{"id":"https://openalex.org/W7224119149","doi":"https://doi.org/10.48550/arxiv.2610.36156","title":"Many-body entanglement quantification in arbitrary states through a few partial-transpose moments","display_name":"Many-body entanglement quantification in arbitrary states through a few partial-transpose moments","publication_year":2026,"publication_date":"2026-10-26","ids":{"openalex":"https://openalex.org/W7224119149","doi":"https://doi.org/10.48550/arxiv.2610.36156"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.36156","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.36156","pdf_url":"https://arxiv.org/pdf/2610.36156","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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.36156","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5151055016","display_name":"Anonymous","orcid":"https://orcid.org/0009-0003-2937-2887","observed_orcids":["https://orcid.org/0009-0003-2937-2887"]},"institutions":[{"id":"https://openalex.org/I77430839","display_name":"S.N. Bose National Centre for Basic Sciences","ror":"https://ror.org/00kz6qq24","country_code":"IN","type":"facility","lineage":["https://openalex.org/I77430839"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Chakrabarty, Sudip","raw_affiliation_strings":["S. N. Bose National Centre for Basic Sciences , Block JD , Sector III , Salt Lake , Kolkata 700 106 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"S. N. Bose National Centre for Basic Sciences , Block JD , Sector III , Salt Lake , Kolkata 700 106 , India","institution_ids":["https://openalex.org/I77430839"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5159987070","display_name":"A. S. Majumdar","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I77430839","display_name":"S.N. Bose National Centre for Basic Sciences","ror":"https://ror.org/00kz6qq24","country_code":"IN","type":"facility","lineage":["https://openalex.org/I77430839"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Majumdar, A. S.","raw_affiliation_strings":["S. N. Bose National Centre for Basic Sciences , Block JD , Sector III , Salt Lake , Kolkata 700 106 , India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"S. N. Bose National Centre for Basic Sciences , Block JD , Sector III , Salt Lake , Kolkata 700 106 , India","institution_ids":["https://openalex.org/I77430839"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I77430839"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"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/T11804","display_name":"Quantum many-body systems","score":0.8525000214576721,"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"}},"topics":[{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.8525000214576721,"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":0.14000000059604645,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.0026000000070780516,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/many-body-entanglement","display_name":"many-body entanglement","score":0.8730000257492065},{"id":"https://openalex.org/keywords/logarithmic-negativity","display_name":"logarithmic negativity","score":0.8579999804496765},{"id":"https://openalex.org/keywords/gauss-radau-quadrature","display_name":"Gauss-Radau quadrature","score":0.8339999914169312},{"id":"https://openalex.org/keywords/thermal-states","display_name":"thermal states","score":0.8370000123977661},{"id":"https://openalex.org/keywords/randomized-measurements","display_name":"randomized measurements","score":0.574999988079071},{"id":"https://openalex.org/keywords/density-matrix-renormalization-group","display_name":"density matrix renormalization group","score":0.9490000009536743}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7631999850273132},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6225000023841858},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5437999963760376},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5343999862670898},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.45980000495910645},{"id":"https://openalex.org/C21031990","wikidata":"https://www.wikidata.org/wiki/Q355020","display_name":"Probability measure","level":2,"score":0.4228000044822693},{"id":"https://openalex.org/C179254644","wikidata":"https://www.wikidata.org/wiki/Q13222844","display_name":"Moment (physics)","level":2,"score":0.4108000099658966},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.40799999237060547},{"id":"https://openalex.org/C64812099","wikidata":"https://www.wikidata.org/wiki/Q176604","display_name":"Random