{"id":"https://openalex.org/W4286219792","doi":"https://doi.org/10.1103/prxquantum.3.030310","title":"Conditions for Equivalent Noise Sensitivity of Geometric and Dynamical Quantum Gates","display_name":"Conditions for Equivalent Noise Sensitivity of Geometric and Dynamical Quantum Gates","publication_year":2022,"publication_date":"2022-07-19","ids":{"openalex":"https://openalex.org/W4286219792","doi":"https://doi.org/10.1103/prxquantum.3.030310","mag":"3160974922"},"language":"en","primary_location":{"id":"doi:10.1103/prxquantum.3.030310","doi":"https://doi.org/10.1103/prxquantum.3.030310","is_oa":true,"landing_page_url":"https://doi.org/10.1103/prxquantum.3.030310","pdf_url":"http://link.aps.org/pdf/10.1103/PRXQuantum.3.030310","source":{"id":"https://openalex.org/S4210195673","display_name":"PRX Quantum","issn_l":"2691-3399","issn":["2691-3399"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","norway-1","oarl","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PRX Quantum","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://link.aps.org/pdf/10.1103/PRXQuantum.3.030310","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010620398","display_name":"Ralph Kenneth Colmenar","orcid":"https://orcid.org/0000-0003-4370-4887","observed_orcids":["https://orcid.org/0000-0003-4370-4887"]},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"R. K. L. Colmenar","raw_affiliation_strings":["Department of Physics, University of Maryland Baltimore County, Baltimore, Maryland 21250, USA"],"raw_orcid":"https://orcid.org/0000-0003-4370-4887","affiliations":[{"raw_affiliation_string":"Department of Physics, University of Maryland Baltimore County, Baltimore, Maryland 21250, USA","institution_ids":["https://openalex.org/I79272384"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074535654","display_name":"Utkan G\u00fcng\u00f6rd\u00fc","orcid":"https://orcid.org/0000-0002-4256-1274","observed_orcids":["https://orcid.org/0000-0002-4256-1274"]},"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/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Utkan G\u00fcng\u00f6rd\u00fc","raw_affiliation_strings":["Department of Physics, University of Maryland Baltimore County, Baltimore, Maryland 21250, USA","Department of Physics, University of Maryland, College Park, Maryland 20742, USA","Laboratory for Physical Sciences, College Park, Maryland 20740, USA"],"raw_orcid":"https://orcid.org/0000-0002-4256-1274","affiliations":[{"raw_affiliation_string":"Department of Physics, University of Maryland Baltimore County, Baltimore, Maryland 21250, USA","institution_ids":["https://openalex.org/I79272384"]},{"raw_affiliation_string":"Department of Physics, University of Maryland, College Park, Maryland 20742, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Laboratory for Physical Sciences, College Park, Maryland 20740, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083115196","display_name":"J. P. Kestner","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I79272384","display_name":"University of Maryland, Baltimore County","ror":"https://ror.org/02qskvh78","country_code":"US","type":"education","lineage":["https://openalex.org/I79272384"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. P. Kestner","raw_affiliation_strings":["Department of Physics, University of Maryland Baltimore County, Baltimore, Maryland 21250, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Maryland Baltimore County, Baltimore, Maryland 21250, USA","institution_ids":["https://openalex.org/I79272384"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010620398"],"corresponding_institution_ids":["https://openalex.org/I79272384"],"apc_list":{"value":3450,"currency":"USD","value_usd":3450},"apc_paid":{"value":3450,"currency":"USD","value_usd":3450},"fwci":0.5975,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.63853135,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"3","issue":"3","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":0.9839000105857849,"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":0.9839000105857849,"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":0.01140000019222498,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.0024999999441206455,"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/geometric-quantum-gates","display_name":"geometric quantum gates","score":0.9940000176429749},{"id":"https://openalex.org/keywords/noise-sensitivity","display_name":"noise sensitivity","score":0.984000027179718},{"id":"https://openalex.org/keywords/filter-functions","display_name":"filter functions","score":0.9490000009536743},{"id":"https://openalex.org/keywords/dynamical-invariants","display_name":"dynamical