{"id":"https://openalex.org/W4400294954","doi":"https://doi.org/10.22331/q-2024-07-03-1395","title":"On the practical usefulness of the Hardware Efficient Ansatz","display_name":"On the practical usefulness of the Hardware Efficient Ansatz","publication_year":2024,"publication_date":"2024-07-03","ids":{"openalex":"https://openalex.org/W4400294954","doi":"https://doi.org/10.22331/q-2024-07-03-1395"},"language":"en","primary_location":{"id":"doi:10.22331/q-2024-07-03-1395","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-07-03-1395","pdf_url":"https://quantum-journal.org/papers/q-2024-07-03-1395/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"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","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2024-07-03-1395/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076046686","display_name":"Lorenzo Leone","orcid":"https://orcid.org/0000-0002-0334-7419"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]},{"id":"https://openalex.org/I33434090","display_name":"University of Massachusetts Boston","ror":"https://ror.org/04ydmy275","country_code":"US","type":"education","lineage":["https://openalex.org/I33434090"]},{"id":"https://openalex.org/I75951250","display_name":"Freie Universit\u00e4t Berlin","ror":"https://ror.org/046ak2485","country_code":"DE","type":"education","lineage":["https://openalex.org/I75951250"]}],"countries":["DE","US"],"is_corresponding":false,"raw_author_name":"Lorenzo Leone","raw_affiliation_strings":["Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA","Dahlem Center for Complex Quantum Systems, Freie Universit\u00e4t Berlin, 14195 Berlin, Germany","Physics Department, University of Massachusetts Boston, Boston, Massachusetts 02125, USA","Theoretical Division (T-4), Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA"],"raw_orcid":"https://orcid.org/0000-0002-0334-7419","affiliations":[{"raw_affiliation_string":"Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA","institution_ids":["https://openalex.org/I1343871089"]},{"raw_affiliation_string":"Dahlem Center for Complex Quantum Systems, Freie Universit\u00e4t Berlin, 14195 Berlin, Germany","institution_ids":["https://openalex.org/I75951250"]},{"raw_affiliation_string":"Physics Department, University of Massachusetts Boston, Boston, Massachusetts 02125, USA","institution_ids":["https://openalex.org/I33434090"]},{"raw_affiliation_string":"Theoretical Division (T-4), Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034539197","display_name":"Salvatore F. E. Oliviero","orcid":"https://orcid.org/0000-0003-3569-085X"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]},{"id":"https://openalex.org/I33434090","display_name":"University of Massachusetts Boston","ror":"https://ror.org/04ydmy275","country_code":"US","type":"education","lineage":["https://openalex.org/I33434090"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Salvatore F.E. Oliviero","raw_affiliation_strings":["Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA","Physics Department, University of Massachusetts Boston, Boston, Massachusetts 02125, USA","Theoretical Division (T-4), Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA"],"raw_orcid":"https://orcid.org/0000-0003-3569-085X","affiliations":[{"raw_affiliation_string":"Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA","institution_ids":["https://openalex.org/I1343871089"]},{"raw_affiliation_string":"Physics Department, University of Massachusetts Boston, Boston, Massachusetts 02125, USA","institution_ids":["https://openalex.org/I33434090"]},{"raw_affiliation_string":"Theoretical Division (T-4), Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022166378","display_name":"\u0141ukasz Cincio","orcid":"https://orcid.org/0000-0002-6758-4376"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lukasz Cincio","raw_affiliation_strings":["Theoretical Division (T-4), Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA"],"raw_orcid":"https://orcid.org/0000-0002-6758-4376","affiliations":[{"raw_affiliation_string":"Theoretical Division (T-4), Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA","institution_ids":["https://openalex.org/I1343871089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074921335","display_name":"M. Cerezo","orcid":"https://orcid.org/0000-0002-2757-3170"},"institutions":[{"id":"https://openalex.org/I1343871089","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I1343871089","https://openalex.org/I198811213","https://openalex.org/I4210120050"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Cerezo","raw_affiliation_strings":["Information Sciences, Los Alamos National Laboratory, Los Alamos, NM 87545, USA"],"raw_orcid":"https://orcid.org/0000-0002-2757-3170","affiliations":[{"raw_affiliation_string":"Information Sciences, Los Alamos National Laboratory, Los Alamos, NM 87545, USA","institution_ids":["https://openalex.org/I1343871089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":18.5359,"has_fulltext":true,"cited_by_count":62,"citation_normalized_percentile":{"value":0.99452673,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"8","issue":null,"first_page":"1395","last_page":"1395"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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":1.0,"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":0.9980999827384949,"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/T10558","display_name":"Advancements in Semiconductor Devices and Circuit