{"id":"https://openalex.org/W4398132954","doi":"https://doi.org/10.46298/lmcs-20(2:10)2024","title":"Addition and Differentiation of ZX-diagrams","display_name":"Addition and Differentiation of ZX-diagrams","publication_year":2024,"publication_date":"2024-05-20","ids":{"openalex":"https://openalex.org/W4398132954","doi":"https://doi.org/10.46298/lmcs-20(2:10)2024"},"language":"en","primary_location":{"id":"doi:10.46298/lmcs-20(2:10)2024","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-20(2:10)2024","pdf_url":"https://lmcs.episciences.org/13625/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://lmcs.episciences.org/13625/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020089810","display_name":"Emmanuel Jeandel","orcid":"https://orcid.org/0000-0001-7236-2906"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I4210127166","display_name":"Centre Inria de l'Universit\u00e9 de Lorraine","ror":"https://ror.org/03fcjvn64","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210127166"]},{"id":"https://openalex.org/I4210110412","display_name":"D\u00e9l\u00e9gation Centre-Est","ror":"https://ror.org/01tz1zp46","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210110412","https://openalex.org/I4210139971"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Emmanuel Jeandel","raw_affiliation_strings":["LORIA, Campus scientifique, BP 239, 54506, Vandoeuvre-l\u00e8s-Nancy Cedex, France","CNRS, D\u00e9l\u00e9gation Centre-Est, 17 rue Notre-Dame des Pauvres, BP 10075, 54519, Vandoeuvre-l\u00e8s-Nancy Cedex, France","Universit\u00e9 de Lorraine, 34 cours L\u00e9opold, 54052, Nancy Cedex, France","Inria MOCQUA, 615 Rue du Jardin-Botanique, 54600 Villers-l\u00e8s-Nancy, France"],"affiliations":[{"raw_affiliation_string":"LORIA, Campus scientifique, BP 239, 54506, Vandoeuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I4210121838"]},{"raw_affiliation_string":"CNRS, D\u00e9l\u00e9gation Centre-Est, 17 rue Notre-Dame des Pauvres, BP 10075, 54519, Vandoeuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I4210110412","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Universit\u00e9 de Lorraine, 34 cours L\u00e9opold, 54052, Nancy Cedex, France","institution_ids":["https://openalex.org/I90183372"]},{"raw_affiliation_string":"Inria MOCQUA, 615 Rue du Jardin-Botanique, 54600 Villers-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I4210127166"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029014455","display_name":"Simon Perdrix","orcid":"https://orcid.org/0000-0002-1808-2409"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]},{"id":"https://openalex.org/I4210127166","display_name":"Centre Inria de l'Universit\u00e9 de Lorraine","ror":"https://ror.org/03fcjvn64","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210127166"]},{"id":"https://openalex.org/I4210110412","display_name":"D\u00e9l\u00e9gation Centre-Est","ror":"https://ror.org/01tz1zp46","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210110412","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Simon Perdrix","raw_affiliation_strings":["Universit\u00e9 de Lorraine, 34 cours L\u00e9opold, 54052, Nancy Cedex, France","LORIA, Campus scientifique, BP 239, 54506, Vandoeuvre-l\u00e8s-Nancy Cedex, France","CNRS, D\u00e9l\u00e9gation Centre-Est, 17 rue Notre-Dame des Pauvres, BP 10075, 54519, Vandoeuvre-l\u00e8s-Nancy Cedex, France","Inria MOCQUA, 615 Rue du Jardin-Botanique, 54600 Villers-l\u00e8s-Nancy, France"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 de Lorraine, 34 cours L\u00e9opold, 54052, Nancy Cedex, France","institution_ids":["https://openalex.org/I90183372"]},{"raw_affiliation_string":"LORIA, Campus scientifique, BP 239, 54506, Vandoeuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I4210121838"]},{"raw_affiliation_string":"CNRS, D\u00e9l\u00e9gation Centre-Est, 17 rue Notre-Dame des Pauvres, BP 10075, 54519, Vandoeuvre-l\u00e8s-Nancy Cedex, France","institution_ids":["https://openalex.org/I4210110412","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Inria MOCQUA, 615 Rue du Jardin-Botanique, 54600 Villers-l\u00e8s-Nancy, France","institution_ids":["https://openalex.org/I4210127166"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064570602","display_name":"Margarita Veshchezerova","orcid":null},"institutions":[{"id":"https://openalex.org/I4210121585","display_name":"Terra Quantum (Switzerland)","ror":"https://ror.org/02y8r3w10","country_code":"CH","type":"company","lineage":["https://openalex.org/I4210121585"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Margarita Veshchezerova","raw_affiliation_strings":["Terra Quantum AG, St. Gallerstrasse 16A, 9400 Rorschach, Switzerland"],"affiliations":[{"raw_affiliation_string":"Terra Quantum AG, St. Gallerstrasse 16A, 9400 Rorschach, Switzerland","institution_ids":["https://openalex.org/I4210121585"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020089810"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210110412","https://openalex.org/I4210121838","https://openalex.org/I4210127166","https://openalex.org/I90183372"],"apc_list":null,"apc_paid":null,"fwci":1.0193,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.79266753,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"Volume 20, Issue 2","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9976999759674072,"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":0.9976999759674072,"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/T10211","display_name":"Computational Drug Discovery Methods","score":0.9919999837875366,"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/T11948","display_name":"Machine Learning in Materials Science","score":0.9746000170707703,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials 