{"id":"https://openalex.org/W3133662679","doi":null,"title":"Quantum interpolating ensemble: Average entropies and orthogonal polynomials.","display_name":"Quantum interpolating ensemble: Average entropies and orthogonal polynomials.","publication_year":2021,"publication_date":"2021-03-07","ids":{"openalex":"https://openalex.org/W3133662679","mag":"3133662679"},"language":"en","primary_location":{"id":"mag:3133662679","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2103.04231","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.04231","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003062979","display_name":"Lu Wei","orcid":"https://orcid.org/0000-0002-8065-0956","observed_orcids":["https://orcid.org/0000-0002-8065-0956"]},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lu Wei","raw_affiliation_strings":["\u2020University of Michigan"],"raw_orcid":"https://orcid.org/0000-0002-8065-0956","affiliations":[{"raw_affiliation_string":"\u2020University of Michigan","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088657496","display_name":"Nicholas S. Witte","orcid":"https://orcid.org/0000-0001-7537-8444","observed_orcids":["https://orcid.org/0000-0001-7537-8444"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N. S. Witte","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7537-8444","affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.26660001277923584,"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":0.26660001277923584,"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/T11804","display_name":"Quantum many-body systems","score":0.24130000174045563,"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/T11716","display_name":"Random Matrices and Applications","score":0.16019999980926514,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/density-matrix","display_name":"density matrix","score":0.7540000081062317},{"id":"https://openalex.org/keywords/entanglement-entropy","display_name":"entanglement entropy","score":0.9729999899864197},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"orthogonal polynomials","score":0.9940000176429749},{"id":"https://openalex.org/keywords/entanglement-measures","display_name":"entanglement measures","score":0.6050000190734863},{"id":"https://openalex.org/keywords/random-quantum-states","display_name":"random quantum states","score":0.6510000228881836}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7240530252456665},{"id":"https://openalex.org/C50311922","wikidata":"https://www.wikidata.org/wiki/Q898535","display_name":"Statistical ensemble","level":4,"score":0.6046686172485352},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.559653639793396},{"id":"https://openalex.org/C101683677","wikidata":"https://www.wikidata.org/wiki/Q1077769","display_name":"Microcanonical ensemble","level":4,"score":0.5589296817779541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5550485253334045},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.5526703000068665},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5382250547409058},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.5070829391479492},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4497348368167877},{"id":"https://openalex.org/C28556851","wikidata":"https://www.wikidata.org/wiki/Q1077753","display_name":"Canonical ensemble","level":3,"score":0.3872279226779938},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34372907876968384},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2780890464782715},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1884250044822693},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13997340202331543},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.12599217891693115}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:3133662679","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2103.04231","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:3133662679","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2103.04231","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,"listed_in":[],"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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W191636288","https://openalex.org/W1847104943","https://openalex.org/W1971768648","https://openalex.org/W1982067110","https://openalex.org/W1982280451","https://openalex.org/W1992996794","https://openalex.org/W1995999485","https://openalex.org/W2002610419","https://openalex.org/W2004353938","https://openalex.org/W2010072976","https://openalex.org/W2016997301","https://openalex.org/W2027976682","https://openalex.org/W2029381768","https://openalex.org/W2059682894","https://openalex.org/W2068531581","https://openalex.org/W2091286941","https://openalex.org/W2107320948","https://openalex.org/W2268949487","https://openalex.org/W2277144138","https://openalex.org/W2707643419","https://openalex.org/W2755803912","https://openalex.org/W2781543274","https://openalex.org/W2947175055","https://openalex.org/W2953191728","https://openalex.org/W2964214878","https://openalex.org/W2977857491","https://openalex.org/W3005952766","https://openalex.org/W3037699268","https://openalex.org/W3101269168","https://openalex.org/W3101924716","https://openalex.org/W3103281878","https://openalex.org/W3103585784","https://openalex.org/W3104522527","https://openalex.org/W3122484552"],"related_works":["https://openalex.org/W4296708559","https://openalex.org/W7125271207","https://openalex.org/W2016176419","https://openalex.org/W2004304976","https://openalex.org/W3181003382","https://openalex.org/W1992996794","https://openalex.org/W4313611813","https://openalex.org/W4390818713","https://openalex.org/W2027454782","https://openalex.org/W2078133561"],"abstract_inverted_index":{"The":[0],"density":[1,20,46],"matrix":[2],"formalism":[3],"is":[4,53],"a":[5,42,64],"fundamental":[6],"tool":[7],"in":[8,12,89,121],"studying":[9],"various":[10],"problems":[11],"quantum":[13,49,128],"information":[14,108],"processing.":[15],"In":[16,37],"the":[17,22,30,34,69,74,90,99,110,115,118,123],"space":[18],"of":[19,45,78,98,109,117,125,127],"matrices,":[21,47],"most":[23],"well-known":[24],"and":[25,33],"physically":[26],"relevant":[27,103],"measures":[28],"are":[29],"Hilbert-Schmidt":[31],"ensemble":[32,44,84,120],"Bures-Hall":[35],"ensemble.":[36],"this":[38],"work,":[39],"we":[40,72],"propose":[41],"generalized":[43],"termed":[48],"interpolating":[50],"ensemble,":[51,71],"which":[52],"able":[54],"to":[55,67,104],"interpolate":[56],"between":[57],"these":[58],"two":[59],"seemingly":[60],"unrelated":[61],"ensembles.":[62],"As":[63],"first":[65],"step":[66],"understand":[68],"proposed":[70,119],"derive":[73,94],"exact":[75],"mean":[76],"formulas":[77],"entanglement":[79,126],"entropies":[80],"over":[81],"such":[82],"an":[83],"generalizing":[85],"several":[86],"recent":[87],"results":[88,113],"literature.":[91],"We":[92],"also":[93],"some":[95],"key":[96],"properties":[97],"corresponding":[100],"orthogonal":[101],"polynomials":[102],"obtaining":[105],"other":[106],"statistical":[107],"entropies.":[111],"Numerical":[112],"demonstrate":[114],"usefulness":[116],"estimating":[122],"degree":[124],"states.":[129]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2021-03-15T00:00:00"}