115,133,213],"physical":[117,215],"schemes.":[122,150],"We":[123],"provide":[124,170],"along":[128],"with":[129],"rigorous":[130],"theoretical":[131,172,188,211],"proofs":[132,194],"permutation":[138,143],"product":[139],"operation":[140,145],"sign":[144],"Based":[151],"process":[157],"aforementioned":[160],"implementations,":[163],"we":[164],"propose":[165],"two":[166],"error-correction":[167],"strategies":[168],"analysis":[174,217],"within":[175],"specified":[177],"range":[178],"ion-trap":[181],"environment,":[184],"adhering":[185],"limits":[189],"computation.":[192],"Rigorous":[193],"are":[195],"presented":[196],"demonstrate":[198],"correctness":[200],"reliability":[202],"proposed":[205],"methods.":[206],"contribution":[208],"provides":[209],"foundation":[212],"algorithms,":[221],"offering":[222],"insights":[223],"into":[224],"challenges":[226],"prospects":[228],"implementing":[230],"these":[231],"algorithms":[232],"environments.":[236]},"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
