{"id":"https://openalex.org/W2041083656","doi":"https://doi.org/10.1142/s0129054103002072","title":"ON THE COMPUTATIONAL POWER OF PHYSICAL INTERACTIONS: BOUNDS ON THE NUMBER OF TIME STEPS FOR SIMULATING ARBITRARY INTERACTION GRAPHS","display_name":"ON THE COMPUTATIONAL POWER OF PHYSICAL INTERACTIONS: BOUNDS ON THE NUMBER OF TIME STEPS FOR SIMULATING ARBITRARY INTERACTION GRAPHS","publication_year":2003,"publication_date":"2003-10-01","ids":{"openalex":"https://openalex.org/W2041083656","doi":"https://doi.org/10.1142/s0129054103002072","mag":"2041083656"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054103002072","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054103002072","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013941262","display_name":"Dominik Janzing","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"DOMINIK JANZING","raw_affiliation_strings":["Institut f\u00fcr Algorithmen und Kognitive Systeme, Fakult\u00e4t f\u00fcr Informatik, Universit\u00e4t Karlsruhe, Am Fasanengarten 5, 76 131 Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algorithmen und Kognitive Systeme, Fakult\u00e4t f\u00fcr Informatik, Universit\u00e4t Karlsruhe, Am Fasanengarten 5, 76 131 Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091077518","display_name":"Pawe\u0142 Wocjan","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"PAWEL WOCJAN","raw_affiliation_strings":["Institut f\u00fcr Algorithmen und Kognitive Systeme, Fakult\u00e4t f\u00fcr Informatik, Universit\u00e4t Karlsruhe, Am Fasanengarten 5, 76 131 Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algorithmen und Kognitive Systeme, Fakult\u00e4t f\u00fcr Informatik, Universit\u00e4t Karlsruhe, Am Fasanengarten 5, 76 131 Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110013882","display_name":"Thomas Beth","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"THOMAS BETH","raw_affiliation_strings":["Institut f\u00fcr Algorithmen und Kognitive Systeme, Fakult\u00e4t f\u00fcr Informatik, Universit\u00e4t Karlsruhe, Am Fasanengarten 5, 76 131 Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algorithmen und Kognitive Systeme, Fakult\u00e4t f\u00fcr Informatik, Universit\u00e4t Karlsruhe, Am Fasanengarten 5, 76 131 Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5013941262"],"corresponding_institution_ids":["https://openalex.org/I102335020"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.12502793,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"05","first_page":"889","last_page":"903"},"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.983299970626831,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9811999797821045,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/computer-science","display_name":"Computer science","score":0.5744978189468384},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.46595674753189087},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.4544662535190582},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.44050005078315735},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14086183905601501},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1050294041633606}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5744978189468384},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.46595674753189087},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.4544662535190582},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.44050005078315735},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14086183905601501},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1050294041633606}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054103002072","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054103002072","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1649815265","https://openalex.org/W1657373019","https://openalex.org/W1967370234","https://openalex.org/W1972481836","https://openalex.org/W2044573796","https://openalex.org/W2179731956","https://openalex.org/W2764347725","https://openalex.org/W4249667877"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4382281260","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2951363717","https://openalex.org/W2134613344"],"abstract_inverted_index":{"The":[0,79],"most":[1],"popular":[2],"model":[3,11],"of":[4,22,63,71,76,104,116,124,148,153,161],"quantum":[5,9,23,54],"computation":[6],"is":[7,66],"the":[8,34,38,41,53,60,69,72,88,112,121,146,159,192,195],"circuit":[10],"using":[12],"single":[13],"and":[14,132,182,188],"two":[15,135],"qubit":[16],"gates":[17],"as":[18,40,174],"elementary":[19],"transformations.":[20],"Definitions":[21],"complexity":[24,70,136],"usually":[25],"refer":[26],"to":[27,47,58,67,179],"this":[28],"model.":[29],"In":[30,96,157,191],"contrast,":[31],"we":[32,99,141],"consider":[33],"physical":[35,80],"interactions":[36,65,85,185],"among":[37],"qubits":[39],"basic":[42],"computational":[43,61],"resource":[44],"that":[45,177],"allows":[46],"carry":[48],"out":[49],"complex":[50],"transformations":[51],"on":[52,111,145],"register.":[55],"One":[56],"method":[57],"compare":[59],"power":[62],"different":[64],"examine":[68],"so-called":[73],"mutual":[74,102],"simulation":[75,103,160],"interaction":[77,81,155,162],"Hamiltonians.":[78,107],"can":[82],"simulate":[83],"other":[84],"by":[86],"interspersing":[87],"natural":[89],"time":[90,114,125,149],"evolution":[91],"with":[92,164],"external":[93],"control":[94],"operations.":[95],"previous":[97],"papers":[98],"have":[100,109],"considered":[101],"n-partite":[105],"pair-interaction":[106],"We":[108,172],"focussed":[110],"running":[113],"overhead":[115],"general":[117,154],"simulations,":[118],"while":[119],"considering":[120],"required":[122],"number":[123,147],"steps":[126,150],"only":[127],"for":[128,151],"special":[129],"cases":[130],"(decoupling":[131],"time-reversal).":[133],"These":[134],"measures":[137],"differ":[138],"significantly.":[139],"Here":[140],"derive":[142],"lower":[143,196],"bounds":[144,197],"simulations":[152],"graphs.":[156],"particular,":[158],"graphs":[163,176],"irrational":[165],"spectrum":[166],"requires":[167],"at":[168],"least":[169],"n":[170],"steps.":[171],"discuss":[173],"examples":[175],"correspond":[178],"graph":[180],"codes":[181],"nearest":[183],"neighbor":[184],"in":[186],"1-":[187],"2-dimensional":[189],"lattices.":[190],"latter":[193],"case":[194],"are":[198],"almost":[199],"tight.":[200]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}