{"id":"https://openalex.org/W2779911866","doi":"https://doi.org/10.1145/3158123","title":"Algorithmic analysis of termination problems for quantum programs","display_name":"Algorithmic analysis of termination problems for quantum programs","publication_year":2017,"publication_date":"2017-12-27","ids":{"openalex":"https://openalex.org/W2779911866","doi":"https://doi.org/10.1145/3158123","mag":"2779911866"},"language":"en","primary_location":{"id":"doi:10.1145/3158123","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3158123","pdf_url":"http://dl.acm.org/ft_gateway.cfm?id=3158123&type=pdf","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"http://dl.acm.org/ft_gateway.cfm?id=3158123&type=pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5078253695","display_name":"Yangjia Li","orcid":"https://orcid.org/0000-0001-7808-0934"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yangjia Li","raw_affiliation_strings":["Institute of Software at Chinese Academy of Sciences, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Software at Chinese Academy of Sciences, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I19820366"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023088481","display_name":"Mingsheng Ying","orcid":"https://orcid.org/0000-0003-4847-702X"},"institutions":[{"id":"https://openalex.org/I114017466","display_name":"University of Technology Sydney","ror":"https://ror.org/03f0f6041","country_code":"AU","type":"education","lineage":["https://openalex.org/I114017466"]},{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210128818","display_name":"Institute of Software","ror":"https://ror.org/033dfsn42","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210128818"]},{"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":["AU","CN"],"is_corresponding":false,"raw_author_name":"Mingsheng Ying","raw_affiliation_strings":["University of Technology Sydney, Australia / Institute of Software at Chinese Academy of Sciences, China / Tsinghua University, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Technology Sydney, Australia / Institute of Software at Chinese Academy of Sciences, China / Tsinghua University, China","institution_ids":["https://openalex.org/I4210128818","https://openalex.org/I99065089","https://openalex.org/I114017466","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4458,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.87347027,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2","issue":"POPL","first_page":"1","last_page":"29"},"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9745000004768372,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9664999842643738,"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/nondeterministic-algorithm","display_name":"Nondeterministic algorithm","score":0.5687631964683533},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5267752408981323},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.5150227546691895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.42597270011901855},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.42556047439575195},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41527464985847473},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.4101816713809967},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3305419087409973},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.19066104292869568},{"id":"https://openalex.org/keywords/open-quantum-system","display_name":"Open quantum system","score":0.17982348799705505},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1463887095451355}],"concepts":[{"id":"https://openalex.org/C176181172","wikidata":"https://www.wikidata.org/wiki/Q3490301","display_name":"Nondeterministic algorithm","level":2,"score":0.5687631964683533},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5267752408981323},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.5150227546691895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.42597270011901855},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.42556047439575195},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41527464985847473},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.4101816713809967},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3305419087409973},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.19066104292869568},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.17982348799705505},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1463887095451355}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3158123","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3158123","pdf_url":"http://dl.acm.org/ft_gateway.cfm?id=3158123&type=pdf","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1145/3158123","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3158123","pdf_url":"http://dl.acm.org/ft_gateway.cfm?id=3158123&type=pdf","source":{"id":"https://openalex.org/S4210216081","display_name":"Proceedings of the ACM on Programming Languages","issn_l":"2475-1421","issn":["2475-1421"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the ACM on Programming Languages","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1915554876","display_name":null,"funder_award_id":"DP160101652","funder_id":"https://openalex.org/F4320334704","funder_display_name":"Australian Research Council"},{"id":"https://openalex.org/G8088335642","display_name":null,"funder_award_id":"61502467","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"},{"id":"https://openalex.org/F4320334704","display_name":"Australian Research Council","ror":"https://ror.org/05mmh0f86"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2779911866.pdf","grobid_xml":"https://content.openalex.org/works/W2779911866.