{"id":"https://openalex.org/W7220720624","doi":"https://doi.org/10.48550/arxiv.2610.06364","title":"Adaptive complete quantum search with unknown number of solutions","display_name":"Adaptive complete quantum search with unknown number of solutions","publication_year":2026,"publication_date":"2026-10-05","ids":{"openalex":"https://openalex.org/W7220720624","doi":"https://doi.org/10.48550/arxiv.2610.06364"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.06364","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.06364","pdf_url":"https://arxiv.org/pdf/2610.06364","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"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.06364","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114320478","display_name":"Raj Alexandru Gu\u0163oiu","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gu\u0163oiu, Raj Alexandru","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027166584","display_name":"Bogdan-C\u0103lin Ciobanu","orcid":"https://orcid.org/0000-0002-2518-0226","observed_orcids":["https://orcid.org/0000-0002-2518-0226"]},"institutions":[{"id":"https://openalex.org/I61641377","display_name":"Universitatea Na\u021bional\u0103 de \u0218tiin\u021b\u0103 \u0219i Tehnologie Politehnica Bucure\u0219ti","ror":"https://ror.org/0558j5q12","country_code":"RO","type":"education","lineage":["https://openalex.org/I61641377"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Ciobanu, Bogdan-C\u0103lin","raw_affiliation_strings":["Computer Science and Engineering Department , National University of Science and Technology POLITEHNICA Bucharest , Splaiul Independe\u0163ei 313 , (6) , Bucharest , Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering Department , National University of Science and Technology POLITEHNICA Bucharest , Splaiul Independe\u0163ei 313 , (6) , Bucharest , Romania","institution_ids":["https://openalex.org/I61641377"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010743330","display_name":"Pantelimon George Popescu","orcid":"https://orcid.org/0000-0002-3521-4864","observed_orcids":["https://orcid.org/0000-0002-3521-4864"]},"institutions":[{"id":"https://openalex.org/I61641377","display_name":"Universitatea Na\u021bional\u0103 de \u0218tiin\u021b\u0103 \u0219i Tehnologie Politehnica Bucure\u0219ti","ror":"https://ror.org/0558j5q12","country_code":"RO","type":"education","lineage":["https://openalex.org/I61641377"]}],"countries":["RO"],"is_corresponding":false,"raw_author_name":"Popescu, Pantelimon George","raw_affiliation_strings":["Computer Science and Engineering Department , National University of Science and Technology POLITEHNICA Bucharest , Splaiul Independe\u0163ei 313 , (6) , Bucharest , Romania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering Department , National University of Science and Technology POLITEHNICA Bucharest , Splaiul Independe\u0163ei 313 , (6) , Bucharest , Romania","institution_ids":["https://openalex.org/I61641377"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9990000128746033,"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":0.9990000128746033,"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":0.00019999999494757503,"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/T10622","display_name":"Quantum Mechanics and Applications","score":9.999999747378752e-05,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-search-algorithms","display_name":"quantum search","score":0.6880000233650208},{"id":"https://openalex.org/keywords/unstructured-database-search","display_name":"unstructured database search","score":0.8289999961853027},{"id":"https://openalex.org/keywords/grover-s-algorithm","display_name":"Grover's algorithm","score":0.8489999771118164},{"id":"https://openalex.org/keywords/amplitude-amplification","display_name":"amplitude amplification","score":0.8169999718666077},{"id":"https://openalex.org/keywords/optimal-search-strategy","display_name":"optimal search strategy","score":0.515999972820282}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6665999889373779},{"id":"https://openalex.org/C125583679","wikidata":"https://www.wikidata.org/wiki/Q755673","display_name":"Search algorithm","level":2,"score":0.4708999991416931},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.4519999921321869},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.44429999589920044},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.4422000050544739},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4334999918937683},{"id":"https://openalex.org/C201789804","wikidata":"https://www.wikidata.org/wiki/Q2362762","display_name":"Search