{"id":"https://openalex.org/W4402345984","doi":"https://doi.org/10.22331/q-2025-05-28-1756","title":"Renormalisation of Quantum Cellular Automata","display_name":"Renormalisation of Quantum Cellular Automata","publication_year":2025,"publication_date":"2025-05-28","ids":{"openalex":"https://openalex.org/W4402345984","doi":"https://doi.org/10.22331/q-2025-05-28-1756"},"language":"en","primary_location":{"id":"doi:10.22331/q-2025-05-28-1756","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-05-28-1756","pdf_url":"https://quantum-journal.org/papers/q-2025-05-28-1756/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":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2025-05-28-1756/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5107077642","display_name":"Lorenzo Siro Trezzini","orcid":null},"institutions":[{"id":"https://openalex.org/I160013858","display_name":"Istituto Nazionale di Fisica Nucleare","ror":"https://ror.org/005ta0471","country_code":"IT","type":"government","lineage":["https://openalex.org/I160013858"]},{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Lorenzo Siro Trezzini","raw_affiliation_strings":["Dipartimento di Fisica dell&apos;Universit\u00e0 di Pavia, via Bassi 6, 27100 Pavia","Istituto Nazionale di Fisica Nucleare, Gruppo IV, via Bassi 6, 27100 Pavia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica dell&apos;Universit\u00e0 di Pavia, via Bassi 6, 27100 Pavia","institution_ids":["https://openalex.org/I25217355"]},{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare, Gruppo IV, via Bassi 6, 27100 Pavia","institution_ids":["https://openalex.org/I160013858"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017450805","display_name":"Alessandro Bisio","orcid":"https://orcid.org/0000-0002-9356-3448"},"institutions":[{"id":"https://openalex.org/I160013858","display_name":"Istituto Nazionale di Fisica Nucleare","ror":"https://ror.org/005ta0471","country_code":"IT","type":"government","lineage":["https://openalex.org/I160013858"]},{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Bisio","raw_affiliation_strings":["Dipartimento di Fisica dell&apos;Universit\u00e0 di Pavia, via Bassi 6, 27100 Pavia","Istituto Nazionale di Fisica Nucleare, Gruppo IV, via Bassi 6, 27100 Pavia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica dell&apos;Universit\u00e0 di Pavia, via Bassi 6, 27100 Pavia","institution_ids":["https://openalex.org/I25217355"]},{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare, Gruppo IV, via Bassi 6, 27100 Pavia","institution_ids":["https://openalex.org/I160013858"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056828139","display_name":"Paolo Perinotti","orcid":"https://orcid.org/0000-0003-4825-4264"},"institutions":[{"id":"https://openalex.org/I160013858","display_name":"Istituto Nazionale di Fisica Nucleare","ror":"https://ror.org/005ta0471","country_code":"IT","type":"government","lineage":["https://openalex.org/I160013858"]},{"id":"https://openalex.org/I25217355","display_name":"University of Pavia","ror":"https://ror.org/00s6t1f81","country_code":"IT","type":"education","lineage":["https://openalex.org/I25217355"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Perinotti","raw_affiliation_strings":["Dipartimento di Fisica dell&apos;Universit\u00e0 di Pavia, via Bassi 6, 27100 Pavia","Istituto Nazionale di Fisica Nucleare, Gruppo IV, via Bassi 6, 27100 Pavia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica dell&apos;Universit\u00e0 di Pavia, via Bassi 6, 27100 Pavia","institution_ids":["https://openalex.org/I25217355"]},{"raw_affiliation_string":"Istituto Nazionale di Fisica Nucleare, Gruppo IV, via Bassi 6, 27100 Pavia","institution_ids":["https://openalex.org/I160013858"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":0.6825,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.68373227,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"9","issue":null,"first_page":"1756","last_page":"1756"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9983000159263611,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9983000159263611,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9983000159263611,"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/cellular-automaton","display_name":"Cellular automaton","score":0.765346109867096},{"id":"https://openalex.org/keywords/quantum-cellular-automaton","display_name":"Quantum cellular automaton","score":0.6151434183120728},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5871166586875916},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48117002844810486},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.3503304421901703},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.34637439250946045},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3371945917606354},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2729087173938751},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13298985362052917}],"concepts":[{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.765346109867096},{"id":"https://openalex.org/C68576872","wikidata":"https://www.wikidata.org/wiki/Q4893239","display_name":"Quantum cellular