{"id":"https://openalex.org/W4283587161","doi":"https://doi.org/10.22331/q-2022-06-27-744","title":"Limits of Short-Time Evolution of Local Hamiltonians","display_name":"Limits of Short-Time Evolution of Local Hamiltonians","publication_year":2022,"publication_date":"2022-06-27","ids":{"openalex":"https://openalex.org/W4283587161","doi":"https://doi.org/10.22331/q-2022-06-27-744"},"language":"lv","primary_location":{"id":"doi:10.22331/q-2022-06-27-744","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-06-27-744","pdf_url":"https://quantum-journal.org/papers/q-2022-06-27-744/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-2022-06-27-744/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091778711","display_name":"Ali Hamed Moosavian","orcid":"https://orcid.org/0000-0002-1818-5037"},"institutions":[{"id":"https://openalex.org/I4210136738","display_name":"Iranian Center for Quantum Technologies","ror":"https://ror.org/03p4ncr63","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210136738"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Ali Hamed Moosavian","raw_affiliation_strings":["QuOne Lab, Phanous Research and Innovation Centre, Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0002-1818-5037","affiliations":[{"raw_affiliation_string":"QuOne Lab, Phanous Research and Innovation Centre, Tehran, Iran","institution_ids":["https://openalex.org/I4210136738"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034535481","display_name":"Seyed Sajad Kahani","orcid":null},"institutions":[{"id":"https://openalex.org/I4210136738","display_name":"Iranian Center for Quantum Technologies","ror":"https://ror.org/03p4ncr63","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210136738"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Seyed Sajad Kahani","raw_affiliation_strings":["QuOne Lab, Phanous Research and Innovation Centre, Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"QuOne Lab, Phanous Research and Innovation Centre, Tehran, Iran","institution_ids":["https://openalex.org/I4210136738"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004602538","display_name":"Salman Beigi","orcid":"https://orcid.org/0000-0003-3588-4662"},"institutions":[{"id":"https://openalex.org/I4210136738","display_name":"Iranian Center for Quantum Technologies","ror":"https://ror.org/03p4ncr63","country_code":"IR","type":"facility","lineage":["https://openalex.org/I4210136738"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Salman Beigi","raw_affiliation_strings":["QuOne Lab, Phanous Research and Innovation Centre, Tehran, Iran"],"raw_orcid":"https://orcid.org/0000-0003-3588-4662","affiliations":[{"raw_affiliation_string":"QuOne Lab, Phanous Research and Innovation Centre, Tehran, Iran","institution_ids":["https://openalex.org/I4210136738"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"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":0.2775,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.61844332,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"6","issue":null,"first_page":"744","last_page":"744"},"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":0.9991999864578247,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9936000108718872,"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/isoperimetric-inequality","display_name":"Isoperimetric inequality","score":0.7951062917709351},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.6890970468521118},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6066716313362122},{"id":"https://openalex.org/keywords/intuition","display_name":"Intuition","score":0.5491814017295837},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.5075627565383911},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.46159645915031433},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4530763328075409},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4396052062511444},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3444766402244568},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.31015443801879883},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.30614811182022095},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28218674659729004},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.19914808869361877},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15895748138427734}],"concepts":[{"id":"https://openalex.org/C140142295","wikidata":"https://www.wikidata.org/wiki/Q617417","display_name":"Isoperimetric inequality","level":2,"score":0.7951062917709351},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6890970468521118},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6066716313362122},{"id":"https://openalex.org/C132010649","wikidata":"https://www.wikidata.org/wiki/Q189222","display_name":"Intuition","level":2,"score":0.5491814017295837},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.5075627565383911},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.46159645915031433},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4530763328075409},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4396052062511444},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3444766402244568},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.31015443801879883},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.30614811182022095},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28218674659729004},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.19914808869361877},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15895748138427734},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2022-06-27-744","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-06-27-744","pdf_url":"https://quantum-journal.org/papers/q-2022-06-27-744/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:2104.12808","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2104.12808","pdf_url":"https://arxiv.org/pdf/2104.12808","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:ae7f7afb2d844ef6aefe1726f386e08c","is_oa":false,"landing_page_url":"https://doaj.org/article/ae7f7afb2d844ef6aefe1726f386e08c","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 