{"id":"https://openalex.org/W7167247825","doi":"https://doi.org/10.1007/s42484-026-00407-3","title":"Hamiltonian expressibility for ansatz selection in variational quantum algorithms","display_name":"Hamiltonian expressibility for ansatz selection in variational quantum algorithms","publication_year":2026,"publication_date":"2026-07-03","ids":{"openalex":"https://openalex.org/W7167247825","doi":"https://doi.org/10.1007/s42484-026-00407-3"},"language":"en","primary_location":{"id":"doi:10.1007/s42484-026-00407-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42484-026-00407-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42484-026-00407-3.pdf","source":{"id":"https://openalex.org/S4210217596","display_name":"Quantum Machine Intelligence","issn_l":"2524-4906","issn":["2524-4906","2524-4914"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Machine Intelligence","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s42484-026-00407-3.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5140017892","display_name":"Filippo Brozzi","orcid":null},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Filippo Brozzi","raw_affiliation_strings":["Universit\u00e0 degli Studi di Firenze, Firenze, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Firenze, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090226977","display_name":"Gloria Turati","orcid":null},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Gloria Turati","raw_affiliation_strings":["Politecnico di Milano, Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063163090","display_name":"Maurizio Ferrari Dacrema","orcid":"https://orcid.org/0000-0001-7103-2788"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Maurizio Ferrari Dacrema","raw_affiliation_strings":["Politecnico di Milano, Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025624200","display_name":"Filippo Caruso","orcid":"https://orcid.org/0000-0002-8366-4296"},"institutions":[{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Filippo Caruso","raw_affiliation_strings":["Universit\u00e0 degli Studi di Firenze, Firenze, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Firenze, Firenze, Italy","institution_ids":["https://openalex.org/I45084792"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062726854","display_name":"Paolo Cremonesi","orcid":"https://orcid.org/0000-0002-1253-8081"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Cremonesi","raw_affiliation_strings":["Politecnico di Milano, Milano, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Politecnico di Milano, Milano, Italy","institution_ids":["https://openalex.org/I93860229"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063163090","https://openalex.org/A5090226977","https://openalex.org/A5140017892"],"corresponding_institution_ids":["https://openalex.org/I45084792","https://openalex.org/I93860229"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":{"value":2990,"currency":"USD","value_usd":2990},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.7833939,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"2","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":0.9894999861717224,"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":0.9894999861717224,"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/T11804","display_name":"Quantum many-body systems","score":0.0019000000320374966,"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/T11948","display_name":"Machine Learning in Materials Science","score":0.0010999999940395355,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ansatz","display_name":"Ansatz","score":0.8866000175476074},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.7487999796867371},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.4603999853134155},{"id":"https://openalex.org/keywords/adiabatic-quantum-computation","display_name":"Adiabatic quantum computation","score":0.4372999966144562},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.4352000057697296},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4097000062465668},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.3434000015258789}],"concepts":[{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.8866000175476074},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.7487999796867371},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6047000288963318},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.4603999853134155},{"id":"https://openalex.org/C192353077","wikidata":"https://www.wikidata.org/wiki/Q4682635","display_name":"Adiabatic quantum computation","level":4,"score":0.4372999966144562},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4352000057697296},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4189999997615814},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4097000062465668},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35280001163482666},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.3434000015258789},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.3328000009059906},{"id":"https://openalex.org/C41054515","wikidata":"https://www.wikidata.org/wiki/Q2000912","display_name":"Standard basis","level":2,"score":0.2994000017642975},{"id":"https://openalex.org/C19637589","wikidata":"https://www.wikidata.org/wiki/Q1117940","display_name":"Coupled cluster","level":3,"score":0.29409998655319214},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.28870001435279846},{"id":"https://openalex.org/C136864674","wikidata":"https://www.wikidata.org/wiki/Q477921","display_name":"Hamiltonian mechanics","level":3,"score":0.2825999855995178},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.28189998865127563},{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.27790001034736633},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.27320000529289246},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.26159998774528503}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s42484-026-00407-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42484-026-00407-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42484-026-00407-3.pdf","source":{"id":"https://openalex.org/S4210217596","display_name":"Quantum Machine Intelligence","issn_l":"2524-4906","issn":["2524-4906","2524-4914"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Machine