invariants","score":0.9649999737739563},{"id":"https://openalex.org/keywords/single-qubit-gates","display_name":"single-qubit gates","score":0.7630000114440918}],"concepts":[{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.4676363468170166},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.4628305733203888},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4495382308959961},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.43944358825683594},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43161436915397644},{"id":"https://openalex.org/C169460222","wikidata":"https://www.wikidata.org/wiki/Q1206311","display_name":"Quantum logic","level":4,"score":0.4236519932746887},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3815633952617645},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36853861808776855},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.25755202770233154},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.24830004572868347},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1103/prxquantum.3.030310","doi":"https://doi.org/10.1103/prxquantum.3.030310","is_oa":true,"landing_page_url":"https://doi.org/10.1103/prxquantum.3.030310","pdf_url":"http://link.aps.org/pdf/10.1103/PRXQuantum.3.030310","source":{"id":"https://openalex.org/S4210195673","display_name":"PRX Quantum","issn_l":"2691-3399","issn":["2691-3399"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","norway-1","oarl","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PRX Quantum","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2105.02882","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2105.02882","pdf_url":"https://arxiv.org/pdf/2105.02882","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":"pmh:oai:mdsoar.org:11603/25272","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/11603/25272","pdf_url":"https://mdsoar.org/bitstreams/034f2ca6-5f92-42ff-9b4c-8282c1eddcf9/download","source":{"id":"https://openalex.org/S4306402556","display_name":"Maryland Shared Open Access Repository (USMAI Consortium)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"mag:3160974922","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2105.02882.pdf","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:doaj.org/article:4fe8eb40ddf3410d837311d09338b109","doi":null,"is_oa":true,"landing_page_url":"https://doaj.org/article/4fe8eb40ddf3410d837311d09338b109","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,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"PRX Quantum, Vol 3, Iss 3, p 030310 (2022)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2105.02882","doi":"https://doi.org/10.48550/arxiv.2105.02882","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2105.02882","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.13016/m2jald-vlft","doi":"https://doi.org/10.13016/m2jald-vlft","is_oa":true,"landing_page_url":"https://doi.org/10.13016/m2jald-vlft","pdf_url":null,"source":{"id":"https://openalex.org/S4306402644","display_name":"Digital Repository at the University of Maryland (University of Maryland College Park)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I66946132","host_organization_name":"University of Maryland, College Park","host_organization_lineage":["https://openalex.org/I66946132"],"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":null}],"best_oa_location":{"id":"doi:10.1103/prxquantum.3.030310","doi":"https://doi.org/10.1103/prxquantum.3.030310","is_oa":true,"landing_page_url":"https://doi.org/10.1103/prxquantum.3.030310","pdf_url":"http://link.aps.org/pdf/10.1103/PRXQuantum.3.030310","source":{"id":"https://openalex.org/S4210195673","display_name":"PRX Quantum","issn_l":"2691-3399","issn":["2691-3399"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-a","jufo-2","norway-1","oarl","poland-20","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"PRX Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1973925298","display_name":"Dynamically Corrected Nonadiabatic Geometric Quantum Logic Gates","funder_award_id":"1915064","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3141641755","display_name":null,"funder_award_id":"W911NF-17","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G3145036303","display_name":null,"funder_award_id":"W911NF-17-1-0287","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4286219792.pdf","grobid_xml":"https://content.openalex.org/works/W4286219792.grobid-xml"},"referenced_works_count":84,"referenced_works":["https://openalex.org/W294712219","https://openalex.org/W1484801109","https://openalex.org/W1557190042","https://openalex.org/W1571552325","https://openalex.org/W1598377025","https://openalex.org/W1915315014","https://openalex.org/W1963734567","https