6, p 744 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2022-06-27-744","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-06-27-744","pdf_url":"https://quantum-journal.org/papers/q-2022-06-27-744/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":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4283587161.pdf","grobid_xml":"https://content.openalex.org/works/W4283587161.grobid-xml"},"referenced_works_count":62,"referenced_works":["https://openalex.org/W585133165","https://openalex.org/W1508413598","https://openalex.org/W1553099944","https://openalex.org/W1568345435","https://openalex.org/W1575622900","https://openalex.org/W1739872454","https://openalex.org/W1977658351","https://openalex.org/W1978866421","https://openalex.org/W1983624953","https://openalex.org/W1985123706","https://openalex.org/W2003291739","https://openalex.org/W2011290825","https://openalex.org/W2012631176","https://openalex.org/W2024860775","https://openalex.org/W2027199101","https://openalex.org/W2031828766","https://openalex.org/W2033586226","https://openalex.org/W2049736198","https://openalex.org/W2066297895","https://openalex.org/W2067002250","https://openalex.org/W2071410718","https://openalex.org/W2093034816","https://openalex.org/W2118518847","https://openalex.org/W2120802379","https://openalex.org/W2126806061","https://openalex.org/W2149800642","https://openalex.org/W2274114116","https://openalex.org/W2554913830","https://openalex.org/W2564229214","https://openalex.org/W2623403028","https://openalex.org/W2767121113","https://openalex.org/W2791137739","https://openalex.org/W2804968020","https://openalex.org/W2904639156","https://openalex.org/W2924182316","https://openalex.org/W2944050202","https://openalex.org/W2963595962","https://openalex.org/W2963763189","https://openalex.org/W2963847269","https://openalex.org/W2977049528","https://openalex.org/W2980835754","https://openalex.org/W2995050112","https://openalex.org/W3002718752","https://openalex.org/W3012851713","https://openalex.org/W3016618834","https://openalex.org/W3025196110","https://openalex.org/W3080741966","https://openalex.org/W3101987896","https://openalex.org/W3102169218","https://openalex.org/W3103672205","https://openalex.org/W3103801044","https://openalex.org/W3105135121","https://openalex.org/W3106613142","https://openalex.org/W3167544365","https://openalex.org/W3171893267","https://openalex.org/W3213316715","https://openalex.org/W4221143556","https://openalex.org/W4225727821","https://openalex.org/W4232713957","https://openalex.org/W4235946010","https://openalex.org/W4255333822","https://openalex.org/W4287102123"],"related_works":["https://openalex.org/W2393012656","https://openalex.org/W4293733602","https://openalex.org/W2587882711","https://openalex.org/W4387415199","https://openalex.org/W4297156356","https://openalex.org/W2799900090","https://openalex.org/W2042006853","https://openalex.org/W4382491248","https://openalex.org/W2047527454","https://openalex.org/W2951611692"],"abstract_inverted_index":{"Evolutions":[0],"of":[1,29,38,42,48,67,132],"local":[2,11,30,49],"Hamiltonians":[3,50,128],"in":[4,96],"short":[5],"times":[6],"are":[7,51],"expected":[8],"to":[9,100],"remain":[10],"and":[12,54,83],"thus":[13],"limited.":[14],"In":[15],"this":[16,20],"paper,":[17],"we":[18,70,118],"validate":[19],"intuition":[21],"by":[22],"proving":[23],"some":[24],"limitations":[25],"on":[26,104],"short-time":[27,43],"evolutions":[28,47],"time-dependent":[31,127],"Hamiltonians.":[32],"We":[33],"show":[34],"that":[35,85,93,124],"the":[36,39,72,97],"distribution":[37],"measurement":[40],"output":[41],"(at":[44],"most":[45],"logarithmic)":[46],"<mml:math":[52,57,73,105],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>c</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>c</mml:mi><mml:mi>e</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>r</mml:mi><mml:mi>a</mml:mi><mml:mi>t</mml:mi><mml:mi>e</mml:mi><mml:mi>d</mml:mi></mml:math>":[53],"satisfy":[55],"an":[56],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow":[58],"class=\"MJX-TeXAtom-ORD\"><mml:mtext":[59],"class=\"MJX-tex-mathit\"":[60],"mathvariant=\"italic\">isoperimetric":[61],"inequality</mml:mtext></mml:mrow></mml:math>.":[62],"To":[63,114],"showcase":[64],"explicit":[65],"applications":[66],"our":[68,116],"results,":[69,117],"study":[71],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>M</mml:mi></mml:math><mml:math":[74,106],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mstyle":[75,79,107,111],"mathsize=\"0.85em\"><mml:mrow":[76,80,108,112],"class=\"MJX-TeXAtom-ORD\"><mml:mi>A</mml:mi><mml:mi>X</mml:mi></mml:mrow></mml:mstyle></mml:math><mml:math":[77,109],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>C</mml:mi></mml:math><mml:math":[78,110],"class=\"MJX-TeXAtom-ORD\"><mml:mi>U</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:mstyle></mml:math>":[81],"problem":[82,98],"conclude":[84],"quantum":[86],"annealing":[87],"needs":[88],"at":[89],"least":[90],"a":[91,121],"run-time":[92],"scales":[94],"logarithmically":[95],"size":[99],"beat":[101],"classical":[102],"algorithms":[103],"class=\"MJX-TeXAtom-ORD\"><mml:mi>U</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:mstyle></mml:math>.":[113],"establish":[115],"also":[119],"prove":[120],"Lieb-Robinson":[122],"bound":[123],"works":[125],"for":[126],"which":[129],"might":[130],"be":[131],"independent":[133],"interest.":[134]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}