{"id":"https://openalex.org/W4309614088","doi":"https://doi.org/10.22331/q-2022-11-17-860","title":"Quantum simulation of real-space dynamics","display_name":"Quantum simulation of real-space dynamics","publication_year":2022,"publication_date":"2022-11-17","ids":{"openalex":"https://openalex.org/W4309614088","doi":"https://doi.org/10.22331/q-2022-11-17-860"},"language":"en","primary_location":{"id":"doi:10.22331/q-2022-11-17-860","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-11-17-860","pdf_url":"https://quantum-journal.org/papers/q-2022-11-17-860/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-2022-11-17-860/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018837979","display_name":"Andrew M. Childs","orcid":"https://orcid.org/0000-0002-9903-837X"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]},{"id":"https://openalex.org/I4210108409","display_name":"Joint Center for Quantum Information and Computer Science","ror":"https://ror.org/02048n894","country_code":"US","type":"facility","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065","https://openalex.org/I4210108409","https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andrew M. Childs","raw_affiliation_strings":["Department of Computer Science, University of Maryland","Joint Center for Quantum Information and Computer Science, University of Maryland"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Maryland","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Joint Center for Quantum Information and Computer Science, University of Maryland","institution_ids":["https://openalex.org/I4210108409"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066491355","display_name":"Jiaqi Leng","orcid":"https://orcid.org/0000-0002-9276-2832"},"institutions":[{"id":"https://openalex.org/I4210108409","display_name":"Joint Center for Quantum Information and Computer Science","ror":"https://ror.org/02048n894","country_code":"US","type":"facility","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065","https://openalex.org/I4210108409","https://openalex.org/I66946132"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiaqi Leng","raw_affiliation_strings":["Department of Mathematics, University of Maryland","Joint Center for Quantum Information and Computer Science, University of Maryland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Maryland","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Joint Center for Quantum Information and Computer Science, University of Maryland","institution_ids":["https://openalex.org/I4210108409"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101509600","display_name":"Tongyang Li","orcid":"https://orcid.org/0000-0002-0338-413X"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]},{"id":"https://openalex.org/I4210145836","display_name":"Center for Theoretical Biological Physics","ror":"https://ror.org/04hfg7v94","country_code":"US","type":"facility","lineage":["https://openalex.org/I12912129","https://openalex.org/I181547552","https://openalex.org/I2801539370","https://openalex.org/I4210145836","https://openalex.org/I44461941","https://openalex.org/I74775410"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN","US"],"is_corresponding":false,"raw_author_name":"Tongyang Li","raw_affiliation_strings":["Center for Theoretical Physics, Massachusetts Institute of Technology","Center on Frontiers of Computing Studies, Peking University","School of Computer Science, Peking University"],"affiliations":[{"raw_affiliation_string":"Center for Theoretical Physics, Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I4210145836","https://openalex.org/I63966007"]},{"raw_affiliation_string":"Center on Frontiers of Computing Studies, Peking University","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"School of Computer Science, Peking University","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100619669","display_name":"Jinpeng Liu","orcid":"https://orcid.org/0000-0001-6070-7743"},"institutions":[{"id":"https://openalex.org/I4210108409","display_name":"Joint Center for Quantum Information and Computer Science","ror":"https://ror.org/02048n894","country_code":"US","type":"facility","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065","https://openalex.org/I4210108409","https://openalex.org/I66946132"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jin-Peng Liu","raw_affiliation_strings":["Department of Mathematics, University of Maryland","Joint Center for Quantum Information and Computer Science, University of Maryland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Maryland","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Joint