{"id":"https://openalex.org/W4402319877","doi":"https://doi.org/10.3390/e26090764","title":"Quantum State Combinatorics","display_name":"Quantum State Combinatorics","publication_year":2024,"publication_date":"2024-09-06","ids":{"openalex":"https://openalex.org/W4402319877","doi":"https://doi.org/10.3390/e26090764","pmid":"https://pubmed.ncbi.nlm.nih.gov/39330097"},"language":"en","primary_location":{"id":"doi:10.3390/e26090764","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26090764","pdf_url":"https://www.mdpi.com/1099-4300/26/9/764/pdf?version=1725613204","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/26/9/764/pdf?version=1725613204","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029838157","display_name":"Gregory D. Scholes","orcid":"https://orcid.org/0000-0003-3336-7960"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gregory D. Scholes","raw_affiliation_strings":["Department of Chemistry, Princeton University, Princeton, NJ 08544, USA"],"raw_orcid":"https://orcid.org/0000-0003-3336-7960","affiliations":[{"raw_affiliation_string":"Department of Chemistry, Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029838157"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.3147,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.64723929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"26","issue":"9","first_page":"764","last_page":"764"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9968000054359436,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9968000054359436,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.996399998664856,"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/multipartite","display_name":"Multipartite","score":0.7373046875},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.5712441802024841},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5306633710861206},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.516416609287262},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4312286078929901},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4238140881061554},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.41070249676704407},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.23356717824935913},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2271956205368042},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1471766233444214},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.12126287817955017}],"concepts":[{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.7373046875},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.5712441802024841},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5306633710861206},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.516416609287262},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4312286078929901},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4238140881061554},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.41070249676704407},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.23356717824935913},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2271956205368042},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1471766233444214},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.12126287817955017}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e26090764","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26090764","pdf_url":"https://www.mdpi.com/1099-4300/26/9/764/pdf?version=1725613204","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:39330097","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/39330097","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:pubmedcentral.nih.gov:11431343","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/11431343","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC11431343/pdf/entropy-26-00764.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:doaj.org/article:586b10fe5ce44b358ea0942de660e619","is_oa":true,"landing_page_url":"https://doaj.org/article/586b10fe5ce44b358ea0942de660e619","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":"Entropy, Vol 26, Iss 9, p 764 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e26090764","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e26090764","pdf_url":"https://www.mdpi.com/1099-4300/26/9/764/pdf?version=1725613204","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G250422146","display_name":null,"funder_award_id":"2211326","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402319877.pdf","grobid_xml":"https://content.openalex.org/works/W4402319877.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W390146837","https://openalex.org/W968859509","https://openalex.org/W1970948880","https://openalex.org/W1983610133","https://openalex.org/W1985737977","https://openalex.org/W1986556555","https://openalex.org/W1993828178","https://openalex.org/W2000377380","https://openalex.org/W2004304976","https://openalex.org/W2012724629","https://openalex.org/W2024902489","https://openalex.org/W2034920898","https://openalex.org/W2037787045","https://openalex.org/W2042135415","https://openalex.org/W2044857973","https://openalex.org/W2053561526","https://openalex.org/W2069367490","https://openalex.org/W2081563384","https://openalex.org/W2082249316","https://openalex.org/W2116102644","https://openalex.org/W2138163102","https://openalex.org/W2144126354","https://openalex.org/W2196991564","https://openalex.org/W2261843943","https://openalex.org/W2319096185","https://openalex.org/W2476848496","https://openalex.org/W2478722229","https://openalex.org/W2519383683","https://openalex.org/W2560122957","https://openalex.org/W2571167477","https://openalex.org/W2607120530","https://openalex.org/W2914356187","https://openalex.org/W2962935610","https://openalex.org/W3002134995","https://openalex.org/W3154899610","https://openalex.org/W4210731599","https://openalex.org/W4245608944","https://openalex.org/W4254094289","https://openalex.org/W4387773530","https://openalex.org/W4388445175","https://openalex.org/W4388479544","https://openalex.org/W4389774969","https://openalex.org/W4390098360"],"related_works":["https://openalex.org/W2015247312","https://openalex.org/W4293586444","https://openalex.org/W2950844200","https://openalex.org/W2953316924","https://openalex.org/W1623374383","https://openalex.org/W1964239688","https://openalex.org/W2963300021","https://openalex.org/W2276154663","https://openalex.org/W3102136442","https://openalex.org/W4221133975"],"abstract_inverted_index":{"This":[0],"paper":[1],"concerns":[2],"the":[3,44,56,73,81],"analysis":[4],"of":[5,18,47,76],"large":[6,23],"quantum":[7,19,24,34],"states.":[8],"It":[9],"is":[10,27],"a":[11,85],"notoriously":[12],"difficult":[13],"problem":[14],"to":[15,71],"quantify":[16],"separability":[17],"states,":[20,25],"and":[21],"for":[22,43],"it":[26],"unfeasible.":[28],"Here":[29],"we":[30,38],"posit":[31],"that":[32],"when":[33],"states":[35],"are":[36],"large,":[37],"can":[39,68],"deduce":[40],"reasonable":[41],"expectations":[42],"complex":[45],"structure":[46,75],"non-classical":[48],"multipartite":[49],"correlations":[50,78],"with":[51,60],"surprisingly":[52],"little":[53],"information":[54],"about":[55],"state.":[57,86],"We":[58],"show,":[59],"pegagogical":[61],"examples,":[62],"how":[63],"known":[64],"results":[65],"from":[66],"combinatorics":[67],"be":[69],"used":[70],"reveal":[72],"expected":[74],"various":[77],"hidden":[79],"in":[80],"ensemble":[82],"described":[83],"by":[84]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
