{"id":"https://openalex.org/W4406359930","doi":"https://doi.org/10.22331/q-2025-01-14-1593","title":"Lower bounds for quantum-inspired classical algorithms via communication complexity","display_name":"Lower bounds for quantum-inspired classical algorithms via communication complexity","publication_year":2025,"publication_date":"2025-01-14","ids":{"openalex":"https://openalex.org/W4406359930","doi":"https://doi.org/10.22331/q-2025-01-14-1593"},"language":"en","primary_location":{"id":"doi:10.22331/q-2025-01-14-1593","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-01-14-1593","pdf_url":"https://quantum-journal.org/papers/q-2025-01-14-1593/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2025-01-14-1593/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027137684","display_name":"Nikhil S. Mande","orcid":"https://orcid.org/0000-0002-9520-7340"},"institutions":[{"id":"https://openalex.org/I146655781","display_name":"University of Liverpool","ror":"https://ror.org/04xs57h96","country_code":"GB","type":"education","lineage":["https://openalex.org/I146655781"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Nikhil S. Mande","raw_affiliation_strings":["Department of Computer Science, University of Liverpool, Liverpool L69 3BX, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Liverpool, Liverpool L69 3BX, UK","institution_ids":["https://openalex.org/I146655781"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044887714","display_name":"Changpeng Shao","orcid":"https://orcid.org/0000-0002-3008-7296"},"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/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changpeng Shao","raw_affiliation_strings":["Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190 China"],"affiliations":[{"raw_affiliation_string":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190 China","institution_ids":["https://openalex.org/I4210120485","https://openalex.org/I19820366"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027137684"],"corresponding_institution_ids":["https://openalex.org/I146655781"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":2.6124,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.88405287,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"9","issue":null,"first_page":"1593","last_page":"1593"},"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":0.9980000257492065,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9950000047683716,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5492737293243408},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5418835282325745},{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.5289832353591919},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44405311346054077},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39490240812301636},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17411702871322632},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.16049474477767944}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5492737293243408},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5418835282325745},{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.5289832353591919},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44405311346054077},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39490240812301636},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17411702871322632},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.16049474477767944}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2025-01-14-1593","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-01-14-1593","pdf_url":"https://quantum-journal.org/papers/q-2025-01-14-1593/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:8aeccdcfa3454b91b578bf1df64bc9da","is_oa":true,"landing_page_url":"https://doaj.org/article/8aeccdcfa3454b91b578bf1df64bc9da","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":"Quantum, Vol 9, p 1593 (2025)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2025-01-14-1593","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-01-14-1593","pdf_url":"https://quantum-journal.org/papers/q-2025-01-14-1593/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4406359930.pdf","grobid_xml":"https://content.openalex.org/works/W4406359930.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1492999010","https://openalex.org/W1980223785","https://openalex.org/W1984126159","https://openalex.org/W1988369744","https://openalex.org/W2002501531","https://openalex.org/W2012824096","https://openalex.org/W2084652510","https://openalex.org/W2156396224","https://openalex.org/W2568405002","https://openalex.org/W2583668981","https://openalex.org/W2795534239","https://openalex.org/W2805612073","https://openalex.org/W2880299821","https://openalex.org/W2964039664","https://openalex.org/W3086641254","https://openalex.org/W3101135395","https://openalex.org/W3104433882","https://openalex.org/W3105891955","https://openalex.org/W3136720484","https://openalex.org/W3192002582","https://openalex.org/W3211949586","https://openalex.org/W4254506466","https://openalex.org/W4297830893","https://openalex.org/W4386981983","https://openalex.org/W4390575967"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2940671439","https://openalex.org/W1501319629","https://openalex.org/W4301871063","https://openalex.org/W2465912158","https://openalex.org/W1506049346","https://openalex.org/W2402047242","https://openalex.org/W1500761685","https://openalex.org/W2082036845"],"abstract_inverted_index":{"Quantum-inspired":[0],"classical":[1],"algorithms":[2,31,106,142],"provide":[3],"us":[4],"with":[5],"a":[6,90,128],"new":[7],"way":[8],"to":[9,58,134],"understand":[10],"the":[11,25,55,97,101,110,120],"computational":[12],"power":[13],"of":[14,41,96,100,139],"quantum":[15,105,140,147],"computers":[16],"for":[17,32,62,71,113,143],"practically-relevant":[18],"problems,":[19,87,115],"especially":[20],"in":[21,50,94,109],"machine":[22],"learning.":[23],"In":[24],"past":[26],"several":[27],"years,":[28],"numerous":[29],"efficient":[30],"various":[33],"tasks":[34],"have":[35],"been":[36],"found,":[37],"while":[38],"an":[39],"analysis":[40,138],"lower":[42,60,69,92,136],"bounds":[43,61,70,137],"is":[44,123],"still":[45],"missing.":[46],"Using":[47],"communication":[48,148],"complexity,":[49],"this":[51],"work":[52],"we":[53,88,130],"propose":[54],"first":[56],"method":[57,133],"study":[59,135],"these":[63],"tasks.":[64],"We":[65],"mainly":[66],"focus":[67],"on":[68],"solving":[72],"linear":[73,108],"regressions,":[74],"supervised":[75],"clustering,":[76],"principal":[77],"component":[78],"analysis,":[79],"recommendation":[80],"systems,":[81],"and":[82],"Hamiltonian":[83],"simulations.":[84],"For":[85],"those":[86,114],"prove":[89],"quadratic":[91],"bound":[93],"terms":[95],"Frobenius":[98,111],"norm":[99,112],"underlying":[102],"matrix.":[103],"As":[104,127],"are":[107,152],"our":[116,132],"results":[117],"mean":[118],"that":[119],"quantum-classical":[121],"separation":[122],"at":[124],"least":[125],"quadratic.":[126],"generalisation,":[129],"extend":[131],"query":[141],"matrix-related":[144],"problems":[145],"using":[146],"complexity.":[149],"Some":[150],"applications":[151],"given.":[153]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