Center for Quantum Information and Computer Science, University of Maryland","institution_ids":["https://openalex.org/I4210108409"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054109702","display_name":"Chenyi Zhang","orcid":"https://orcid.org/0000-0002-3054-5883"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chenyi Zhang","raw_affiliation_strings":["Institute for Interdisciplinary Information Sciences, Tsinghua University"],"affiliations":[{"raw_affiliation_string":"Institute for Interdisciplinary Information Sciences, Tsinghua University","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5018837979"],"corresponding_institution_ids":["https://openalex.org/I4210108409","https://openalex.org/I66946132"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":3.3307,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.93183541,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"6","issue":null,"first_page":"860","last_page":"860"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9926000237464905,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9883999824523926,"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/algorithm","display_name":"Algorithm","score":0.5635330080986023},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.348452627658844},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34595388174057007}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5635330080986023},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.348452627658844},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34595388174057007}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2022-11-17-860","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-11-17-860","pdf_url":"https://quantum-journal.org/papers/q-2022-11-17-860/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:osti.gov:2424576","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/2424576","pdf_url":"https://www.osti.gov/servlets/purl/2424576","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:doaj.org/article:9a17bef1639a43c985957a582ac8a389","is_oa":true,"landing_page_url":"https://doaj.org/article/9a17bef1639a43c985957a582ac8a389","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 6, p 860 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2022-11-17-860","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-11-17-860","pdf_url":"https://quantum-journal.org/papers/q-2022-11-17-860/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":[],"awards":[{"id":"https://openalex.org/G107522343","display_name":null,"funder_award_id":"1818914","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1447577961","display_name":null,"funder_award_id":"CCF-1816695","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1938338418","display_name":null,"funder_award_id":"OMA-2120757","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G2697164521","display_name":null,"funder_award_id":"2120757","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3922263851","display_name":"AF: Small: Provable Quantum Advantages in Optimization","funder_award_id":"1816695","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4020565512","display_name":null,"funder_award_id":"CCF-1813814","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G4800547303","display_name":null,"funder_award_id":"1747426","funder_id":"https://openalex.org/F4320337367","funder_display_name":"Division of Materials Research"},{"id":"https://openalex.org/G4944074465","display_name":null,"funder_award_id":"1747426","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5120531174","display_name":null,"funder_award_id":"OMA-2120757","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5298095028","display_name":null,"funder_award_id":"DMR-1747426","funder_id":"https://openalex.org/F4320337367","funder_display_name":"Division of Materials Research"},{"id":"https://openalex.org/G6116963495","display_name":null,"funder_award_id":"Global Research Partnership","funder_id":"https://openalex.org/F4320315121","funder_display_name":"Samsung Advanced Institute of Technology"},{"id":"https://openalex.org/G6552274349","display_name":null,"funder_award_id":"1818914","funder_id":"https://openalex.org/F4320315121","funder_display_name":"Samsung Advanced Institute of Technology"},{"id":"https://openalex.org/G6755165505","display_name":null,"funder_award_id":"award","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G741232289","display_name":null,"funder_award_id":"DMR-1747426","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7953393751","display_name":null,"funder_award_id":"PHY-1818914","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8374739513","display_name":null,"funder_award_id":"CCF-1813814","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8396343115","display_name":null,"funder_award_id":"1813814","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8471683537","display_name":null,"funder_award_id":"Startup