{"id":"https://openalex.org/W4414863338","doi":"https://doi.org/10.1145/3769108","title":"Hamiltonian Complexity in the Thermodynamic Limit","display_name":"Hamiltonian Complexity in the Thermodynamic Limit","publication_year":2025,"publication_date":"2025-10-06","ids":{"openalex":"https://openalex.org/W4414863338","doi":"https://doi.org/10.1145/3769108"},"language":"en","primary_location":{"id":"doi:10.1145/3769108","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3769108","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1145/3769108","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5005794608","display_name":"Dorit Aharonov","orcid":"https://orcid.org/0000-0002-9378-8495"},"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"]},{"id":"https://openalex.org/I4210114455","display_name":"Cambridge Quantum Computing (United Kingdom)","ror":"https://ror.org/024779x77","country_code":"GB","type":"company","lineage":["https://openalex.org/I4210114455"]}],"countries":["GB","IL"],"is_corresponding":true,"raw_author_name":"Dorit Aharonov","raw_affiliation_strings":["Qedma Quantum Computing Ltd","The Benin School for Computer Science and Engineering, Hebrew University of Jerusalem"],"raw_orcid":"https://orcid.org/0000-0002-9378-8495","affiliations":[{"raw_affiliation_string":"Qedma Quantum Computing Ltd","institution_ids":["https://openalex.org/I4210114455"]},{"raw_affiliation_string":"The Benin School for Computer Science and Engineering, Hebrew University of Jerusalem","institution_ids":["https://openalex.org/I197251160"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067702658","display_name":"Sandy Irani","orcid":"https://orcid.org/0000-0002-0642-9436"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sandy Irani","raw_affiliation_strings":["Department of Computer Science, University of California Irvine"],"raw_orcid":"https://orcid.org/0000-0002-0642-9436","affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California Irvine","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5005794608"],"corresponding_institution_ids":["https://openalex.org/I197251160","https://openalex.org/I4210114455"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20954779,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"6","first_page":"1","last_page":"82"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9988999962806702,"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/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9980999827384949,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9944000244140625,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.7236999869346619},{"id":"https://openalex.org/keywords/thermodynamic-limit","display_name":"Thermodynamic limit","score":0.6668999791145325},{"id":"https://openalex.org/keywords/adiabatic-quantum-computation","display_name":"Adiabatic quantum computation","score":0.5059999823570251},{"id":"https://openalex.org/keywords/hamiltonian-path-problem","display_name":"Hamiltonian path problem","score":0.48750001192092896},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4763000011444092},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4284000098705292},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.423799991607666},{"id":"https://openalex.org/keywords/hamiltonian-system","display_name":"Hamiltonian system","score":0.3962000012397766}],"concepts":[{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.7236999869346619},{"id":"https://openalex.org/C54021167","wikidata":"https://www.wikidata.org/wiki/Q1103484","display_name":"Thermodynamic limit","level":2,"score":0.6668999791145325},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5511000156402588},{"id":"https://openalex.org/C192353077","wikidata":"https://www.wikidata.org/wiki/Q4682635","display_name":"Adiabatic quantum computation","level":4,"score":0.5059999823570251},{"id":"https://openalex.org/C104737047","wikidata":"https://www.wikidata.org/wiki/Q987652","display_name":"Hamiltonian path problem","level":4,"score":0.48750001192092896},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4763000011444092},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4284000098705292},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.423799991607666},{"id":"https://openalex.org/C121770821","wikidata":"https://www.wikidata.org/wiki/Q2072471","display_name":"Hamiltonian system","level":2,"score":0.3962000012397766},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.39410001039505005},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3693000078201294},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.34779998660087585},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33329999446868896},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.32760000228881836},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.3255999982357025},{"id":"https://openalex.org/C19754495","wikidata":"https://www.wikidata.org/wiki/Q3435924","display_name":"Computational problem","level":2,"score":0.3246999979019165},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.32019999623298645},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3183000087738037},{"id":"https://openalex.org/C174038435","wikidata":"https://www.wikidata.org/wiki/Q232431","display_name":"Quantum