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W72346910","https://openalex.org/W1498858133","https://openalex.org/W1505135855","https://openalex.org/W1530375435","https://openalex.org/W1551954541","https://openalex.org/W1563374593","https://openalex.org/W1605543919","https://openalex.org/W1608799719","https://openalex.org/W1614518745","https://openalex.org/W1630029119","https://openalex.org/W1665191561","https://openalex.org/W1701051220","https://openalex.org/W1725015669","https://openalex.org/W1802214495","https://openalex.org/W1855444172","https://openalex.org/W1871170357","https://openalex.org/W1985617186","https://openalex.org/W1988413534","https://openalex.org/W1999626800","https://openalex.org/W2004330986","https://openalex.org/W2016769804","https://openalex.org/W2029010113","https://openalex.org/W2044357043","https://openalex.org/W2044912742","https://openalex.org/W2054665888","https://openalex.org/W2069300761","https://openalex.org/W2070217890","https://openalex.org/W2079572249","https://openalex.org/W2081320273","https://openalex.org/W2122240948","https://openalex.org/W2126098510","https://openalex.org/W2138408756","https://openalex.org/W2155544688","https://openalex.org/W2157601714","https://openalex.org/W2160347025","https://openalex.org/W2166496828","https://openalex.org/W2222812367","https://openalex.org/W2233431969","https://openalex.org/W2256047742","https://openalex.org/W2293720162","https://openalex.org/W2294463722","https://openalex.org/W2562491126","https://openalex.org/W2563269605","https://openalex.org/W2605302905","https://openalex.org/W2914012520","https://openalex.org/W2949292350","https://openalex.org/W2962822640","https://openalex.org/W2963787308","https://openalex.org/W3007889862","https://openalex.org/W3022578515","https://openalex.org/W3037143906","https://openalex.org/W3102775972","https://openalex.org/W3105690832","https://openalex.org/W4238447024","https://openalex.org/W4238931494","https://openalex.org/W4244716531","https://openalex.org/W4251912342"],"related_works":["https://openalex.org/W4312767299","https://openalex.org/W2086739298","https://openalex.org/W293383775","https://openalex.org/W2073750762","https://openalex.org/W3037811760","https://openalex.org/W3135965074","https://openalex.org/W3136692184","https://openalex.org/W4287750854","https://openalex.org/W2084238029","https://openalex.org/W2783971937"],"abstract_inverted_index":{"We":[0,54],"introduce":[1],"the":[2,27,30,40,58,82,96,125,133,143,152],"notion":[3],"of":[4,29,32,43,52,63,98,121,154,164],"linear":[5],"ranking":[6],"super-martingale":[7],"(LRSM)":[8],"for":[9,65,111,128],"quantum":[10,34,44,66,101,104,108,148,169],"programs":[11,45,67,130],"(with":[12],"nondeterministic":[13],"choices,":[14],"namely":[15],"angelic":[16],"and":[17,50,60,107,156],"demonic":[18],"choices).":[19],"Several":[20],"termination":[21,41,97],"theorems":[22],"are":[23,92],"established":[24],"showing":[25],"that":[26,57],"existence":[28],"LRSMs":[31,64],"a":[33,119,158],"program":[35],"implies":[36],"its":[37],"termination.":[38],"Thus,":[39],"problems":[42,127],"is":[46,117],"reduced":[47,70],"to":[48,71,94,124,150],"realisability":[49,59],"synthesis":[51,61],"LRSMs.":[53],"further":[55],"show":[56],"problem":[62],"can":[68,78],"be":[69,79],"an":[72],"SDP":[73,84],"(Semi-Definite":[74],"Programming)":[75],"problem,":[76],"which":[77],"settled":[80],"with":[81],"existing":[83],"solvers.":[85],"The":[86],"techniques":[87],"developed":[88,131],"in":[89,132,147,162,168],"this":[90],"paper":[91],"used":[93],"analyse":[95],"several":[99],"example":[100],"programs,":[102],"including":[103],"random":[105,112],"walks":[106],"Bernoulli":[109],"factory":[110],"number":[113],"generation.":[114],"This":[115],"work":[116],"essentially":[118],"generalisation":[120],"constraint-based":[122],"approach":[123],"corresponding":[126],"probabilistic":[129],"recent":[134],"literature":[135],"by":[136],"adding":[137],"two":[138],"novel":[139],"ideas:":[140],"(1)":[141],"employing":[142],"fundamental":[144],"Gleason's":[145],"theorem":[146],"mechanics":[149],"guide":[151],"choices":[153],"templates;":[155],"(2)":[157],"generalised":[159],"Farkas'":[160],"lemma":[161],"terms":[163],"observables":[165],"(Hermitian":[166],"operators)":[167],"physics.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}