{"id":"https://openalex.org/W4409967209","doi":"https://doi.org/10.1007/978-3-031-90660-2_6","title":"Parallel Equivalence Checking of Stabilizer Quantum Circuits on GPUs","display_name":"Parallel Equivalence Checking of Stabilizer Quantum Circuits on GPUs","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4409967209","doi":"https://doi.org/10.1007/978-3-031-90660-2_6"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-90660-2_6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-90660-2_6","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-90660-2_6.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-90660-2_6.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014326676","display_name":"Muhammad Osama","orcid":"https://orcid.org/0000-0002-5023-5348"},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Muhammad Osama","raw_affiliation_strings":["Leiden Institute of Advanced Computer Science (LIACS), Leiden University, Leiden, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Leiden Institute of Advanced Computer Science (LIACS), Leiden University, Leiden, The Netherlands","institution_ids":["https://openalex.org/I121797337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078303789","display_name":"Dimitrios Thanos","orcid":"https://orcid.org/0000-0002-0719-1036"},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Dimitrios Thanos","raw_affiliation_strings":["Leiden Institute of Advanced Computer Science (LIACS), Leiden University, Leiden, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Leiden Institute of Advanced Computer Science (LIACS), Leiden University, Leiden, The Netherlands","institution_ids":["https://openalex.org/I121797337"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018667026","display_name":"Alfons Laarman","orcid":"https://orcid.org/0000-0002-2433-4174"},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Alfons Laarman","raw_affiliation_strings":["Leiden Institute of Advanced Computer Science (LIACS), Leiden University, Leiden, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Leiden Institute of Advanced Computer Science (LIACS), Leiden University, Leiden, The Netherlands","institution_ids":["https://openalex.org/I121797337"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5014326676"],"corresponding_institution_ids":["https://openalex.org/I121797337"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":{"value":5000,"currency":"EUR","value_usd":5392},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17902599,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"109","last_page":"128"},"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.992900013923645,"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"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9900000095367432,"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/computer-science","display_name":"Computer science","score":0.7855875492095947},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6462997794151306},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5123916268348694},{"id":"https://openalex.org/keywords/electronic-circuit","display_name":"Electronic circuit","score":0.4669533669948578},{"id":"https://openalex.org/keywords/formal-equivalence-checking","display_name":"Formal equivalence checking","score":0.4626978039741516},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.434296578168869},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3624802827835083},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.22447505593299866},{"id":"https://openalex.org/keywords/model-checking","display_name":"Model checking","score":0.13644346594810486},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13573384284973145},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.12972739338874817},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09280040860176086}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7855875492095947},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6462997794151306},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5123916268348694},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.4669533669948578},{"id":"https://openalex.org/C96654402","wikidata":"https://www.wikidata.org/wiki/Q5469962","display_name":"Formal equivalence checking","level":3,"score":0.4626978039741516},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.434296578168869},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3624802827835083},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.22447505593299866},{"id":"https://openalex.org/C110251889","wikidata":"https://www.wikidata.org/wiki/Q1569697","display_name":"Model checking","level":2,"score":0.13644346594810486},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13573384284973145},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.12972739338874817},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09280040860176086}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-90660-2_6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-90660-2_6","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-90660-2_6.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-90660-2_6","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-90660-2_6","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-90660-2_6.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409967209.pdf","grobid_xml":"https://content.openalex.org/works/W4409967209.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1657500045","https://openalex.org/W1971028646","https://openalex.org/W1984021697","https://openalex.org/W2030867075","https://openalex.org/W2052146120","https://openalex.org/W2159566537","https://openalex.org/W2357843841","https://openalex.org/W2734474749","https://openalex.org/W2781738013","https://openalex.org/W2800906530","https://openalex.org/W2803889673","https://openalex.org/W2886696706","https://openalex.org/W2946582523","https://openalex.org/W3098228168","https://openalex.org/W3100931082","https://openalex.org/W3105603580","https://openalex.org/W3135510046","https://openalex.org/W3181290353","https://openalex.org/W4225797040","https://openalex.org/W4315702683","https://openalex.org/W4321610982","https://openalex.org/W4384471393","https://openalex.org/W4387755447","https://openalex.org/W4388464319","https://openalex.org/W4394651567","https://openalex.org/W4394672652","https://openalex.org/W4396986598","https://openalex.org/W4400210518"],"related_works":["https://openalex.org/W3148913902","https://openalex.org/W2103625331","https://openalex.org/W2152752131","https://openalex.org/W21388859","https://openalex.org/W2117120663","https://openalex.org/W1532304424","https://openalex.org/W2122228234","https://openalex.org/W2116137315","https://openalex.org/W1537651185","https://openalex.org/W2102175714"],"abstract_inverted_index":{"Abstract":[0],"Equivalence":[1],"checking":[2,67],"plays":[3],"a":[4,54,61],"crucial":[5],"role":[6],"in":[7,26,44,101,127],"quantum":[8,49],"circuit":[9],"compilation,":[10],"optimization,":[11],"and":[12,40,81,106],"verification.":[13],"Stabilizer":[14],"circuits":[15,35,70],"can":[16],"be":[17],"simulated":[18],"classically":[19],"by":[20],"tracking":[21],"the":[22,30,45,72,83,91,98,134],"so-called":[23],"stabilizer":[24,34,69,73],"operators":[25],"linear":[27],"time.":[28],"But":[29],"simulation":[31],"of":[32,38,47,68,103,115],"large":[33],"with":[36],"thousands":[37],"qubits":[39],"gates,":[41],"arising":[42],"e.g.":[43],"study":[46],"novel":[48],"error-correction":[50],"protocols,":[51],"still":[52],"poses":[53],"challenge.":[55],"In":[56],"this":[57,128,133],"work,":[58],"we":[59],"propose":[60],"GPU-based":[62],"deterministic":[63],"algorithm":[64,88],"for":[65],"equivalence":[66],"using":[71],"tableau":[74],"formalism.":[75],"We":[76],"explore":[77],"various":[78],"design":[79],"choices":[80],"implement":[82],"most":[84],"efficient":[85],"version.":[86],"Our":[87,108],"significantly":[89],"outperforms":[90],"state-of-the-art":[92],"CCEC":[93],"checker":[94],"(which":[95],"relies":[96],"on":[97],"Stim":[99],"simulator)":[100],"terms":[102],"time,":[104],"memory,":[105],"energy.":[107],"approach":[109],"demonstrates":[110],"up":[111],"to":[112],"two":[113],"orders":[114],"magnitude":[116],"speedup":[117],"over":[118],"existing":[119],"methods.":[120],"Notably,":[121],"previous":[122],"attempts":[123],"at":[124],"GPU":[125],"acceleration":[126],"area":[129],"were":[130],"unsuccessful,":[131],"making":[132],"first":[135],"effective":[136],"implementation.":[137]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
