{"id":"https://openalex.org/W2593446182","doi":"https://doi.org/10.1103/physreva.99.032314","title":"Learning-with-errors problem is easy with quantum samples","display_name":"Learning-with-errors problem is easy with quantum samples","publication_year":2019,"publication_date":"2019-03-11","ids":{"openalex":"https://openalex.org/W2593446182","doi":"https://doi.org/10.1103/physreva.99.032314","mag":"2593446182"},"language":"en","primary_location":{"id":"doi:10.1103/physreva.99.032314","doi":"https://doi.org/10.1103/physreva.99.032314","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreva.99.032314","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1702.08255","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090313356","display_name":"Alex B. Grilo","orcid":"https://orcid.org/0000-0001-7374-7082","observed_orcids":["https://orcid.org/0000-0001-7374-7082"]},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]},{"id":"https://openalex.org/I4210099082","display_name":"QuSoft","ror":"https://ror.org/00zq3ce72","country_code":"NL","type":"facility","lineage":["https://openalex.org/I4210099082"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Alex B. Grilo","raw_affiliation_strings":["QuSoft and CWI, Amsterdam 1098XG, The Netherlands","CWI - Centrum Wiskunde & Informatica (Science Park 123, 1098 XG Amsterdam - Netherlands)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"QuSoft and CWI, Amsterdam 1098XG, The Netherlands","institution_ids":["https://openalex.org/I1341640284","https://openalex.org/I4210099082"]},{"raw_affiliation_string":"CWI - Centrum Wiskunde & Informatica (Science Park 123, 1098 XG Amsterdam - Netherlands)","institution_ids":["https://openalex.org/I1341640284"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024725897","display_name":"Iordanis Kerenidis","orcid":"https://orcid.org/0000-0003-0659-3727","observed_orcids":["https://orcid.org/0000-0003-0659-3727"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]},{"id":"https://openalex.org/I4387154366","display_name":"Universit\u00e9 Paris Diderot","ror":"https://ror.org/02n7qrg46","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241","https://openalex.org/I4387154366"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Iordanis Kerenidis","raw_affiliation_strings":["IRIF, CNRS, Universit\u00e9 Paris Diderot, 75013 Paris, France","IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13  - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRIF, CNRS, Universit\u00e9 Paris Diderot, 75013 Paris, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210117673","https://openalex.org/I4387154366"]},{"raw_affiliation_string":"IRIF (UMR_8243) - Institut de Recherche en Informatique Fondamentale (Universit\u00e9 de Paris\r\nB\u00e2timent Sophie Germain, Case courrier 7014\r\n8 Place Aur\u00e9lie Nemours\r\n75205 Paris Cedex 13  - France)","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210117673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010262157","display_name":"Timo Zijlstra","orcid":"https://orcid.org/0000-0002-7596-5208","observed_orcids":["https://orcid.org/0000-0002-7596-5208"]},"institutions":[{"id":"https://openalex.org/I2802204017","display_name":"Universit\u00e9 de Bretagne Sud","ror":"https://ror.org/04ed7fw48","country_code":"FR","type":"education","lineage":["https://openalex.org/I2802204017"]},{"id":"https://openalex.org/I4210123702","display_name":"Laboratoire des Sciences et Techniques de l\u2019Information de la Communication et de la Connaissance","ror":"https://ror.org/0266kfd37","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I180375564","https://openalex.org/I201181511","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I4210123702","https://openalex.org/I4210127572","https://openalex.org/I4210145102","https://openalex.org/I4210148559","https://openalex.org/I4210159245","https://openalex.org/I4405260085"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Timo Zijlstra","raw_affiliation_strings":["Lab-STICC, Universit\u00e9 Bretagne Sud, 56321 Lorient, France","Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance (Technopole Brest Iroise CS 83818 29238 BREST cedex 3 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lab-STICC, Universit\u00e9 Bretagne Sud, 56321 Lorient, France","institution_ids":["https://openalex.org/I2802204017"]},{"raw_affiliation_string":"Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance (Technopole Brest Iroise CS 83818 29238 BREST cedex 3 - France)","institution_ids":["https://openalex.org/I4210123702"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2675,"currency":"USD","value_usd":2675},"apc_paid":null,"fwci":3.7716,"has_fulltext":true,"cited_by_count":59,"citation_normalized_percentile":{"value":0.94663941,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"99","issue":"3","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.5156000256538391,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.5156000256538391,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.2709999978542328,"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":0.19259999692440033,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/learning-with-errors","display_name":"learning with errors","score":0.859000027179718},{"id":"https://openalex.org/keywords/post-quantum-cryptography","display_name":"post-quantum cryptography","score":0.8650000095367432},{"id":"https://openalex.org/keywords/quantum-advantage","display_name":"quantum advantage","score":0.5049999952316284},{"id":"https://openalex.org/keywords/quantum-cryptography","display_name":"quantum cryptography","score":0.4099999964237213},{"id":"https://openalex.org/keywords/quantum-machine-learning","display_name":"quantum machine learning","score":0.3330000042915344}],"concepts":[{"id":"https://openalex.org/C144901912","wikidata":"https://www.wikidata.org/wiki/Q471906","display_name":"Quantum