automaton","level":3,"score":0.6151434183120728},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5871166586875916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48117002844810486},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3503304421901703},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34637439250946045},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3371945917606354},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2729087173938751},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13298985362052917}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.22331/q-2025-05-28-1756","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-05-28-1756","pdf_url":"https://quantum-journal.org/papers/q-2025-05-28-1756/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:arXiv.org:2407.12652","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2407.12652","pdf_url":"https://arxiv.org/pdf/2407.12652","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:ca1445efaffb44e28ab13af4d22a2a13","is_oa":true,"landing_page_url":"https://doaj.org/article/ca1445efaffb44e28ab13af4d22a2a13","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 9, p 1756 (2025)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2407.12652","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2407.12652","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.22331/q-2025-05-28-1756","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-05-28-1756","pdf_url":"https://quantum-journal.org/papers/q-2025-05-28-1756/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":[{"id":"https://openalex.org/F4320310077","display_name":"National Research Centre","ror":"https://ror.org/02n85j827"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402345984.pdf","grobid_xml":"https://content.openalex.org/works/W4402345984.grobid-xml"},"referenced_works_count":50,"referenced_works":["https://openalex.org/W2179731956","https://openalex.org/W2617509089","https://openalex.org/W2079706860","https://openalex.org/W2142902085","https://openalex.org/W4394655193","https://openalex.org/W2134500169","https://openalex.org/W4254881691","https://openalex.org/W1609371467","https://openalex.org/W1584475282","https://openalex.org/W1973235986","https://openalex.org/W1823599478","https://openalex.org/W2004239847","https://openalex.org/W1583129784","https://openalex.org/W2949392700","https://openalex.org/W3001487171","https://openalex.org/W2767433143","https://openalex.org/W2995814735","https://openalex.org/W4229448872","https://openalex.org/W3046030825","https://openalex.org/W4210255574","https://openalex.org/W4394007043","https://openalex.org/W2952652949","https://openalex.org/W2514500626","https://openalex.org/W2963292823","https://openalex.org/W2046439097","https://openalex.org/W2990918514","https://openalex.org/W588859026","https://openalex.org/W2319680621","https://openalex.org/W2246296081","https://openalex.org/W2079216472","https://openalex.org/W2121741559","https://openalex.org/W2088452582","https://openalex.org/W3150276750","https://openalex.org/W1964899102","https://openalex.org/W4309680656","https://openalex.org/W2781738013","https://openalex.org/W4403187507","https://openalex.org/W2767729178","https://openalex.org/W2012949987","https://openalex.org/W2616999783","https://openalex.org/W2504933543","https://openalex.org/W4300128422","https://openalex.org/W2032617180","https://openalex.org/W1569528011","https://openalex.org/W3216596196","https://openalex.org/W3184333880","https://openalex.org/W4391808578","https://openalex.org/W4386563221","https://openalex.org/W2123443493","https://openalex.org/W6827099542"],"related_works":["https://openalex.org/W2107154702","https://openalex.org/W2079706860","https://openalex.org/W2060181746","https://openalex.org/W2069385581","https://openalex.org/W2092587764","https://openalex.org/W3128804579","https://openalex.org/W2187750912","https://openalex.org/W1980233874","https://openalex.org/W2376768652","https://openalex.org/W2141069492"],"abstract_inverted_index":{"We":[0,62],"study":[1],"a":[2,22,32,46,51,64,83],"coarse-graining":[3],"procedure":[4],"for":[5,69],"quantum":[6,53],"cellular":[7,54,80],"automata":[8,81],"on":[9,82],"hypercubic":[10],"lattices":[11],"that":[12,34],"consists":[13],"in":[14,30],"grouping":[15],"neighboring":[16,97],"cells":[17,57,87],"into":[18],"tiles":[19,92],"and":[20,66,71,90,104],"selecting":[21],"subspace":[23,41],"within":[24],"each":[25],"tile.":[26],"This":[27],"is":[28,101],"done":[29],"such":[31],"way":[33],"multiple":[35],"evolution":[36,48],"steps":[37],"applied":[38],"to":[39,74],"this":[40],"can":[42],"be":[43],"viewed":[44],"as":[45],"single":[47],"step":[49],"of":[50,79,95,108],"new":[52],"automaton,":[55],"whose":[56],"are":[58,88,93,112],"the":[59,76,86,91,105,109],"subspaces":[60],"themselves.":[61],"derive":[63],"necessary":[65],"sufficient":[67],"condition":[68],"renormalizability":[70],"use":[72],"it":[73],"investigate":[75],"renormalization":[77,110],"flow":[78,111],"line,":[84],"where":[85],"qubits":[89],"composed":[94],"two":[96],"cells.":[98],"The":[99],"problem":[100],"exhaustively":[102],"solved,":[103],"fixed":[106],"points":[107],"highlighted.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-08-18T07:49:30.821534","created_date":"2024-09-09T00:00:00"}