Design","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/ansatz","display_name":"Ansatz","score":0.8929572105407715},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6129870414733887},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5768138766288757},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.5593419671058655},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.49353325366973877},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.4540548622608185},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.44579458236694336},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.44229912757873535},{"id":"https://openalex.org/keywords/quantum-circuit","display_name":"Quantum circuit","score":0.4171532392501831},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4030858278274536},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2674296796321869},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.2357378900051117},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.19952437281608582},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1835763156414032},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.17866405844688416},{"id":"https://openalex.org/keywords/quantum-network","display_name":"Quantum network","score":0.17852288484573364},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.11993569135665894}],"concepts":[{"id":"https://openalex.org/C130979935","wikidata":"https://www.wikidata.org/wiki/Q568954","display_name":"Ansatz","level":2,"score":0.8929572105407715},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6129870414733887},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5768138766288757},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.5593419671058655},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.49353325366973877},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.4540548622608185},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.44579458236694336},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.44229912757873535},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.4171532392501831},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4030858278274536},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2674296796321869},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.2357378900051117},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19952437281608582},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1835763156414032},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17866405844688416},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.17852288484573364},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.11993569135665894}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2024-07-03-1395","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-07-03-1395","pdf_url":"https://quantum-journal.org/papers/q-2024-07-03-1395/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"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","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9fbee82ef5664b5db9a266a4727bd350","is_oa":false,"landing_page_url":"https://doaj.org/article/9fbee82ef5664b5db9a266a4727bd350","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 8, p 1395 (2024)","raw_type":"article"},{"id":"pmh:oai:osti.gov:2391064","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/2391064","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null},{"id":"pmh:oai:osti.gov:2500882","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/2500882","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"doi:10.22331/q-2024-07-03-1395","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-07-03-1395","pdf_url":"https://quantum-journal.org/papers/q-2024-07-03-1395/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"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","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5,"display_name":"Peace, Justice and strong institutions"},{"id":"https://metadata.un.org/sdg/10","score":0.4399999976158142,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G1870943713","display_name":null,"funder_award_id":"20230049DR","funder_id":"https://openalex.org/F4320338304","funder_display_name":"Los Alamos National Laboratory"},{"id":"https://openalex.org/G3567291050","display_name":null,"funder_award_id":"2014000","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320338304","display_name":"Los Alamos National Laboratory","ror":"https://ror.org/01e41cf67"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4400294954.pdf","grobid_xml":"https://content.openalex.org/works/W4400294954.grobid-xml"},"referenced_works_count":100,"referenced_works":["https://openalex.org/W1826324575","https://openalex.org/W1985692219","https://openalex.org/W2005403970","https://openalex.org/W2021115151","https://openalex.org/W2033368244","https://openalex.org/W2054381333","https://openalex.org/W2094810855","https://openalex.org/W2096391265","https://openalex.org/W2122816100","https://openalex.org/W2151554678","https://openalex.org/W2161685427","https://openalex.org/W2247548592","https://openalex.org/W2290336547","https://openalex.org/W2508304031","https://openalex.org/W2559394418","https://openalex.org/W2591046212","https://openalex.org/W2688070744","https://openalex.org/W2754868542","https://openalex.org/W2755255888","https://openalex.org/W2781738013","https://openalex.org/W2790388700","https://openalex.org/W2794444783","https://openalex.org/W2798434869","https://openalex.org/W2798745388","https://openalex.org/W2811032035","https://openalex.org/W2891685619","https://openalex.org/W2896712926","https://openalex.org/W2903221501","https://openalex.org/W2922946882","https