{"id":"https://openalex.org/W2621050557","doi":"https://doi.org/10.1007/978-3-319-59879-6_19","title":"A Low-Resource Quantum Factoring Algorithm","display_name":"A Low-Resource Quantum Factoring Algorithm","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2621050557","doi":"https://doi.org/10.1007/978-3-319-59879-6_19","mag":"2621050557"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-59879-6_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-59879-6_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108114375","display_name":"Daniel J. Bernstein","orcid":null},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]},{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL","US"],"is_corresponding":true,"raw_author_name":"Daniel J. Bernstein","raw_affiliation_strings":["Department of Computer Science, University of Illinois at Chicago, Chicago, USA","Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, Eindhoven, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Illinois at Chicago, Chicago, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030566023","display_name":"Jean\u2010Fran\u00e7ois Biasse","orcid":"https://orcid.org/0000-0001-8591-8408"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jean-Fran\u00e7ois Biasse","raw_affiliation_strings":["Department of Mathematics and Statistics, University of South Florida, Tampa, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of South Florida, Tampa, USA","institution_ids":["https://openalex.org/I2613432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009567571","display_name":"Michele Mosca","orcid":"https://orcid.org/0000-0001-7076-3095"},"institutions":[{"id":"https://openalex.org/I109736498","display_name":"Canadian Institute for Advanced Research","ror":"https://ror.org/01sdtdd95","country_code":"CA","type":"facility","lineage":["https://openalex.org/I109736498"]},{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]},{"id":"https://openalex.org/I183974707","display_name":"Perimeter Institute","ror":"https://ror.org/013m0ej23","country_code":"CA","type":"facility","lineage":["https://openalex.org/I183974707"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Michele Mosca","raw_affiliation_strings":["Canadian Institute for Advanced Research, Toronto, Canada","Institute for Quantum Computing and Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada","Perimeter Institute for Theoretical Physics, Waterloo, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Canadian Institute for Advanced Research, Toronto, Canada","institution_ids":["https://openalex.org/I109736498"]},{"raw_affiliation_string":"Institute for Quantum Computing and Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"Perimeter Institute for Theoretical Physics, Waterloo, Canada","institution_ids":["https://openalex.org/I183974707"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5009567571","https://openalex.org/A5030566023","https://openalex.org/A5108114375"],"corresponding_institution_ids":["https://openalex.org/I109736498","https://openalex.org/I151746483","https://openalex.org/I183974707","https://openalex.org/I2613432","https://openalex.org/I39422238","https://openalex.org/I83019370"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"330","last_page":"346"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9902999997138977,"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":0.987500011920929,"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/factoring","display_name":"Factoring","score":0.6546522378921509},{"id":"https://openalex.org/keywords/heuristics","display_name":"Heuristics","score":0.589168906211853},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.569111704826355},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.5156387090682983},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5137904286384583},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.4980485439300537},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.47304075956344604},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.4716987609863281},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45062994956970215},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4434022307395935},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.44057267904281616},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.41923460364341736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.376966655254364},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3741397559642792},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18352773785591125},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16904646158218384},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.11383646726608276}],"concepts":[{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.6546522378921509},{"id":"https://openalex.org/C127705205","wikidata":"https://www.wikidata.org/wiki/Q5748245","display_name":"Heuristics","level":2,"score":0.589168906211853},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.569111704826355},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.5156387090682983},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5137904286384583},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.4980485439300537},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.47304075956344604},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4716987609863281},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45062994956970215},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4434022307395935},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.44057267904281616},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.41923460364341736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.376966655254364},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3741397559642792},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18352773785591125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16904646158218384},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.11383646726608276},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-319-59879-6_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-59879-6_19","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/720c7553-19aa-407a-ae21-541ae63e3b50","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/720c7553-19aa-407a-ae21-541ae63e3b50","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bernstein, D J, Biasse, J F & Mosca, M 2017, A low-resource quantum factoring algorithm. in T Lange & T Takagi (eds), Post-Quantum Cryptography : 8th International Workshop, PQCrypto 2017, Utrecht, The Netherlands, June 26-28, 2017, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10346 LNCS, Springer, Dordrecht, pp. 330-346, 8th International Conference on Post-Quantum Cryptography, (PQCrypto 2017), Utrecht, Netherlands, 26/06/17. https://doi.org/10.1007/978-3-319-59879-6_19","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:tue:oai:pure.tue.nl:publications/720c7553-19aa-407a-ae21-541ae63e3b50","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/720c7553-19aa-407a-ae21-541ae63e3b50","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Post-Quantum Cryptography: 8th International Workshop, PQCrypto 2017, Utrecht, The Netherlands, June 26-28, 2017, Proceedings, 330 - 346","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W14287234","https://openalex.org/W24281520","https://openalex.org/W782872668","https://openalex.org/W1566031803","https://openalex.org/W1624887593","https://openalex.org/W1959392488","https://openalex.org/W1969728959","https://openalex.org/W1996360405","https://openalex.org/W1996663143","https://openalex.org/W2005317356","https://openalex.org/W2019806661","https://openalex.org/W2020929171","https://openalex.org/W2035112473","https://openalex.org/W2061073612","https://openalex.org/W2095280521","https://openalex.org/W2095985205","https://openalex.org/W2101903351","https://openalex.org/W2109741106","https://openalex.org/W2117370345","https://openalex.org/W2142778315","https://openalex.org/W2156186849","https://openalex.org/W2166957790","https://openalex.org/W2234397060","https://openalex.org/W2342665867","https://openalex.org/W2741945342","https://openalex.org/W3023478445","https://openalex.org/W3111297213","https://openalex.org/W4232836212","https://openalex.org/W6713085657"],"related_works":["https://openalex.org/W2409877639","https://openalex.org/W4388704119","https://openalex.org/W2910123824","https://openalex.org/W4213379151","https://openalex.org/W3206120658","https://openalex.org/W2911278742","https://openalex.org/W1889203613","https://openalex.org/W4281550036","https://openalex.org/W2181040799","https://openalex.org/W2035510778"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2017,"cited_by_count":3}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}