{"id":"https://openalex.org/W7215828659","doi":"https://doi.org/10.48550/arxiv.2610.01772","title":"Efficient quantum phase estimation with adaptive entanglement-assisted Hadamard test","display_name":"Efficient quantum phase estimation with adaptive entanglement-assisted Hadamard test","publication_year":2026,"publication_date":"2026-10-01","ids":{"openalex":"https://openalex.org/W7215828659","doi":"https://doi.org/10.48550/arxiv.2610.01772"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.01772","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.01772","pdf_url":"https://arxiv.org/pdf/2610.01772","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","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.01772","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108912542","display_name":"Hengzhun Chen","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen, Hengzhun","raw_affiliation_strings":["School of Mathematical Sciences , Fudan University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences , Fudan University","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061270149","display_name":"Benchi Zhao","orcid":"https://orcid.org/0000-0003-3317-3787","observed_orcids":["https://orcid.org/0000-0003-3317-3787"]},"institutions":[{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Zhao, Benchi","raw_affiliation_strings":["QICI Quantum Information and Computation Initiative , School of Computing and Data Science , The University of Hong Kong , Pokfulam Road , Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"QICI Quantum Information and Computation Initiative , School of Computing and Data Science , The University of Hong Kong , Pokfulam Road , Hong Kong","institution_ids":["https://openalex.org/I889458895"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5156182413","display_name":"Yingzhou Li","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li, Yingzhou","raw_affiliation_strings":["School of Mathematical Sciences , Fudan University","Shanghai Key Laboratory for Contemporary Applied Mathematics"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences , Fudan University","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Key Laboratory for Contemporary Applied Mathematics","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"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":0.9994999766349792,"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":0.9994999766349792,"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":0.00039999998989515007,"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/T11804","display_name":"Quantum many-body systems","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-phase-estimation","display_name":"quantum phase estimation","score":0.9990000128746033},{"id":"https://openalex.org/keywords/entangled-states","display_name":"entangled states","score":0.753000020980835}],"concepts":[{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.6230999827384949},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.569100022315979},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5392000079154968},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4480000138282776},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.44279998540878296},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44020000100135803},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.43160000443458557},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42579999566078186},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.39430001378059387},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.35569998621940613},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3352999985218048},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.3285999894142151},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.3190999925136566},{"id":"https://openalex.org/C30463267","wikidata":"https://www.wikidata.org/wiki/Q1422682","display_name":"Hadamard matrix","level":3,"score":0.2736000120639801},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2660999894142151},{"id":"https://openalex.org/C180214583","wikidata":"https://www.wikidata.org/wiki/Q4439348","display_name":"Quantum limit","level":3,"score":0.26089999079704285}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.01772","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.01772","pdf_url":"https://arxiv.org/pdf/2610.01772","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.2610.01772","doi":"https://doi.org/10.48550/arxiv.2610.01772","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.01772","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.01772","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.01772","pdf_url":"https://arxiv.org/pdf/2610.01772","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/G3909532171","display_name":null,"funder_award_id":"12271109","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4958263987","display_name":null,"funder_award_id":"12526211","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8277877479","display_name":null,"funder_award_id":"22TQ017","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"},{"id":"https://openalex.org/G8590833815","display_name":null,"funder_award_id":"21TQ140 0100","funder_id":"https://openalex.org/F4320321851","funder_display_name":"Fudan University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321851","display_name":"Fudan University","ror":"https://ror.org/013q1eq08"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7215828659.pdf","grobid_xml":"https://content.openalex.org/works/W7215828659.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W2143677375","https://openalex.org/W4396986598"],"related_works":["https://openalex.org/W4417160728","https://openalex.org/W4415009597","https://openalex.org/W4417182924","https://openalex.org/W6904757746","https://openalex.org/W2142956333","https://openalex.org/W3116987607","https://openalex.org/W4386454124","https://openalex.org/W4391671046","https://openalex.org/W2786558878","https://openalex.org/W7162121740"],"abstract_inverted_index":{"The":[0,126],"entanglement-assisted":[1,52],"Hadamard":[2,53],"test":[3,54],"(EHT)":[4],"is":[5,23,37,83],"a":[6,11,80,95],"practical":[7],"method":[8,36,158],"for":[9],"estimating":[10,86],"quantum":[12,88,119,162,166],"phase":[13,17,89,120,163],"by":[14,26,100],"amplifying":[15],"the":[16,20,27,30,35,40,59,67,74,87,91,101,116,130,133,145],"signal.":[18],"However,":[19],"feasible":[21],"amplification":[22,65,147],"fundamentally":[24],"limited":[25],"accuracy":[28],"of":[29,118,132,149],"reference":[31,60],"phase,":[32,61],"such":[33],"that":[34,56],"inefficient":[38],"in":[39],"high-precision":[41,161],"regime.":[42],"In":[43],"this":[44,141,153],"work,":[45],"we":[46,110],"propose":[47],"an":[48,156],"algorithm,":[49],"called":[50],"adaptive":[51],"(AEHT),":[55],"iteratively":[57],"refines":[58],"enabling":[62],"progressively":[63],"stronger":[64],"as":[66],"iteration":[68],"goes":[69],"by.":[70],"We":[71],"further":[72],"consider":[73],"imperfect":[75],"eigenstate":[76],"preparation":[77],"scenario,":[78],"where":[79],"systematic":[81],"bias":[82,96],"unavoidable":[84],"when":[85],"with":[90,137],"conventional":[92,138],"EHT.":[93],"Such":[94],"can":[97],"be":[98],"suppressed":[99],"proposed":[102,134],"AEHT.":[103],"Moreover,":[104],"taking":[105],"physical":[106],"implementation":[107],"into":[108],"consideration,":[109],"adopt":[111],"device-restart":[112],"count":[113],"to":[114,159],"measure":[115],"cost":[117],"estimation,":[121],"rather":[122],"than":[123],"shot":[124],"count.":[125],"numerical":[127],"experiments":[128],"confirm":[129],"effectiveness":[131],"AEHT":[135],"compared":[136],"methods":[139],"under":[140],"measure.":[142],"By":[143],"unlocking":[144],"full":[146],"power":[148],"large":[150],"entangled":[151],"states,":[152],"work":[154],"offers":[155],"efficient":[157],"estimate":[160],"on":[164],"near-term":[165],"processors.":[167]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-03T00:00:00"}