fund","funder_id":"https://openalex.org/F4320324787","funder_display_name":"Peking University"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","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/F4320315121","display_name":"Samsung Advanced Institute of Technology","ror":null},{"id":"https://openalex.org/F4320324787","display_name":"Peking University","ror":"https://ror.org/02v51f717"},{"id":"https://openalex.org/F4320332195","display_name":"Samsung","ror":"https://ror.org/04w3jy968"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337367","display_name":"Division of Materials Research","ror":"https://ror.org/01pc7k308"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4309614088.pdf","grobid_xml":"https://content.openalex.org/works/W4309614088.grobid-xml"},"referenced_works_count":74,"referenced_works":["https://openalex.org/W1658890454","https://openalex.org/W1786071147","https://openalex.org/W1966702987","https://openalex.org/W1982899292","https://openalex.org/W1998217267","https://openalex.org/W2015711858","https://openalex.org/W2037118799","https://openalex.org/W2040792108","https://openalex.org/W2052891002","https://openalex.org/W2062738866","https://openalex.org/W2062938319","https://openalex.org/W2064906820","https://openalex.org/W2068306188","https://openalex.org/W2083206954","https://openalex.org/W2094633476","https://openalex.org/W2097174474","https://openalex.org/W2103373613","https://openalex.org/W2112813087","https://openalex.org/W2135246499","https://openalex.org/W2179731956","https://openalex.org/W2332630497","https://openalex.org/W2349487082","https://openalex.org/W2514611406","https://openalex.org/W2535738892","https://openalex.org/W2596222113","https://openalex.org/W2600825956","https://openalex.org/W2618676735","https://openalex.org/W2620582212","https://openalex.org/W2775106578","https://openalex.org/W2783316621","https://openalex.org/W2805612073","https://openalex.org/W2890327304","https://openalex.org/W2892013755","https://openalex.org/W2901441600","https://openalex.org/W2901677314","https://openalex.org/W2906538035","https://openalex.org/W2950522577","https://openalex.org/W2951814536","https://openalex.org/W2986557571","https://openalex.org/W2990442724","https://openalex.org/W2995050112","https://openalex.org/W2999629616","https://openalex.org/W3008698147","https://openalex.org/W3043352791","https://openalex.org/W3045800111","https://openalex.org/W3094595762","https://openalex.org/W3098646535","https://openalex.org/W3098852652","https://openalex.org/W3099200606","https://openalex.org/W3099473185","https://openalex.org/W3101201397","https://openalex.org/W3101417641","https://openalex.org/W3101631536","https://openalex.org/W3101824094","https://openalex.org/W3101979941","https://openalex.org/W3102161549","https://openalex.org/W3104433882","https://openalex.org/W3105081351","https://openalex.org/W3106047133","https://openalex.org/W3112648718","https://openalex.org/W3137824625","https://openalex.org/W3165710867","https://openalex.org/W3182253249","https://openalex.org/W3182682156","https://openalex.org/W3184837229","https://openalex.org/W3185552024","https://openalex.org/W3193498715","https://openalex.org/W3204708751","https://openalex.org/W3213044520","https://openalex.org/W4224096378","https://openalex.org/W4238885544","https://openalex.org/W4255257784","https://openalex.org/W4283013854","https://openalex.org/W4301866048"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4396696052"],"abstract_inverted_index":{"Quantum":[0],"simulation":[1,238,248],"is":[2,11,20,77,213],"a":[3,30,44,250,255,259],"prominent":[4],"application":[5],"of":[6,33,43,87,98,156,239,244,249],"quantum":[7,23,240,260],"computers.":[8],"While":[9],"there":[10],"extensive":[12],"previous":[13,105],"work":[14],"on":[15,112,137],"simulating":[16],"finite-dimensional":[17],"systems,":[18],"less":[19],"known":[21,146],"about":[22],"algorithms":[24],"for":[25,247,262],"real-space":[26,237],"dynamics.":[27],"We":[28,228],"conduct":[29],"systematic":[31],"study":[32],"such":[34],"algorithms.":[35],"In":[36],"particular,":[37],"we":[38,159],"show":[39],"that":[40],"the":[41,78,84,88,95,99,103,110,135,154,214,218,224],"dynamics":[42],"<mml:math":[45,50,59,75,81,92,113,116,119,125,138,141,151,164,186,211,220],