{"id":"https://openalex.org/W3149477534","doi":"https://doi.org/10.1109/nanoarch.2010.5510932","title":"Fast equivalence-checking for quantum circuits","display_name":"Fast equivalence-checking for quantum circuits","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W3149477534","doi":"https://doi.org/10.1109/nanoarch.2010.5510932","mag":"3149477534"},"language":"en","primary_location":{"id":"doi:10.1109/nanoarch.2010.5510932","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nanoarch.2010.5510932","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE/ACM International Symposium on Nanoscale Architectures","raw_type":"proceedings-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/A5068612356","display_name":"Shigeru Yamashita","orcid":"https://orcid.org/0000-0002-2279-4644"},"institutions":[{"id":"https://openalex.org/I135768898","display_name":"Ritsumeikan University","ror":"https://ror.org/0197nmd03","country_code":"JP","type":"education","lineage":["https://openalex.org/I135768898","https://openalex.org/I4390039241"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Shigeru Yamashita","raw_affiliation_strings":["Ritsumeikan University, Kusatsu, Shiga, Japan"],"affiliations":[{"raw_affiliation_string":"Ritsumeikan University, Kusatsu, Shiga, Japan","institution_ids":["https://openalex.org/I135768898"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065370018","display_name":"Igor L. Markov","orcid":"https://orcid.org/0000-0002-3826-527X"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Igor L. Markov","raw_affiliation_strings":["University of Michigan, Ann Arbor, MI, USA"],"affiliations":[{"raw_affiliation_string":"University of Michigan, Ann Arbor, MI, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068612356"],"corresponding_institution_ids":["https://openalex.org/I135768898"],"apc_list":null,"apc_paid":null,"fwci":0.4524,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.77876762,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"23","last_page":"28"},"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":0.9945999979972839,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9787999987602234,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7242993116378784},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.696354866027832},{"id":"https://openalex.org/keywords/formal-equivalence-checking","display_name":"Formal equivalence checking","score":0.687873125076294},{"id":"https://openalex.org/keywords/factoring","display_name":"Factoring","score":0.5641505122184753},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.5592829585075378},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5359184741973877},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.5034720301628113},{"id":"https://openalex.org/keywords/formal-verification","display_name":"Formal verification","score":0.4773702323436737},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4659937620162964},{"id":"https://openalex.org/keywords/quantum-circuit","display_name":"Quantum circuit","score":0.45520758628845215},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.447681725025177},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.4464499354362488},{"id":"https://openalex.org/keywords/quantum-gate","display_name":"Quantum gate","score":0.4329334497451782},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.4316960275173187},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.200670063495636},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.18652546405792236},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08165648579597473},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.07801046967506409},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07614514231681824},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07319867610931396}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7242993116378784},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.696354866027832},{"id":"https://openalex.org/C96654402","wikidata":"https://www.wikidata.org/wiki/Q5469962","display_name":"Formal equivalence checking","level":3,"score":0.687873125076294},{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.5641505122184753},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.5592829585075378},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5359184741973877},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.5034720301628113},{"id":"https://openalex.org/C111498074","wikidata":"https://www.wikidata.org/wiki/Q173326","display_name":"Formal verification","level":2,"score":0.4773702323436737},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4659937620162964},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.45520758628845215},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.447681725025177},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.4464499354362488},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.4329334497451782},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.4316960275173187},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.200670063495636},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.18652546405792236},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08165648579597473},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.07801046967506409},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07614514231681824},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07319867610931396},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/nanoarch.2010.5510932","is_oa":false,"landing_page_url":"https://doi.org/10.1109/nanoarch.2010.5510932","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE/ACM International Symposium on Nanoscale Architectures","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1629802966","https://openalex.org/W1994460359","https://openalex.org/W2002372750","https://openalex.org/W2010533446","https://openalex.org/W2011123002","https://openalex.org/W2017278808","https://openalex.org/W2063803513","https://openalex.org/W2121695129","https://openalex.org/W2125125126","https://openalex.org/W2155550441","https://openalex.org/W2764347725","https://openalex.org/W2949425409","https://openalex.org/W3023478445","https://openalex.org/W3111297213","https://openalex.org/W3144070277","https://openalex.org/W3151473321","https://openalex.org/W4245816367","https://openalex.org/W6665802101","https://openalex.org/W6676407914"],"related_works":["https://openalex.org/W2152752131","https://openalex.org/W2105710452","https://openalex.org/W2106507440","https://openalex.org/W1651824144","https://openalex.org/W2037793298","https://openalex.org/W2096723742","https://openalex.org/W2035731992","https://openalex.org/W1574742821","https://openalex.org/W2808413667","https://openalex.org/W2162615969"],"abstract_inverted_index":{"We":[0,63],"perform":[1],"formal":[2],"verification":[3,18,57,68],"of":[4,15,26,39,50,81,90],"quantum":[5,40,52,67],"circuits":[6,44,74],"by":[7,87],"integrating":[8],"several":[9,56],"techniques":[10,36,58],"specialized":[11],"to":[12,33],"particular":[13],"classes":[14],"circuits.":[16,41],"Our":[17],"methodology":[19],"is":[20],"based":[21],"on":[22],"the":[23],"new":[24],"notion":[25],"a":[27],"reversible":[28,43],"miter":[29],"that":[30],"allows":[31],"one":[32],"leverage":[34],"existing":[35,66],"for":[37,75],"simplification":[38],"For":[42],"which":[45],"arise":[46],"as":[47],"runtime":[48],"bottlenecks":[49],"key":[51],"algorithms,":[53],"we":[54],"develop":[55],"and":[59],"empirically":[60],"compare":[61],"them.":[62],"also":[64],"extend":[65],"tools":[69],"using":[70],"SAT-solvers.":[71],"Experiments":[72],"with":[73],"Shor's":[76],"number-factoring":[77],"algorithm,":[78],"containing":[79],"thousands":[80],"gates,":[82],"show":[83],"improvements":[84],"in":[85],"efficiency":[86],"four":[88],"orders":[89],"magnitude.":[91]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":8},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}