cryptography","level":4,"score":0.7455559968948364},{"id":"https://openalex.org/C2779014939","wikidata":"https://www.wikidata.org/wiki/Q6510239","display_name":"Learning with errors","level":3,"score":0.6972434520721436},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6720212697982788},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5574738383293152},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.52763432264328},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.493866503238678},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.4864811599254608},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.33367621898651123},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2892979681491852},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12659618258476257},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12470725178718567},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.058204710483551025},{"id":"https://openalex.org/C201995342","wikidata":"https://www.wikidata.org/wiki/Q682496","display_name":"Systems engineering","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/physreva.99.032314","doi":"https://doi.org/10.1103/physreva.99.032314","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physreva.99.032314","pdf_url":null,"source":{"id":"https://openalex.org/S164566984","display_name":"Physical Review A","issn_l":"0556-2791","issn":["0556-2791","1050-2947","1094-1622","1538-4446","2469-9926","2469-9934","2469-9942"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-2","ki-jl-1","norway-2","poland-100","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review A","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1702.08255","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1702.08255","pdf_url":"https://arxiv.org/pdf/1702.08255","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},{"id":"pmh:oai:HAL:hal-03032826v1","doi":null,"is_oa":false,"landing_page_url":"https://hal.science/hal-03032826","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Physical Review A, 2019, 99 (3), ⟨10.1103/PhysRevA.99.032314⟩","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1702.08255","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1702.08255","pdf_url":"https://arxiv.org/pdf/1702.08255","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1371337724","display_name":"Quantum algorithms for massive data","funder_award_id":"ANR-18-CE47-0010","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6507533677","display_name":null,"funder_award_id":"615307-QPROGRESS","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"},{"id":"https://openalex.org/G9000153210","display_name":null,"funder_award_id":"306537","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2593446182.pdf","grobid_xml":"https://content.openalex.org/works/W2593446182.grobid-xml"},"referenced_works_count":63,"referenced_works":["https://openalex.org/W26087452","https://openalex.org/W31130112","https://openalex.org/W39036742","https://openalex.org/W121367636","https://openalex.org/W190530026","https://openalex.org/W1498208317","https://openalex.org/W1503892142","https://openalex.org/W1525538795","https://openalex.org/W1531431453","https://openalex.org/W1535624876","https://openalex.org/W1560564685","https://openalex.org/W1562285034","https://openalex.org/W1650819270","https://openalex.org/W1760474993","https://openalex.org/W1820615084","https://openalex.org/W1929726994","https://openalex.org/W1970755478","https://openalex.org/W1979120705","https://openalex.org/W1983370494","https://openalex.org/W1987965590","https://openalex.org/W1990290564","https://openalex.org/W1993688167","https://openalex.org/W1994790157","https://openalex.org/W2009155360","https://openalex.org/W2019363670","https://openalex.org/W2021732294","https://openalex.org/W2033216491","https://openalex.org/W2061949491","https://openalex.org/W2065151783","https://openalex.org/W2071825329","https://openalex.org/W2079692740","https://openalex.org/W2086590681","https://openalex.org/W2098290658","https://openalex.org/W2100340693","https://openalex.org/W2114664664","https://openalex.org/W2122964527","https://openalex.org/W2122973102","https://openalex.org/W2124407183","https://openalex.org/W2142048307","https://openalex.org/W2167236842","https://openalex.org/W2275410481","https://openalex.org/W2284942299","https://openalex.org/W2315723423","https://openalex.org/W2397608281","https://openalex.org/W2461851784","https://openalex.org/W2477242951","https://openalex.org/W2498296354","https://openalex.org/W2580838454","https://openalex.org/W2619380141","https://openalex.org/W2623867443","https://openalex.org/W2738373330","https://openalex.org/W2885113919","https://openalex.org/W2900370870","https://openalex.org/W2916706634","https://openalex.org/W2951286680","https://openalex.org/W2952050628","https://openalex.org/W2990961515","https://openalex.org/W4238893454","https://openalex.org/W4240593444","https://openalex.org/W4297991408","https://openalex.org/W4299403349","https://openalex.org/W4300873752","https://openalex.org/W4323288235"],"related_works":["https://openalex.org/W6891854202","https://openalex.org/W3020405832","https://openalex.org/W2967469696","https://openalex.org/W6999894628","https://openalex.org/W2970174952","https://openalex.org/W2776076560","https://openalex.org/W3127039396","https://openalex.org/W4404702927","https://openalex.org/W3033070981","https://openalex.org/W4414647710"],"abstract_inverted_index":{"Most":[0],"post-quantum-cryptography":[1],"schemes":[2],"rely":[3],"on":[4],"the":[5,32],"fact":[6],"that":[7],"learning":[8],"noisy":[9],"functions":[10],"is":[11,20,25],"hard,":[12],"even":[13],"for":[14],"quantum":[15,23],"computers.":[16],"However,":[17],"this":[18],"task":[19],"easy":[21],"if":[22],"data":[24],"provided,":[26],"which":[27],"poses":[28],"interesting":[29],"consequences":[30],"in":[31],"area":[33],"of":[34],"cryptography.":[35]},"counts_by_year":[{"year":2026,"cited_by_count":6},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2017-03-16T00:00:00"}