{"id":"https://openalex.org/W301678752","doi":"https://doi.org/10.1007/s00224-007-9092-8","title":"On the Theory of Matchgate Computations","display_name":"On the Theory of Matchgate Computations","publication_year":2007,"publication_date":"2007-06-01","ids":{"openalex":"https://openalex.org/W301678752","doi":"https://doi.org/10.1007/s00224-007-9092-8","mag":"301678752"},"language":"en","primary_location":{"id":"doi:10.1007/s00224-007-9092-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-007-9092-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","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/A5101599971","display_name":"Jin\u2010Yi Cai","orcid":"https://orcid.org/0009-0003-0675-6060"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jin-Yi Cai","raw_affiliation_strings":["Computer Sciences Department, University of Wisconsin, Madison, WI, USA"],"affiliations":[{"raw_affiliation_string":"Computer Sciences Department, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044159595","display_name":"Vinay Choudhary","orcid":null},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vinay Choudhary","raw_affiliation_strings":["Computer Sciences Department, University of Wisconsin, Madison, WI, USA"],"affiliations":[{"raw_affiliation_string":"Computer Sciences Department, University of Wisconsin, Madison, WI, USA","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"last","author":{"id":null,"display_name":"Pinyan Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pinyan Lu","raw_affiliation_strings":["Department of Computer Science & Technology, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science & Technology, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101599971"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.615,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.88708836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"45","issue":"1","first_page":"108","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5509740114212036},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4465385675430298},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3448546528816223},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31874316930770874},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18110543489456177}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5509740114212036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4465385675430298},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3448546528816223},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31874316930770874},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18110543489456177}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s00224-007-9092-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00224-007-9092-8","pdf_url":null,"source":{"id":"https://openalex.org/S4210177266","display_name":"Theory of Computing Systems","issn_l":"1432-4350","issn":["1432-4350","1433-0490"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing Systems","raw_type":"journal-article"},{"id":"doi:10.1109/ccc.2007.22","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ccc.2007.22","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Twenty-Second Annual IEEE Conference on Computational Complexity (CCC'07)","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.145.9091","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.145.9091","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.wisc.edu/~jyc/papers/matchgate-paper.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.634.4797","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.634.4797","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eccc.hpi-web.de/report/2006/018/download/","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.77.3699","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.77.3699","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.wisc.edu/~jyc/papers/matchgate-paper.ps","raw_type":"text"},{"id":"mag:301678752","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/eccc/eccc13.html#TR06-018","pdf_url":null,"source":{"id":"https://openalex.org/S11189987","display_name":"Electronic colloquium on computational complexity","issn_l":"1433-8092","issn":["1433-8092"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electronic colloquium on computational complexity","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W105846551","https://openalex.org/W1568175246","https://openalex.org/W1587478820","https://openalex.org/W1653035750","https://openalex.org/W2016511349","https://openalex.org/W2032292489","https://openalex.org/W2036481581","https://openalex.org/W2065813152","https://openalex.org/W2096486078","https://openalex.org/W2096891389","https://openalex.org/W2110851024","https://openalex.org/W2123280677","https://openalex.org/W2191109593","https://openalex.org/W2293541501","https://openalex.org/W2912949090"],"related_works":["https://openalex.org/W2032292489","https://openalex.org/W2065813152","https://openalex.org/W2627079561","https://openalex.org/W3106511654","https://openalex.org/W2523678010","https://openalex.org/W2096891389","https://openalex.org/W2096486078","https://openalex.org/W1653035750","https://openalex.org/W1554033614"],"abstract_inverted_index":{"Valiant":[0],"has":[1],"proposed":[2],"a":[3,30,73,99],"new":[4,26],"theory":[5,110,133],"of":[6,19,32,43,62,72,75,111,116,131,134],"algorithmic":[7],"computation":[8],"based":[9],"on":[10,88,127],"perfect":[11],"matchings":[12],"and":[13,45,137],"Pfaffians.":[14],"We":[15,28],"study":[16],"the":[17,94,109,128],"properties":[18],"matchgates\u2014the":[20],"basic":[21],"building":[22],"blocks":[23],"in":[24,68,108,114,124],"this":[25],"theory.":[27],"give":[29],"set":[31],"algebraic":[33],"identities":[34,48],"which":[35],"completely":[36],"characterizes":[37],"these":[38,79],"objects":[39],"for":[40],"arbitrary":[41],"numbers":[42],"inputs":[44],"outputs.":[46],"These":[47,65,120],"are":[49,61,122],"derived":[50],"from":[51],"Grassmann-Pl\u00fccker":[52],"identities.":[53],"The":[54],"4":[55,57,80,82],"by":[56,81],"matchgate":[58,96,135],"character":[59],"matrices":[60,90,97],"particular":[63],"interest.":[64],"were":[66],"used":[67],"Valiant's":[69,132],"classical":[70],"simulation":[71],"fragment":[74],"quantum":[76],"computations.":[77],"For":[78],"matchgates,":[83],"we":[84],"use":[85],"Jacobi's":[86],"theorem":[87],"compound":[89],"to":[91],"prove":[92],"that":[93],"invertible":[95],"form":[98],"multiplicative":[100],"group.":[101],"Our":[102],"results":[103,121],"can":[104],"also":[105],"be":[106],"expressed":[107],"Holographic":[112,138],"Algorithms":[113],"terms":[115],"realizable":[117],"standard":[118],"signatures.":[119],"useful":[123],"establishing":[125],"limitations":[126],"ultimate":[129],"capabilities":[130],"computations":[136],"Algorithms.":[139]},"counts_by_year":[{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
