{"id":"https://openalex.org/W7225186154","doi":"https://doi.org/10.5281/zenodo.23927231","title":"Unrestricted Two-Qubit Fourth-Resolvent-Moment Tensorisation","display_name":"Unrestricted Two-Qubit Fourth-Resolvent-Moment Tensorisation","publication_year":2026,"publication_date":"2026-11-04","ids":{"openalex":"https://openalex.org/W7225186154","doi":"https://doi.org/10.5281/zenodo.23927231"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23927231","doi":"https://doi.org/10.5281/zenodo.23927231","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23927231","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23927231","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5146382536","display_name":"Kias Henry","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Henry, Kias","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5146382536"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"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/T11564","display_name":"Mathematical Inequalities and Applications","score":0.5077999830245972,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11564","display_name":"Mathematical Inequalities and Applications","score":0.5077999830245972,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.219200000166893,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.1768999993801117,"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/qubit-states","display_name":"qubit states","score":0.4909999966621399},{"id":"https://openalex.org/keywords/sharp-constants","display_name":"sharp constants","score":0.5400000214576721},{"id":"https://openalex.org/keywords/majorization","display_name":"majorization","score":0.9879999756813049}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7511000037193298},{"id":"https://openalex.org/C196267783","wikidata":"https://www.wikidata.org/wiki/Q4392490","display_name":"Resolvent","level":2,"score":0.5616000294685364},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5146999955177307},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.4293000102043152},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4052000045776367},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.3917999863624573},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.3587000072002411},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3492000102996826},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32829999923706055},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.301800012588501},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26429998874664307},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.26409998536109924},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.25270000100135803}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.5281/zenodo.23927231","doi":"https://doi.org/10.5281/zenodo.23927231","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23927231","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23927232","doi":"https://doi.org/10.5281/zenodo.23927232","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23927232","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23935160","doi":"https://doi.org/10.5281/zenodo.23935160","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23935160","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23941837","doi":"https://doi.org/10.5281/zenodo.23941837","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23941837","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23927231","doi":"https://doi.org/10.5281/zenodo.23927231","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23927231","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3172500604","https://openalex.org/W4416437382","https://openalex.org/W4323565108","https://openalex.org/W1980530617","https://openalex.org/W2918092201","https://openalex.org/W7225146410","https://openalex.org/W4312420874","https://openalex.org/W7214710156","https://openalex.org/W6964548994","https://openalex.org/W1639250707"],"abstract_inverted_index":{"We":[0],"establish":[1,71],"a":[2,45,94,101],"fourth-resolvent-moment":[3],"tensorisation":[4,53],"inequality":[5],"with":[6],"sharp":[7,64],"constant":[8],"3":[9],"for":[10,88],"arbitrary":[11],"positive-definite":[12],"qubit":[13,18],"averages":[14],"and":[15,44],"traceless":[16],"Hermitian":[17],"signals,":[19],"without":[20],"restrictions":[21],"on":[22,63],"spectral":[23,40],"contrast,":[24],"commutativity,":[25],"or":[26],"signal":[27],"orientation.":[28],"The":[29,49],"proof":[30],"combines":[31],"an":[32],"exact":[33],"Dirichlet":[34],"covariance":[35],"representation,":[36],"positivity":[37],"of":[38,98],"mixed":[39],"coefficients,":[41],"majorization-based":[42],"association,":[43],"nonnegative":[46],"orientation":[47],"covariance.":[48],"result":[50],"extends":[51],"fourth-order":[52],"beyond":[54,82],"the":[55,72,83],"structural":[56],"classes":[57],"addressed":[58],"in":[59],"our":[60],"earlier":[61],"work":[62],"quantum":[65],"information":[66],"combining.":[67],"It":[68],"does":[69],"not":[70,100],"full":[73],"unrestricted":[74],"Hirche\u2013Reeb":[75],"entropy":[76],"conjecture,":[77],"which":[78],"requires":[79],"additional":[80],"control":[81],"fourth":[84],"resolvent":[85],"moment.":[86],"Duplicate":[87],"integration":[89],"testing":[90],"only.":[91],"This":[92],"is":[93,107],"byte-for-byte":[95],"file":[96],"copy":[97],"10.5281/zenodo.23927232,":[99],"new":[102],"research":[103],"result.":[104],"Original":[105],"publication":[106],"unchanged.":[108],"NOETHER":[109],"upload":[110],"manifest:":[111],"a5035f29-c39f-4580-8bcc-d8b3b3670f9a.":[112]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-11-04T00:00:00"}