{"id":"https://openalex.org/W3209065616","doi":"https://doi.org/10.22331/q-2022-04-06-682","title":"Bounds on the recurrence probability in periodically-driven quantum systems","display_name":"Bounds on the recurrence probability in periodically-driven quantum systems","publication_year":2022,"publication_date":"2022-04-06","ids":{"openalex":"https://openalex.org/W3209065616","doi":"https://doi.org/10.22331/q-2022-04-06-682","mag":"3209065616"},"language":"en","primary_location":{"id":"doi:10.22331/q-2022-04-06-682","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-04-06-682","pdf_url":"https://quantum-journal.org/papers/q-2022-04-06-682/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":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2022-04-06-682/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008097361","display_name":"Tanmoy Pandit","orcid":"https://orcid.org/0000-0002-2377-6181"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Tanmoy Pandit","raw_affiliation_strings":["Fritz Haber Research Center for Molecular Dynamics, Hebrew University of Jerusalem, Jerusalem 9190401, Israel"],"affiliations":[{"raw_affiliation_string":"Fritz Haber Research Center for Molecular Dynamics, Hebrew University of Jerusalem, Jerusalem 9190401, Israel","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085926481","display_name":"Alaina Green","orcid":"https://orcid.org/0000-0003-3365-4433"},"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/I4210151733","display_name":"Joint Quantum Institute","ror":"https://ror.org/04xz38214","country_code":"US","type":"facility","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065","https://openalex.org/I4210151733","https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alaina M. Green","raw_affiliation_strings":["Joint Quantum Institute and Department of Physics, University of Maryland, College Park, MD 20742 USA"],"affiliations":[{"raw_affiliation_string":"Joint Quantum Institute and Department of Physics, University of Maryland, College Park, MD 20742 USA","institution_ids":["https://openalex.org/I4210151733","https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047992509","display_name":"C. Huerta Alderete","orcid":"https://orcid.org/0000-0003-3673-9985"},"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/I4210151733","display_name":"Joint Quantum Institute","ror":"https://ror.org/04xz38214","country_code":"US","type":"facility","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065","https://openalex.org/I4210151733","https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. Huerta Alderete","raw_affiliation_strings":["Joint Quantum Institute and Department of Physics, University of Maryland, College Park, MD 20742 USA"],"affiliations":[{"raw_affiliation_string":"Joint Quantum Institute and Department of Physics, University of Maryland, College Park, MD 20742 USA","institution_ids":["https://openalex.org/I4210151733","https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021964499","display_name":"Norbert M. Linke","orcid":"https://orcid.org/0000-0001-5655-9258"},"institutions":[{"id":"https://openalex.org/I4210151733","display_name":"Joint Quantum Institute","ror":"https://ror.org/04xz38214","country_code":"US","type":"facility","lineage":["https://openalex.org/I1321296531","https://openalex.org/I1343035065","https://openalex.org/I4210151733","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":"Norbert M. Linke","raw_affiliation_strings":["Joint Quantum Institute and Department of Physics, University of Maryland, College Park, MD 20742 USA"],"affiliations":[{"raw_affiliation_string":"Joint Quantum Institute and Department of Physics, University of Maryland, College Park, MD 20742 USA","institution_ids":["https://openalex.org/I4210151733","https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003314993","display_name":"Raam Uzdin","orcid":"https://orcid.org/0000-0003-4643-5758"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Raam Uzdin","raw_affiliation_strings":["Fritz Haber Research Center for Molecular Dynamics, Hebrew University of Jerusalem, Jerusalem 9190401, Israel"],"affiliations":[{"raw_affiliation_string":"Fritz Haber Research Center for Molecular Dynamics, Hebrew University of Jerusalem, Jerusalem 9190401, Israel","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5008097361"],"corresponding_institution_ids":["https://openalex.org/I197251160"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":0.276,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.59941125,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"6","issue":null,"first_page":"682","last_page":"682"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9995999932289124,"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":0.9995999932289124,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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/T11804","display_name":"Quantum many-body systems","score":0.9991000294685364,"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/computer-science","display_name":"Computer science","score":0.5936769247055054},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5810637474060059},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.48411476612091064},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.4614924192428589},{"id":"https://openalex.org/keywords/coupling","display_name":"Coupling (piping)","score":0.45201027393341064},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.43607789278030396},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3858200013637543},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24949800968170166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2326257824897766},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.21198531985282898},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.08821439743041992}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5936769247055054},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5810637474060059},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.48411476612091064},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4614924192428589},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.45201027393341064},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.43607789278030396},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3858200013637543},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24949800968170166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2326257824897766},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.21198531985282898},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.08821439743041992},{"id":"https://openalex.org/C191897082","wikidata":"https://www.wikidata.org/wiki/Q11467","display_name":"Metallurgy","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2022-04-06-682","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-04-06-682","pdf_url":"https://quantum-journal.org/papers/q-2022-04-06-682/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:arXiv.org:2105.11685","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2105.11685","pdf_url":"https://arxiv.org/pdf/2105.11685","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:9b86ceadf828434599dbcec752cb8bf3","is_oa":true,"landing_page_url":"https://doaj.org/article/9b86ceadf828434599dbcec752cb8bf3","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 682 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2022-04-06-682","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-04-06-682","pdf_url":"https://quantum-journal.org/papers/q-2022-04-06-682/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/G1180521333","display_name":null,"funder_award_id":"2556/20","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3209065616.pdf","grobid_xml":"https://content.openalex.org/works/W3209065616.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1968012014","https://openalex.org/W1972252033","https://openalex.org/W1972637202","https://openalex.org/W1986041196","https://openalex.org/W1994516937","https://openalex.org/W1996805349","https://openalex.org/W2001836709","https://openalex.org/W2015172195","https://openalex.org/W2020777009","https://openalex.org/W2061402744","https://openalex.org/W2078695144","https://openalex.org/W2102277728","https://openalex.org/W2128706048","https://openalex.org/W2314480200","https://openalex.org/W2525071454","https://openalex.org/W2526468162","https://openalex.org/W2586874551","https://openalex.org/W2725257871","https://openalex.org/W2799163295","https://openalex.org/W2800990687","https://openalex.org/W2891186888","https://openalex.org/W2946533503","https://openalex.org/W2950036696","https://openalex.org/W2969953556","https://openalex.org/W2971342889","https://openalex.org/W2986056901","https://openalex.org/W2994805963","https://openalex.org/W2995180304","https://openalex.org/W3003414507","https://openalex.org/W3088382764","https://openalex.org/W3099251411","https://openalex.org/W3100383451","https://openalex.org/W3102799395","https://openalex.org/W3102803394","https://openalex.org/W3103985840","https://openalex.org/W3105155441","https://openalex.org/W3120742226","https://openalex.org/W3133556787","https://openalex.org/W3138427182","https://openalex.org/W3196253967","https://openalex.org/W4225776344"],"related_works":["https://openalex.org/W2799406489","https://openalex.org/W2049792449","https://openalex.org/W986251431","https://openalex.org/W1482475713","https://openalex.org/W563727013","https://openalex.org/W2502468346","https://openalex.org/W2963420405","https://openalex.org/W2187485469","https://openalex.org/W3125571551","https://openalex.org/W2215918441"],"abstract_inverted_index":{"Periodically-driven":[0],"systems":[1,85],"are":[2],"ubiquitous":[3],"in":[4,71,132,144],"science":[5],"and":[6,69,96],"technology.":[7],"In":[8],"quantum":[9,84,94,100,133],"dynamics,":[10],"even":[11],"a":[12,37,92],"small":[13],"number":[14,43],"of":[15,25,39,44,79,129,163,168],"periodically-driven":[16],"spins":[17],"leads":[18],"to":[19,27,66,125],"complicated":[20],"dynamics.":[21],"Hence,":[22],"it":[23],"is":[24,54],"interest":[26],"understand":[28],"what":[29],"constraints":[30,40,61,110,164],"such":[31],"dynamics":[32],"must":[33],"satisfy.":[34],"We":[35,58],"derive":[36],"set":[38],"for":[41,62,82],"each":[42],"cycles.":[45],"For":[46],"pure":[47],"initial":[48],"states,":[49],"the":[50,55,72,77,127,130,161],"observable":[51],"being":[52],"constrained":[53],"recurrence":[56],"probability.":[57],"use":[59],"our":[60,88],"detecting":[63],"undesired":[64],"coupling":[65],"unaccounted":[67],"environments":[68],"drifts":[70],"driving":[73],"parameters.":[74],"To":[75],"illustrate":[76],"relevance":[78],"these":[80,109],"results":[81],"modern":[83],"we":[86,103,141],"demonstrate":[87],"findings":[89],"experimentally":[90],"on":[91,97],"trapped-ion":[93],"computer,":[95],"various":[98],"IBM":[99],"computers.":[101],"Specifically,":[102],"provide":[104],"two":[105],"experimental":[106],"examples":[107],"where":[108],"surpass":[111],"fundamental":[112],"bounds":[113],"associated":[114,165],"with":[115,166],"known":[116],"one-cycle":[117],"constraints.":[118],"This":[119],"scheme":[120],"can":[121],"potentially":[122],"be":[123,137],"used":[124],"detect":[126],"effect":[128],"environment":[131],"circuits":[134],"that":[135],"cannot":[136],"classically":[138],"simulated.":[139],"Finally,":[140],"show":[142],"that,":[143],"practice,":[145],"testing":[146],"an":[147],"<mml:math":[148,154],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>n</mml:mi></mml:math>-cycle":[149],"constraint":[150],"requires":[151],"executing":[152],"only":[153],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>O</mml:mi><mml:mo":[155],"stretchy=\"false\">(</mml:mo><mml:msqrt><mml:mi>n</mml:mi></mml:msqrt><mml:mo":[156],"stretchy=\"false\">)</mml:mo></mml:math>":[157],"cycles,":[158],"which":[159],"makes":[160],"evaluation":[162],"hundreds":[167],"cycles":[169],"realistic.":[170]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2021-11-08T00:00:00"}