://openalex.org/W1964683652","https://openalex.org/W1969993883","https://openalex.org/W1971397414","https://openalex.org/W1973007237","https://openalex.org/W1978064109","https://openalex.org/W1980090981","https://openalex.org/W1983447135","https://openalex.org/W1989878472","https://openalex.org/W1990997025","https://openalex.org/W1996271449","https://openalex.org/W2005378251","https://openalex.org/W2007441375","https://openalex.org/W2008791564","https://openalex.org/W2019376066","https://openalex.org/W2020487227","https://openalex.org/W2024245249","https://openalex.org/W2025206681","https://openalex.org/W2032147770","https://openalex.org/W2033047360","https://openalex.org/W2040497983","https://openalex.org/W2040557797","https://openalex.org/W2041654675","https://openalex.org/W2042165718","https://openalex.org/W2043071608","https://openalex.org/W2044154336","https://openalex.org/W2054475540","https://openalex.org/W2055424520","https://openalex.org/W2055611353","https://openalex.org/W2057046236","https://openalex.org/W2057325594","https://openalex.org/W2059023154","https://openalex.org/W2067650803","https://openalex.org/W2076454458","https://openalex.org/W2076755999","https://openalex.org/W2079296766","https://openalex.org/W2086829205","https://openalex.org/W2087515987","https://openalex.org/W2096551755","https://openalex.org/W2097780038","https://openalex.org/W2122843846","https://openalex.org/W2135273380","https://openalex.org/W2140159863","https://openalex.org/W2144389100","https://openalex.org/W2147846452","https://openalex.org/W2151415361","https://openalex.org/W2152240519","https://openalex.org/W2170552382","https://openalex.org/W2228175869","https://openalex.org/W2231791940","https://openalex.org/W2233263905","https://openalex.org/W2301738719","https://openalex.org/W2322282130","https://openalex.org/W2322982485","https://openalex.org/W2343960082","https://openalex.org/W2594070331","https://openalex.org/W2605596422","https://openalex.org/W2767115006","https://openalex.org/W2768446220","https://openalex.org/W2769327410","https://openalex.org/W2798402388","https://openalex.org/W2798807046","https://openalex.org/W2800715612","https://openalex.org/W2885827815","https://openalex.org/W2887107951","https://openalex.org/W2908771063","https://openalex.org/W2937049145","https://openalex.org/W2971866527","https://openalex.org/W2981767369","https://openalex.org/W3017990268","https://openalex.org/W3074713327","https://openalex.org/W3083830937","https://openalex.org/W3104043416","https://openalex.org/W3135991929","https://openalex.org/W4224219968","https://openalex.org/W4239559943","https://openalex.org/W4286908897","https://openalex.org/W4295950066"],"related_works":["https://openalex.org/W3160974922","https://openalex.org/W2055611353","https://openalex.org/W6966721771","https://openalex.org/W4295950066","https://openalex.org/W4224219968","https://openalex.org/W4409995755","https://openalex.org/W2899585801","https://openalex.org/W3074713327","https://openalex.org/W3167582910","https://openalex.org/W1975392627"],"abstract_inverted_index":{"Geometric":[0],"quantum":[1,25,62],"gates":[2,12],"are":[3],"often":[4],"expected":[5],"to":[6,34,53],"be":[7],"more":[8],"resilient":[9],"than":[10],"dynamical":[11,43,89,129],"against":[13],"certain":[14,76],"types":[15],"of":[16,59,107,125],"error,":[17],"which":[18],"would":[19],"make":[20],"them":[21],"ideal":[22],"for":[23,31,103],"robust":[24],"computing.However,":[26],"this":[27],"is":[28],"still":[29],"up":[30],"debate":[32],"due":[33],"seemingly":[35],"conflicting":[36],"results":[37],"in":[38,46,51],"the":[39,56,98],"literature.Here":[40],"we":[41,72,111],"use":[42],"invariant":[44],"theory":[45],"conjunction":[47],"with":[48,91],"filter":[49,99],"functions":[50],"order":[52],"analytically":[54],"characterize":[55],"noise":[57,93],"sensitivity":[58,94],"an":[60,87],"arbitrary":[61,108],"gate.For":[63],"any":[64],"control":[65,83],"Hamiltonian":[66,84],"that":[67,85],"produces":[68,86],"a":[69,104],"geometric":[70,127],"gate,":[71],"find":[73],"that,":[74],"under":[75],"common":[77],"conditions,":[78],"one":[79],"can":[80],"construct":[81],"another":[82],"equivalent":[88,126],"gate":[90],"identical":[92],"(as":[95],"characterized":[96],"by":[97,115],"function).Our":[100],"result":[101,114],"holds":[102],"Hilbert":[105],"space":[106],"dimensions,":[109],"but":[110],"illustrate":[112],"our":[113],"examining":[116],"experimentally":[117],"relevant":[118],"singlequbit":[119],"scenarios":[120],"and":[121,128],"providing":[122],"explicit":[123],"examples":[124],"gates.":[130]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3}],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2022-07-21T00:00:00"}