{"id":"https://openalex.org/W7147342981","doi":"https://doi.org/10.1007/s11128-026-05154-9","title":"Beyond VQE and QPE: a noise- and sampling-error-tolerant quantum algorithm with Heisenberg-limited precision","display_name":"Beyond VQE and QPE: a noise- and sampling-error-tolerant quantum algorithm with Heisenberg-limited precision","publication_year":2026,"publication_date":"2026-04-02","ids":{"openalex":"https://openalex.org/W7147342981","doi":"https://doi.org/10.1007/s11128-026-05154-9"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-026-05154-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-026-05154-9","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"},"type":"article","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/A5132630947","display_name":"Qing-Xing Xie","orcid":null},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qing-Xing Xie","raw_affiliation_strings":["Department of Physics, Hubei University, Wuhan, 430062, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Hubei University, Wuhan, 430062, People\u2019s Republic of China","institution_ids":["https://openalex.org/I75900474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5132584652","display_name":"Zidong Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I4210159500","display_name":"Shenzhen Academy of Aerospace Technology","ror":"https://ror.org/05etzsm06","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210159500"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zidong Lin","raw_affiliation_strings":["Shenzhen SpinQ Technology Co., Ltd., Shenzhen, 518043, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Shenzhen SpinQ Technology Co., Ltd., Shenzhen, 518043, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210159500"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100337348","display_name":"Yunlong Liu","orcid":"https://orcid.org/0000-0001-6008-0442"},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yun-Long Liu","raw_affiliation_strings":["Department of Physics, Hubei University, Wuhan, 430062, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Physics, Hubei University, Wuhan, 430062, People\u2019s Republic of China","institution_ids":["https://openalex.org/I75900474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5132606495","display_name":"Yan Zhao","orcid":null},"institutions":[{"id":"https://openalex.org/I24185976","display_name":"Sichuan University","ror":"https://ror.org/011ashp19","country_code":"CN","type":"education","lineage":["https://openalex.org/I24185976"]},{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yan Zhao","raw_affiliation_strings":["College of Materials Science and Engineering, Sichuan University, Chengdu, 610065, People\u2019s Republic of China","The Institute of Technological Sciences, Wuhan University, Wuhan, 430072, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"College of Materials Science and Engineering, Sichuan University, Chengdu, 610065, People\u2019s Republic of China","institution_ids":["https://openalex.org/I24185976"]},{"raw_affiliation_string":"The Institute of Technological Sciences, Wuhan University, Wuhan, 430072, People\u2019s Republic of China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5132606495"],"corresponding_institution_ids":["https://openalex.org/I24185976","https://openalex.org/I37461747"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.89341083,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"4","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":0.9485999941825867,"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":0.9485999941825867,"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":0.025499999523162842,"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":0.0031999999191612005,"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-computer","display_name":"Quantum computer","score":0.7067999839782715},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5019000172615051},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.4083999991416931},{"id":"https://openalex.org/keywords/quantum-dot","display_name":"Quantum dot","score":0.3084999918937683},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.3041999936103821},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.29269999265670776},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.2888999879360199}],"concepts":[{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.7067999839782715},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5637000203132629},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5019000172615051},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4514000117778778},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43810001015663147},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.4083999991416931},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.33250001072883606},{"id":"https://openalex.org/C124657808","wikidata":"https://www.wikidata.org/wiki/Q1133068","display_name":"Quantum dot","level":2,"score":0.3084999918937683},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3041999936103821},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2992999851703644},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.29269999265670776},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.2888999879360199},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.27399998903274536},{"id":"https://openalex.org/C190463098","wikidata":"https://www.wikidata.org/wiki/Q2081419","display_name":"Quantum technology","level":4,"score":0.27230000495910645},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.27140000462532043},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.2563999891281128},{"id":"https://openalex.org/C122527463","wikidata":"https://www.wikidata.org/wiki/Q578430","display_name":"Quantum decoherence","level":3,"score":0.25459998846054077},{"id":"https://openalex.org/C90408235","wikidata":"https://www.wikidata.org/wiki/Q938141","display_name":"Quantum annealing","level":4,"score":0.2515999972820282}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-026-05154-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-026-05154-9","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6456622357","display_name":null,"funder_award_id":"2025AFB274","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"},{"id":"https://openalex.org/G7135574443","display_name":null,"funder_award_id":"12504267","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8631011099","display_name":null,"funder_award_id":"22273069","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322186","display_name":"Natural Science Foundation of Hubei Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W1967037487","https://openalex.org/W1997391728","https://openalex.org/W2038710373","https://openalex.org/W2052891002","https://openalex.org/W2065768518","https://openalex.org/W2069433220","https://openalex.org/W2076021266","https://openalex.org/W2168299072","https://openalex.org/W2756519801","https://openalex.org/W2781738013","https://openalex.org/W2803208764","https://openalex.org/W2895995157","https://openalex.org/W2906538035","https://openalex.org/W2949253647","https://openalex.org/W2963212486","https://openalex.org/W2984279929","https://openalex.org/W2990012674","https://openalex.org/W3007178273","https://openalex.org/W3008208642","https://openalex.org/W3012879893","https://openalex.org/W3033538967","https://openalex.org/W3046716817","https://openalex.org/W3130923323","https://openalex.org/W3156581824","https://openalex.org/W3162848376","https://openalex.org/W3185698338","https://openalex.org/W3207323274","https://openalex.org/W3212169067","https://openalex.org/W4213241192","https://openalex.org/W4282003806","https://openalex.org/W4290802248","https://openalex.org/W4298621130","https://openalex.org/W4366168964","https://openalex.org/W4378374805","https://openalex.org/W4379054879","https://openalex.org/W4380791807","https://openalex.org/W4383879098","https://openalex.org/W4387527134","https://openalex.org/W4390580244","https://openalex.org/W4390970257","https://openalex.org/W4392120519","https://openalex.org/W4396553605","https://openalex.org/W4396769821","https://openalex.org/W4399580018","https://openalex.org/W4399735989","https://openalex.org/W4400574466","https://openalex.org/W4400612079","https://openalex.org/W4400657133","https://openalex.org/W4404396415","https://openalex.org/W4405824160","https://openalex.org/W4406365969","https://openalex.org/W4407421602","https://openalex.org/W4408847956","https://openalex.org/W4409174820","https://openalex.org/W4409280293","https://openalex.org/W4410206406","https://openalex.org/W4410550357","https://openalex.org/W4410878941","https://openalex.org/W4413739069","https://openalex.org/W4414611168","https://openalex.org/W4414724171","https://openalex.org/W4416149694","https://openalex.org/W4416890336"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2026-04-02T00:00:00"}