Intelligence","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2507.22550","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2507.22550","pdf_url":"https://arxiv.org/pdf/2507.22550","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,"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-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:re.public.polimi.it:11311/1320609","is_oa":true,"landing_page_url":"https://hdl.handle.net/11311/1320609","pdf_url":"https://re.public.polimi.it/bitstream/11311/1320609/1/hamiltonian-expressibility-for-ansatz-selection-in-variational-quantum-algorithms.pdf","source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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/article"}],"best_oa_location":{"id":"doi:10.1007/s42484-026-00407-3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s42484-026-00407-3","pdf_url":"https://link.springer.com/content/pdf/10.1007/s42484-026-00407-3.pdf","source":{"id":"https://openalex.org/S4210217596","display_name":"Quantum Machine Intelligence","issn_l":"2524-4906","issn":["2524-4906","2524-4914"],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Machine Intelligence","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8273817300796509,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G5443090575","display_name":null,"funder_award_id":"PE 0000023","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G777498305","display_name":null,"funder_award_id":"PE0000023-NQSTI","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320310077","display_name":"National Research Centre","ror":"https://ror.org/02n85j827"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320322648","display_name":"Universit\u00e0 degli Studi di Firenze","ror":"https://ror.org/04jr1s763"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7167247825.pdf","grobid_xml":"https://content.openalex.org/works/W7167247825.grobid-xml"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W1451881698","https://openalex.org/W1641472573","https://openalex.org/W1981629484","https://openalex.org/W1985514943","https://openalex.org/W2000359198","https://openalex.org/W2005825070","https://openalex.org/W2021115151","https://openalex.org/W2078483536","https://openalex.org/W2114013702","https://openalex.org/W2161685427","https://openalex.org/W2171074980","https://openalex.org/W2188879252","https://openalex.org/W2257937122","https://openalex.org/W2537703961","https://openalex.org/W2562234976","https://openalex.org/W2564229214","https://openalex.org/W2755255888","https://openalex.org/W2773253140","https://openalex.org/W2781738013","https://openalex.org/W2790264742","https://openalex.org/W2794444783","https://openalex.org/W2796293949","https://openalex.org/W2898401615","https://openalex.org/W2904361085","https://openalex.org/W2906538035","https://openalex.org/W2945680873","https://openalex.org/W2954369586","https://openalex.org/W2957821713","https://openalex.org/W2972032089","https://openalex.org/W2990112601","https://openalex.org/W3026387229","https://openalex.org/W3026863321","https://openalex.org/W3095314523","https://openalex.org/W3097694950","https://openalex.org/W3107968153","https://openalex.org/W3108496771","https://openalex.org/W3111162498","https://openalex.org/W3118800713","https://openalex.org/W3121383614","https://openalex.org/W3149637861","https://openalex.org/W3156188855","https://openalex.org/W3166275705","https://openalex.org/W3185558259","https://openalex.org/W3205120504","https://openalex.org/W3205898699","https://openalex.org/W3207073666","https://openalex.org/W3209107739","https://openalex.org/W3209200610","https://openalex.org/W3212169067","https://openalex.org/W4206745400","https://openalex.org/W4214552167","https://openalex.org/W4220747861","https://openalex.org/W4281287768","https://openalex.org/W4307244186","https://openalex.org/W4317931583","https://openalex.org/W4327713021","https://openalex.org/W4361290988","https://openalex.org/W4387542025","https://openalex.org/W4388793082","https://openalex.org/W4388827484","https://openalex.org/W4389162614","https://openalex.org/W4392877631","https://openalex.org/W4396745888","https://openalex.org/W4409126690","https://openalex.org/W4415355671"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"In":[1,54],"the":[2,34,59,86,102,109],"context":[3],"of":[4,62,66],"Variational":[5,103],"Quantum":[6,104],"Algorithms":[7],"(VQAs),":[8],"selecting":[9],"an":[10],"appropriate":[11],"ansatz":[12,80,100],"is":[13],"crucial":[14],"for":[15,127,139,156,176,191],"efficient":[16],"problem-solving.":[17],"Hamiltonian":[18,40,60,133],"expressibility":[19,61,83,134,152,187],"has":[20],"been":[21],"introduced":[22],"as":[23],"a":[24,28,39,63,73,181],"metric":[25],"to":[26,31,69],"quantify":[27],"circuit\u2019s":[29],"ability":[30],"uniformly":[32],"explore":[33],"energy":[35],"landscape":[36],"associated":[37],"with":[38,131,141,150,178],"ground":[41],"state":[42,146,196],"search":[43],"problem.":[44],"However,":[45],"its":[46],"influence":[47],"on":[48],"solution":[49,112,137],"quality":[50,113,138],"remains":[51],"largely":[52],"unexplored.":[53],"this":[55],"work,":[56],"we":[57],"estimate":[58],"well-defined":[64],"set":[65],"circuits":[67,91,149,173],"applied":[68],"various":[70],"Hamiltonians":[71,143],"using":[72,101],"Monte":[74],"Carlo-based":[75],"approach.":[76],"We":[77,96],"analyse":[78,108],"how":[79],"depth":[81],"influences":[82],"and":[84,88,107,114,125,144],"identify":[85],"most":[87],"least":[89],"expressive":[90],"across":[92],"different":[93],"problem":[94],"types.":[95],"then":[97],"train":[98],"each":[99],"Eigensolver":[105],"(VQE)":[106],"correlation":[110],"between":[111],"expressibility.":[115],"Our":[116],"results":[117,190],"indicate":[118],"that,":[119],"under":[120],"ideal":[121],"or":[122],"low-noise":[123],"conditions":[124],"particularly":[126],"small-scale":[128],"problems,":[129],"ans\u00e4tze":[130],"high":[132],"yield":[135],"better":[136,189],"problems":[140,157,177,193],"non-diagonal":[142],"superposition":[145,195],"solutions.":[147,197],"Conversely,":[148],"low":[151],"are":[153,160],"more":[154],"effective":[155],"whose":[158],"solutions":[159,179],"basis":[161,183],"states,":[162],"including":[163],"those":[164],"defined":[165],"by":[166],"diagonal":[167],"Hamiltonians.":[168],"Under":[169],"noisy":[170],"conditions,":[171],"low-expressibility":[172],"remain":[174],"preferable":[175],"in":[180],"computational":[182],"state,":[184],"while":[185],"intermediate":[186],"yields":[188],"some":[192],"involving":[194]},"counts_by_year":[],"updated_date":"2026-08-05T07:39:15.569665","created_date":"2026-07-04T00:00:00"}