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":0.5460576415061951},{"id":"https://openalex.org/keywords/diagram","display_name":"Diagram","score":0.43199318647384644},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33125221729278564},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.09126362204551697}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5460576415061951},{"id":"https://openalex.org/C186399060","wikidata":"https://www.wikidata.org/wiki/Q959962","display_name":"Diagram","level":2,"score":0.43199318647384644},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33125221729278564},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.09126362204551697}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.46298/lmcs-20(2:10)2024","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-20(2:10)2024","pdf_url":"https://lmcs.episciences.org/13625/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:c84a6175b78348928e474eeba0d2d31e","is_oa":true,"landing_page_url":"https://doaj.org/article/c84a6175b78348928e474eeba0d2d31e","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Logical Methods in Computer Science, Vol Volume 20, Issue 2 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.46298/lmcs-20(2:10)2024","is_oa":true,"landing_page_url":"https://doi.org/10.46298/lmcs-20(2:10)2024","pdf_url":"https://lmcs.episciences.org/13625/pdf","source":{"id":"https://openalex.org/S114379355","display_name":"Logical Methods in Computer Science","issn_l":"1860-5974","issn":["1860-5974"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313916","host_organization_name":"Logical Methods in Computer Science e.V.","host_organization_lineage":["https://openalex.org/P4310313916"],"host_organization_lineage_names":["Logical Methods in Computer Science e.V."],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Logical Methods in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4398132954.pdf"},"referenced_works_count":51,"referenced_works":["https://openalex.org/W1486765721","https://openalex.org/W1568345435","https://openalex.org/W1617295181","https://openalex.org/W2102162525","https://openalex.org/W2144309163","https://openalex.org/W2161685427","https://openalex.org/W2318411205","https://openalex.org/W2573722252","https://openalex.org/W2600825956","https://openalex.org/W2601605172","https://openalex.org/W2784637752","https://openalex.org/W2790388700","https://openalex.org/W2798910219","https://openalex.org/W2901329658","https://openalex.org/W2903221501","https://openalex.org/W2922906818","https://openalex.org/W2938297835","https://openalex.org/W2963618180","https://openalex.org/W2964268018","https://openalex.org/W2966537942","https://openalex.org/W3045951809","https://openalex.org/W3049070297","https://openalex.org/W3082562307","https://openalex.org/W3098240272","https://openalex.org/W3098268180","https://openalex.org/W3099344125","https://openalex.org/W3100931082","https://openalex.org/W3102199725","https://openalex.org/W3103164351","https://openalex.org/W3104396616","https://openalex.org/W3104500086","https://openalex.org/W3104680338","https://openalex.org/W3105463217","https://openalex.org/W3105893726","https://openalex.org/W3111162498","https://openalex.org/W3136233239","https://openalex.org/W3153083735","https://openalex.org/W3169377977","https://openalex.org/W3185866018","https://openalex.org/W3199543116","https://openalex.org/W3200790102","https://openalex.org/W3213910114","https://openalex.org/W4220747861","https://openalex.org/W4226283473","https://openalex.org/W4286904798","https://openalex.org/W4287548337","https://openalex.org/W4289105161","https://openalex.org/W4388667215","https://openalex.org/W4388667423","https://openalex.org/W4392227963","https://openalex.org/W4398132954"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"The":[0,42],"ZX-calculus":[1,27],"is":[2,28,119,136],"a":[3,15,32,63,67,97,171],"powerful":[4],"framework":[5],"for":[6,50,128,173],"reasoning":[7],"in":[8,13,101,121],"quantum":[9,122,125],"computing.":[10],"It":[11],"provides":[12],"particular":[14],"compact":[16],"representation":[17],"of":[18,20,25,31,39,44,56,71,74,80,93,104,115,134,161],"matrices":[19],"interests.":[21],"A":[22],"peculiar":[23],"property":[24],"the":[26,29,36,45,54,72,78,102,110,144,159,162],"absence":[30],"formal":[33],"sum":[34,55],"allowing":[35],"linear":[37],"combinations":[38],"arbitrary":[40],"ZX-diagrams.":[41,94],"universality":[43],"formalism":[46],"guarantees":[47],"however":[48],"that":[49],"any":[51],"two":[52],"ZX-diagrams,":[53,75],"their":[57],"interpretations":[58],"can":[59,108],"be":[60],"represented":[61],"by":[62,143],"ZX-diagram.":[64],"We":[65,147],"introduce":[66,149],"general,":[68],"inductive":[69,91],"definition":[70],"addition":[73,86],"relying":[76],"on":[77,84,158],"construction":[79],"controlled":[81],"diagrams.":[82],"Based":[83],"this":[85],"technique,":[87],"we":[88,165],"provide":[89],"an":[90,150,174],"differentiation":[92,133,154],"Indeed,":[95],"given":[96],"ZX-diagram":[98],"with":[99],"variables":[100],"description":[103],"its":[105],"angles,":[106],"one":[107,114],"differentiate":[109],"diagram":[111,172],"according":[112],"to":[113,139,169],"these":[116],"variables.":[117,163],"Differentiation":[118],"ubiquitous":[120],"mechanics":[123],"and":[124],"computing":[126],"(e.g.":[127],"solving":[129],"optimization":[130],"problems).":[131],"Technically,":[132],"ZX-diagrams":[135],"strongly":[137],"related":[138],"summation":[140],"as":[141],"witnessed":[142],"product":[145],"rules.":[146],"also":[148],"alternative,":[151],"non":[152],"inductive,":[153],"technique":[155],"rather":[156],"based":[157],"isolation":[160],"Finally,":[164],"apply":[166],"our":[167],"results":[168],"deduce":[170],"Ising":[175],"Hamiltonian.":[176]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-12T07:58:50.170612","created_date":"2025-10-10T00:00:00"}