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>d</mml:mi></mml:math>-dimensional":[46],"Schr\u00f6dinger":[47],"equation":[48],"with":[49,56,148],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>&amp;#x03B7;</mml:mi></mml:math>":[51],"particles":[52],"can":[53],"be":[54],"simulated":[55],"gate":[57],"complexity":[58],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow":[60],"class=\"MJX-TeXAtom-ORD\"><mml:mover><mml:mi>O</mml:mi><mml:mo":[61],"stretchy=\"false\">&amp;#x007E;</mml:mo></mml:mover></mml:mrow><mml:mrow":[62],"class=\"MJX-TeXAtom-OPEN\"><mml:mo":[63],"maxsize=\"1.2em\"":[64,72],"minsize=\"1.2em\">(</mml:mo></mml:mrow><mml:mi>&amp;#x03B7;</mml:mi><mml:mi>d</mml:mi><mml:mi>F</mml:mi><mml:mtext>poly</mml:mtext><mml:mo":[65],"stretchy=\"false\">(</mml:mo><mml:mi>log</mml:mi><mml:mo>&amp;#x2061;</mml:mo><mml:mo":[66,127,169,193],"stretchy=\"false\">(</mml:mo><mml:msup><mml:mi>g</mml:mi><mml:mo>&amp;#x2032;</mml:mo></mml:msup><mml:mrow":[67,121,128],"class=\"MJX-TeXAtom-ORD\"><mml:mo>/</mml:mo></mml:mrow><mml:mi>&amp;#x03F5;</mml:mi><mml:mo":[68,122,129],"stretchy=\"false\">)</mml:mo><mml:mo":[69,130,174,175,198,199],"stretchy=\"false\">)</mml:mo><mml:mrow":[70,176,190,200],"class=\"MJX-TeXAtom-CLOSE\"><mml:mo":[71],"minsize=\"1.2em\">)</mml:mo></mml:mrow></mml:math>,":[73],"where":[74,210],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>&amp;#x03F5;</mml:mi></mml:math>":[76,114],"discretization":[79,245],"error,":[80],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msup><mml:mi>g</mml:mi><mml:mo>&amp;#x2032;</mml:mo></mml:msup></mml:math>":[82,117],"controls":[83],"higher-order":[85],"derivatives":[86],"wave":[89],"function,":[90],"and":[91,115,132,140,180,183,204,207,217,254],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>F</mml:mi></mml:math>":[93],"measures":[94],"time-integrated":[96],"strength":[97],"potential.":[100],"Compared":[101],"to":[102,124,150,231,258],"best":[104,145],"results,":[106],"this":[107],"exponentially":[108],"improves":[109,134],"dependence":[111,136],"from":[118],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mtext>poly</mml:mtext><mml:mo":[120,126],"stretchy=\"false\">)</mml:mo></mml:math>":[123,131],"polynomially":[133],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>T</mml:mi></mml:math>":[139,212],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>d</mml:mi></mml:math>,":[142],"while":[143],"maintaining":[144],"performance":[147],"respect":[149],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>&amp;#x03B7;</mml:mi></mml:math>.":[152],"For":[153],"case":[155],"Coulomb":[157,226],"interactions,":[158],"give":[160,229],"an":[161],"algorithm":[162,261],"using":[163,185],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msup><mml:mi>&amp;#x03B7;</mml:mi><mml:mrow":[165,187],"class=\"MJX-TeXAtom-ORD\"><mml:mn>3</mml:mn></mml:mrow></mml:msup><mml:mo":[166,188],"stretchy=\"false\">(</mml:mo><mml:mi>d</mml:mi><mml:mo>+</mml:mo><mml:mi>&amp;#x03B7;</mml:mi><mml:mo":[167],"stretchy=\"false\">)</mml:mo><mml:mi>T</mml:mi><mml:mtext>poly</mml:mtext><mml:mo":[168],"stretchy=\"false\">(</mml:mo><mml:mi>&amp;#x03B7;</mml:mi><mml:mi>d</mml:mi><mml:mi>T</mml:mi><mml:msup><mml:mi>g</mml:mi><mml:mo>&amp;#x2032;</mml:mo></mml:msup><mml:mrow":[170,194],"class=\"MJX-TeXAtom-ORD\"><mml:mo>/</mml:mo></mml:mrow><mml:mo":[171,195],"stretchy=\"false\">(</mml:mo><mml:mi":[172,196],"mathvariant=\"normal\">&amp;#x0394;</mml:mi><mml:mi>&amp;#x03F5;</mml:mi><mml:mo":[173,197],"class=\"MJX-TeXAtom-ORD\"><mml:mo>/</mml:mo></mml:mrow><mml:mi":[177,201],"mathvariant=\"normal\">&amp;#x0394;</mml:mi></mml:math>":[178,202,222],"one-":[179,203],"two-qubit":[181,205],"gates,":[182],"another":[184],"stretchy=\"false\">(</mml:mo><mml:mn>4</mml:mn><mml:mi>d</mml:mi><mml:msup><mml:mo":[189],"class=\"MJX-TeXAtom-ORD\"><mml:mi>d</mml:mi><mml:mrow":[191],"class=\"MJX-TeXAtom-ORD\"><mml:mo>/</mml:mo></mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mi>T</mml:mi><mml:mtext>poly</mml:mtext><mml:mo":[192],"gates":[206],"QRAM":[208],"operations,":[209],"evolution":[215],"time":[216],"parameter":[219],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi":[221],"regulates":[223],"unbounded":[225],"interaction.":[227],"applications":[230],"several":[232],"computational":[233],"problems,":[234],"including":[235],"faster":[236],"chemistry,":[241],"rigorous":[242],"analysis":[243],"error":[246],"uniform":[251],"electron":[252],"gas,":[253],"quadratic":[256],"improvement":[257],"escaping":[263],"saddle":[264],"points":[265],"in":[266],"nonconvex":[267],"optimization.":[268]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}