://openalex.org/W2937979359","https://openalex.org/W2954939433","https://openalex.org/W2963239445","https://openalex.org/W2963370031","https://openalex.org/W2972228381","https://openalex.org/W2982169647","https://openalex.org/W2990112601","https://openalex.org/W3015289174","https://openalex.org/W3015667706","https://openalex.org/W3030829226","https://openalex.org/W3034033217","https://openalex.org/W3037687804","https://openalex.org/W3047776431","https://openalex.org/W3098218983","https://openalex.org/W3098268180","https://openalex.org/W3098400458","https://openalex.org/W3098599423","https://openalex.org/W3100931082","https://openalex.org/W3103438630","https://openalex.org/W3103713775","https://openalex.org/W3103715576","https://openalex.org/W3104288617","https://openalex.org/W3104396616","https://openalex.org/W3105877772","https://openalex.org/W3106051480","https://openalex.org/W3109325270","https://openalex.org/W3111162498","https://openalex.org/W3112014248","https://openalex.org/W3112352587","https://openalex.org/W3114970264","https://openalex.org/W3118800713","https://openalex.org/W3121441853","https://openalex.org/W3123208069","https://openalex.org/W3128914570","https://openalex.org/W3129110052","https://openalex.org/W3131645664","https://openalex.org/W3136233239","https://openalex.org/W3138384191","https://openalex.org/W3139324907","https://openalex.org/W3148001159","https://openalex.org/W3156188855","https://openalex.org/W3157041929","https://openalex.org/W3158211506","https://openalex.org/W3160687977","https://openalex.org/W3165717557","https://openalex.org/W3173899054","https://openalex.org/W3183968998","https://openalex.org/W3198606649","https://openalex.org/W3203438054","https://openalex.org/W3206088030","https://openalex.org/W3206451759","https://openalex.org/W3207697613","https://openalex.org/W3209107739","https://openalex.org/W3211718387","https://openalex.org/W3213462913","https://openalex.org/W4212821541","https://openalex.org/W4213212652","https://openalex.org/W4229000948","https://openalex.org/W4281891658","https://openalex.org/W4296126438","https://openalex.org/W4296794220","https://openalex.org/W4312205400","https://openalex.org/W4313462631","https://openalex.org/W4327713021","https://openalex.org/W4376609818","https://openalex.org/W4379091939","https://openalex.org/W4388793082","https://openalex.org/W4389659793","https://openalex.org/W4391091909","https://openalex.org/W4396668596","https://openalex.org/W6742725023"],"related_works":["https://openalex.org/W4320032436","https://openalex.org/W4226238793","https://openalex.org/W4221159722","https://openalex.org/W4309028366","https://openalex.org/W3203550463","https://openalex.org/W4281550036","https://openalex.org/W1641472573","https://openalex.org/W4375959436","https://openalex.org/W2906136444","https://openalex.org/W2037426566"],"abstract_inverted_index":{"Variational":[0],"Quantum":[1,5],"Algorithms":[2],"(VQAs)":[3],"and":[4,65,178,191],"Machine":[6],"Learning":[7],"(QML)":[8],"models":[9],"train":[10],"a":[11,17,74,113,134,143,151,185,215,219],"parametrized":[12,216],"quantum":[13,35,152,217],"circuit":[14],"to":[15,54,104],"solve":[16],"given":[18],"learning":[19],"task.":[20],"The":[21,67],"success":[22],"of":[23,39,58,69,137,162,197,214],"these":[24,183],"algorithms":[25],"greatly":[26],"hinges":[27],"on":[28],"appropriately":[29],"choosing":[30],"an":[31,159,195],"ansatz":[32],"for":[33,167],"the":[34,40,45,56,79,204,212],"circuit.":[36],"Perhaps":[37],"one":[38,107],"most":[41],"famous":[42],"ansatzes":[43],"is":[44,188,222],"one-dimensional":[46],"layered":[47],"Hardware":[48],"Efficient":[49],"Ansatz":[50],"(HEA),":[51],"which":[52],"seeks":[53],"minimize":[55],"effect":[57],"hardware":[59],"noise":[60],"by":[61],"using":[62],"native":[63],"gates":[64],"connectives.":[66],"use":[68,112],"this":[70,100],"HEA":[71,187],"has":[72],"generated":[73],"certain":[75],"ambivalence":[76],"arising":[77],"from":[78,85],"fact":[80],"that":[81,181,192,207,221],"while":[82],"it":[83,91],"suffers":[84],"barren":[86],"plateaus":[87],"at":[88,96],"long":[89],"depths,":[90],"can":[92],"also":[93],"avoid":[94],"them":[95],"shallow":[97,120,147,186],"ones.":[98],"In":[99],"work,":[101],"we":[102,141,179],"attempt":[103],"determine":[105],"whether":[106],"should,":[108],"or":[109,128],"should":[110,122],"not,":[111],"HEA.":[114],"We":[115,164],"rigorously":[116],"identify":[117,142],"scenarios":[118],"where":[119,146],"HEAs":[121,148],"likely":[123],"be":[124],"avoided":[125],"(e.g.,":[126],"VQA":[127],"QML":[129,154],"tasks":[130,155],"with":[131,156],"data":[132,157],"satisfying":[133,158],"volume":[135],"law":[136,161],"entanglement).":[138],"More":[139],"importantly,":[140],"Goldilocks":[144],"scenario":[145,169],"could":[149],"achieve":[150],"speedup:":[153],"area":[160],"entanglement.":[163],"provide":[165],"examples":[166],"such":[168],"(such":[170],"as":[171],"Gaussian":[172],"diagonal":[173],"ensemble":[174],"random":[175],"Hamiltonian":[176],"discrimination),":[177],"show":[180],"in":[182,211,224],"cases":[184],"always":[189],"trainable":[190],"there":[193],"exists":[194],"anti-concentration":[196],"loss":[198],"function":[199],"values.":[200],"Our":[201],"work":[202],"highlights":[203],"crucial":[205],"role":[206],"input":[208],"states":[209],"play":[210],"trainability":[213],"circuit,":[218],"phenomenon":[220],"verified":[223],"our":[225],"numerics.":[226]},"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":32},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-14T07:44:22.658603","created_date":"2025-10-10T00:00:00"}