number","level":2,"score":0.31610000133514404},{"id":"https://openalex.org/C69523127","wikidata":"https://www.wikidata.org/wiki/Q4480008","display_name":"Ground state","level":2,"score":0.31540000438690186},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.30160000920295715},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.2994999885559082},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.29190000891685486},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2915000021457672},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.2524999976158142}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3769108","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3769108","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3769108","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3769108","pdf_url":null,"source":{"id":"https://openalex.org/S118992489","display_name":"Journal of the ACM","issn_l":"0004-5411","issn":["0004-5411","1557-735X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the ACM","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1784285531","https://openalex.org/W1916454335","https://openalex.org/W2008613834","https://openalex.org/W2033216491","https://openalex.org/W2034763770","https://openalex.org/W2045590835","https://openalex.org/W2072381205","https://openalex.org/W2080804881","https://openalex.org/W2080896750","https://openalex.org/W2084019889","https://openalex.org/W2116015765","https://openalex.org/W2192149141","https://openalex.org/W2346553292","https://openalex.org/W2403315016","https://openalex.org/W2775903563","https://openalex.org/W2783493337","https://openalex.org/W2895634032","https://openalex.org/W2978037991","https://openalex.org/W3102815947","https://openalex.org/W3103980662","https://openalex.org/W3105960111","https://openalex.org/W3125290841","https://openalex.org/W3182797208","https://openalex.org/W3206606417","https://openalex.org/W4401905213","https://openalex.org/W4411326960"],"related_works":[],"abstract_inverted_index":{"Despite":[0],"immense":[1],"progress":[2],"in":[3,7,51,99,106,117,136,145,182,219,235,252],"quantum":[4,19],"Hamiltonian":[5,50,165,226],"complexity":[6,17,39,81],"the":[8,15,22,29,38,42,52,65,70,73,77,80,100,107,130,137,140,150,154,173,187,190,193,196,200,203,211,220,224,254,260,263,271,275,291,308,312],"past":[9],"decade,":[10],"little":[11],"is":[12,32,72,89,115,121,132,168,175,195,205,233,239,257,307],"known":[13],"about":[14],"computational":[16],"of":[18,40,45,67,69,82,102,139,152,157,172,180,192,210,223,262,274,311],"physics":[20],"at":[21],"thermodynamic":[23,53,108],"limit.":[24,109],"In":[25,186],"fact,":[26],"even":[27,286],"defining":[28],"problem":[30,84,114,131,151,201,232],"properly":[31],"not":[33],"straight":[34],"forward.":[35],"We":[36,110,228],"study":[37,149],"estimating":[41],"ground":[43,155,212,255,272],"energy":[44,156,256],"a":[46,57,91,103,169,183,248,319],"fixed,":[47],"translationally-invariant":[48],"(TI)":[49],"limit,":[54],"to":[55,76,93,177,199,206],"within":[56],"given":[58],"precision;":[59],"this":[60,83,113,231,306],"precision":[61],"(given":[62],"by":[63,259],"n":[64],"number":[66],"bits":[68],"approximation)":[71],"sole":[74,197],"input":[75,198],"problem.":[78,227],"Understanding":[79],"captures":[85],"how":[86],"difficult":[87],"it":[88],"for":[90,123,241,270,281,290,318],"physicist":[92],"measure":[94],"or":[95],"compute":[96,207],"another":[97],"digit":[98],"approximation":[101,209],"physical":[104],"quantity":[105],"show":[111,229],"that":[112,129,230,315],"contained":[116,234],"FEXP":[118,124],"QMA-EXP":[119,237],"and":[120,202,238,285],"hard":[122,135,240],"NEXP":[125,243],".":[126,244],"This":[127,265],"means":[128],"doubly":[133],"exponentially":[134],"size":[138],"input.":[141],"As":[142],"an":[143,208],"ingredient":[144],"our":[146,304],"construction,":[147],"we":[148,295],"computing":[153],"translationally":[158],"invariant":[159],"finite":[160,184,188],"1D":[161],"chains.":[162],"A":[163],"single":[164],"term,":[166],"which":[167,253,294],"fixed":[170],"parameter":[171],"problem,":[174],"applied":[176],"every":[178],"pair":[179],"particles":[181],"chain.":[185],"case,":[189],"length":[191,261],"chain":[194],"task":[204],"energy.":[213],"No":[214],"thresholds":[215],"are":[216],"provided":[217],"as":[218],"standard":[221],"formulation":[222],"local":[225],"FP":[236,242],"Our":[245],"techniques":[246,298],"employ":[247],"circular":[249],"clock":[250],"structure":[251],"calibrated":[258],"cycle.":[264],"requires":[266],"more":[267],"precise":[268],"expressions":[269],"energies":[273],"resulting":[276],"matrices":[277],"than":[278],"were":[279],"required":[280],"previous":[282],"QMA-completeness":[283],"constructions":[284],"exact":[287],"analytical":[288],"bounds":[289],"infinite":[292],"case":[293],"derive":[296],"using":[297],"from":[299],"spectral":[300],"graph":[301],"theory.":[302],"To":[303],"knowledge,":[305],"first":[309],"use":[310],"circuit-to-Hamiltonian":[313],"construction":[314],"shows":[316],"hardness":[317],"function":[320],"class.":[321]},"counts_by_year":[],"updated_date":"2025-11-27T01:12:40.094763","created_date":"2025-10-10T00:00:00"}
