{"id":"https://openalex.org/W3032783742","doi":"https://doi.org/10.1145/3387902.3394032","title":"Quantum splines for non-linear approximations","display_name":"Quantum splines for non-linear approximations","publication_year":2020,"publication_date":"2020-05-11","ids":{"openalex":"https://openalex.org/W3032783742","doi":"https://doi.org/10.1145/3387902.3394032","mag":"3032783742"},"language":"en","primary_location":{"id":"doi:10.1145/3387902.3394032","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3387902.3394032","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 17th ACM International Conference on Computing Frontiers","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2303.05428","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015645640","display_name":"Antonio Macaluso","orcid":"https://orcid.org/0000-0002-1348-250X"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Antonio Macaluso","raw_affiliation_strings":["University of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102929139","display_name":"L. Clissa","orcid":"https://orcid.org/0000-0002-4876-5200"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Luca Clissa","raw_affiliation_strings":["University of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083738483","display_name":"Stefano Lodi","orcid":"https://orcid.org/0000-0001-8861-6341"},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Lodi","raw_affiliation_strings":["University of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]},{"author_position":"last","author":{"id":null,"display_name":"Claudio Sartori","orcid":null},"institutions":[{"id":"https://openalex.org/I9360294","display_name":"University of Bologna","ror":"https://ror.org/01111rn36","country_code":"IT","type":"education","lineage":["https://openalex.org/I9360294"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Claudio Sartori","raw_affiliation_strings":["University of Bologna, Bologna, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bologna, Bologna, Italy","institution_ids":["https://openalex.org/I9360294"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5416,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.7316131,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"249","last_page":"252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9995999932289124,"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":0.9995999932289124,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9894999861717224,"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"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.978600025177002,"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/computer-science","display_name":"Computer science","score":0.6817497611045837},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.6662648320198059},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5943015813827515},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5770501494407654},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5296304821968079},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.527515709400177},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5101438164710999},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.4835355281829834},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4409335255622864},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39586085081100464},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3452844023704529},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24915611743927002},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.1271739900112152},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.061622172594070435}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6817497611045837},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.6662648320198059},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5943015813827515},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5770501494407654},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5296304821968079},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.527515709400177},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5101438164710999},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.4835355281829834},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4409335255622864},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39586085081100464},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3452844023704529},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24915611743927002},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.1271739900112152},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.061622172594070435},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3387902.3394032","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3387902.3394032","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 17th ACM International Conference on Computing Frontiers","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2303.05428","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2303.05428","pdf_url":"https://arxiv.org/pdf/2303.05428","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:cris.unibo.it:11585/765841","is_oa":true,"landing_page_url":"https://dl.acm.org/doi/abs/10.1145/3387902.3394032?casa_token=FAHYez1thAoAAAAA:JEDZ-iBQiUE_jSPwaADvBszbkA-ttWGFJVc1O6QT9SIm0vekU5c8rNcJB57sOUVYoBQ8uvdzgLo","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2303.05428","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2303.05428","pdf_url":"https://arxiv.org/pdf/2303.05428","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3032783742.pdf","grobid_xml":"https://content.openalex.org/works/W3032783742.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1480376833","https://openalex.org/W1492999010","https://openalex.org/W1561337879","https://openalex.org/W1631356911","https://openalex.org/W1986491966","https://openalex.org/W2035476608","https://openalex.org/W2041506125","https://openalex.org/W2042127289","https://openalex.org/W2080063509","https://openalex.org/W2098841537","https://openalex.org/W2162870748","https://openalex.org/W2736592352","https://openalex.org/W2764347725","https://openalex.org/W2772274464","https://openalex.org/W2793310412","https://openalex.org/W3037687232","https://openalex.org/W3102885034","https://openalex.org/W4239844857","https://openalex.org/W4298304654"],"related_works":["https://openalex.org/W2062195135","https://openalex.org/W2799406489","https://openalex.org/W2795079307","https://openalex.org/W2793058541","https://openalex.org/W1983629434","https://openalex.org/W2049792449","https://openalex.org/W986251431","https://openalex.org/W2055929693","https://openalex.org/W563727013","https://openalex.org/W4324271173"],"abstract_inverted_index":{"Quantum":[0],"Computing":[1],"offers":[2],"a":[3,99],"new":[4],"paradigm":[5],"for":[6,51,66,87],"efficient":[7,46],"computing":[8],"and":[9,61],"many":[10],"AI":[11],"applications":[12],"could":[13],"benefit":[14],"from":[15],"its":[16],"potential":[17],"boost":[18],"in":[19,38,96],"performance.":[20],"However,":[21],"the":[22,26,33,63,68,73,90,106],"main":[23],"limitation":[24],"is":[25,108],"constraint":[27],"to":[28,71,105],"linear":[29],"operations":[30],"that":[31],"hampers":[32],"representation":[34],"of":[35,48,75,89],"complex":[36],"relationships":[37],"data.":[39],"In":[40,54],"this":[41],"work,":[42],"we":[43,56,79],"propose":[44],"an":[45,84],"implementation":[47],"quantum":[49],"splines":[50],"non-linear":[52],"approximation.":[53],"particular,":[55],"first":[57],"discuss":[58],"possible":[59],"parametrisations,":[60],"select":[62],"most":[64,91],"convenient":[65],"exploiting":[67],"HHL":[69,107],"algorithm":[70],"obtain":[72],"estimates":[74],"spline":[76],"coefficients.":[77],"Then,":[78],"investigate":[80],"QSpline":[81],"performance":[82],"as":[83],"evaluation":[85],"routine":[86],"some":[88],"popular":[92],"activation":[93],"functions":[94],"adopted":[95],"ML.":[97],"Finally,":[98],"detailed":[100],"comparison":[101],"with":[102],"classical":[103],"alternatives":[104],"also":[109],"presented.":[110]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}