problem","level":2,"score":0.43140000104904175},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.43130001425743103},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.426800012588501},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4205000102519989},{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.3880999982357025},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36039999127388},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.35600000619888306},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.3246999979019165},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3149000108242035},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.3037000000476837},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.303600013256073},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.2955000102519989},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2921000123023987},{"id":"https://openalex.org/C46011968","wikidata":"https://www.wikidata.org/wiki/Q830527","display_name":"Best-first search","level":4,"score":0.2849999964237213},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.2806999981403351},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.2806999981403351},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.27720001339912415},{"id":"https://openalex.org/C177769412","wikidata":"https://www.wikidata.org/wiki/Q278090","display_name":"Prior probability","level":3,"score":0.27239999175071716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2655999958515167}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.06364","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.06364","pdf_url":"https://arxiv.org/pdf/2610.06364","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":"doi:10.48550/arxiv.2610.06364","doi":"https://doi.org/10.48550/arxiv.2610.06364","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.06364","pdf_url":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.06364","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.06364","pdf_url":"https://arxiv.org/pdf/2610.06364","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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220720624.pdf","grobid_xml":"https://content.openalex.org/works/W7220720624.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4389516353","https://openalex.org/W2989788594","https://openalex.org/W3087574760","https://openalex.org/W4408970798","https://openalex.org/W3106123690","https://openalex.org/W1877538711","https://openalex.org/W7204931979","https://openalex.org/W7030374198","https://openalex.org/W4319979332","https://openalex.org/W2151365767"],"abstract_inverted_index":{"Unstructured":[0],"database":[1,113],"search":[2,76,127,186,241],"is":[3,40,48,121,150],"a":[4,15,19,27,32,101,104],"fundamental":[5],"problem":[6,60,102],"that":[7,86,117,132],"requires":[8],"finding":[9,31,42],"one":[10],"or":[11],"more":[12],"elements":[13],"satisfying":[14],"specific":[16],"property":[17],"within":[18,124],"set":[20],"of":[21,38,67,69,107,141,154,171,210,214,217,228],"candidates.":[22],"While":[23],"Grover's":[24],"algorithm":[25,231],"provides":[26],"quadratic":[28],"speedup":[29],"for":[30,133],"marked":[33],"element":[34],"when":[35,45],"the":[36,64,88,112,125,138,146,155,180,189,196,211,215,229,236],"number":[37,47,106,140,216],"solutions":[39,44],"known,":[41],"all":[43,63],"their":[46],"unknown":[49],"presents":[50],"additional":[51],"challenges.":[52],"In":[53],"this":[54,59,172],"paper,":[55],"we":[56,115,130,174,194],"thoroughly":[57],"analyze":[58],"by":[61,184,225,233],"considering":[62],"different":[65],"regimes":[66,144],"combinations":[68],"classical,":[70],"Grover":[71,163],"and":[72,162,203,232,239],"generalized":[73,168,237],"fixed-point":[74,185,238],"quantum":[75,156,204],"instances.":[77],"We":[78],"unify":[79],"these":[80],"into":[81],"an":[82,176,207],"adaptive":[83],"Bayesian":[84],"approach":[85,120],"maximizes":[87],"expected":[89],"success":[90],"probability":[91,135,212],"per":[92],"unit":[93],"execution":[94],"time":[95,149],"at":[96,151],"each":[97],"searching":[98,205],"instance.":[99],"For":[100],"with":[103],"known":[105],"solutions,":[108,142],"much":[109],"lower":[110],"than":[111],"size,":[114],"prove":[116,131],"our":[118],"proposed":[119,230],"asymptotically":[122],"optimal":[123,197],"considered":[126],"model.":[128],"Furthermore,":[129],"any":[134],"distribution":[136,213],"characterizing":[137],"likely":[139],"in":[143],"where":[145],"classical":[147,161,201],"verification":[148],"most":[152],"25%":[153],"amplitude":[157],"amplification":[158],"time,":[159],"hybrid":[160],"approaches":[164],"are":[165,222],"preferred":[166],"to":[167,188],"fixed-point.":[169],"Outside":[170],"regime,":[173],"derive":[175],"upper":[177],"bound":[178],"on":[179],"maximal":[181],"improvement":[182],"achievable":[183],"compared":[187],"best":[190],"Grover-based":[191,240],"score.":[192],"Additionally,":[193],"determine":[195],"transition":[198],"point":[199],"between":[200,235],"sampling":[202],"using":[206],"integral":[208],"approximation":[209],"solutions.":[218],"The":[219],"analytical":[220],"results":[221],"also":[223],"supported":[224],"numerical":[226],"simulations":[227],"comparisons":[234],"policies.":[242]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-07T00:00:00"}