matrix","level":3,"score":0.376800000667572},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.35659998655319214},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.35530000925064087},{"id":"https://openalex.org/C166124518","wikidata":"https://www.wikidata.org/wiki/Q1047702","display_name":"Renormalization","level":2,"score":0.3467999994754791},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.3447999954223633},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3375999927520752},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.3228999972343445},{"id":"https://openalex.org/C84498859","wikidata":"https://www.wikidata.org/wiki/Q5158327","display_name":"Concentration of measure","level":2,"score":0.322299987077713},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.310699999332428},{"id":"https://openalex.org/C61062188","wikidata":"https://www.wikidata.org/wiki/Q835065","display_name":"Second moment of area","level":2,"score":0.29899999499320984},{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.29760000109672546},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.29600000381469727},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2939999997615814},{"id":"https://openalex.org/C200106649","wikidata":"https://www.wikidata.org/wiki/Q223683","display_name":"Transpose","level":3,"score":0.2935999929904938},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2874999940395355},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.2743000090122223},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.2646999955177307},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.2502000033855438}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.36156","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.36156","pdf_url":"https://arxiv.org/pdf/2610.36156","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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.36156","doi":"https://doi.org/10.48550/arxiv.2610.36156","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.36156","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":"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":"pmh:oai:arXiv.org:2610.36156","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.36156","pdf_url":"https://arxiv.org/pdf/2610.36156","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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224119149.pdf","grobid_xml":"https://content.openalex.org/works/W7224119149.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1923824182","https://openalex.org/W4416834463","https://openalex.org/W7165969233","https://openalex.org/W7212012187"],"related_works":["https://openalex.org/W2402936062","https://openalex.org/W4297131416","https://openalex.org/W2892109563","https://openalex.org/W7167284891","https://openalex.org/W4401888748","https://openalex.org/W2755657242","https://openalex.org/W7154492865","https://openalex.org/W2329281378","https://openalex.org/W2226062175","https://openalex.org/W1505753748"],"abstract_inverted_index":{"Can":[0],"the":[1,12,16,22,45,56,77,89,93,106,128,135,165],"entanglement":[2],"of":[3,24,34,40,58,73,85,92,101,111,130,137,150,167],"an":[4,148],"arbitrary":[5],"many-body":[6,42],"state":[7,100],"be":[8,28,96],"quantified":[9],"without":[10],"reconstructing":[11],"state?":[13],"We":[14,69,104],"answer":[15],"question":[17],"affirmatively":[18],"by":[19],"showing":[20],"how":[21],"measure":[23,94],"logarithmic":[25,78],"negativity":[26],"can":[27,95],"estimated":[29],"using":[30],"a":[31,41,50,59,71,121],"finite":[32,102,138],"number":[33],"even":[35],"partial":[36],"transpose":[37],"(PT)":[38],"moments":[39],"state.":[43,123],"Considering":[44],"squared":[46],"PT":[47],"spectrum":[48],"as":[49,117,119],"probability":[51],"measure,":[52],"we":[53],"solve":[54],"exactly":[55],"task":[57],"truncated":[60],"Hausdorff":[61],"moment":[62],"problem":[63],"with":[64,82,144],"Gauss":[65],"and":[66],"Gauss-Radau":[67],"quadrature.":[68],"obtain":[70],"hierarchy":[72],"lower":[74],"bounds":[75,107],"on":[76],"negativity,":[79],"which":[80],"improves":[81],"increasing":[83],"order":[84],"moments.":[86],"Convergence":[87],"to":[88],"exact":[90,168],"value":[91],"achieved":[97],"for":[98,108,120,160],"every":[99],"dimension.":[103],"illustrate":[105],"ground":[109],"states":[110],"three":[112],"different":[113],"interacting":[114],"spin":[115],"models,":[116],"well":[118],"thermal":[122],"An":[124],"error":[125],"analysis":[126],"demonstrates":[127],"efficacy":[129],"our":[131],"scheme":[132],"towards":[133],"handling":[134,161],"limitation":[136],"statistics":[139],"encountered":[140],"in":[141],"actual":[142],"experiments":[143],"randomized":[145],"measurements.":[146],"Moreover,":[147],"example":[149],"density":[151],"matrix":[152],"renormalization":[153],"group":[154],"based":[155],"numerical":[156],"estimation":[157],"is":[158],"provided":[159],"system":[162],"sizes":[163],"beyond":[164],"scope":[166],"diagonalization.":[169]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-29T00:00:00"}