{"id":"https://openalex.org/W7221787086","doi":"https://doi.org/10.48550/arxiv.2610.15664","title":"Separability criteria and lower bounds of entanglement via realignment","display_name":"Separability criteria and lower bounds of entanglement via realignment","publication_year":2026,"publication_date":"2026-10-11","ids":{"openalex":"https://openalex.org/W7221787086","doi":"https://doi.org/10.48550/arxiv.2610.15664"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.15664","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.15664","pdf_url":"https://arxiv.org/pdf/2610.15664","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/2610.15664","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5128841963","display_name":"Yuhang Xie","orcid":"https://orcid.org/0009-0009-4569-4070","observed_orcids":["https://orcid.org/0009-0009-4569-4070"]},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xie, Yuhang","raw_affiliation_strings":["School of Mathematics and Statistics , Henan University , Kaifeng , 475004 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , Henan University , Kaifeng , 475004 , China","institution_ids":["https://openalex.org/I173899330"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075633930","display_name":"Yanjun Chu","orcid":"https://orcid.org/0000-0002-3298-7327","observed_orcids":["https://orcid.org/0000-0002-3298-7327"]},"institutions":[{"id":"https://openalex.org/I173899330","display_name":"Henan University","ror":"https://ror.org/003xyzq10","country_code":"CN","type":"education","lineage":["https://openalex.org/I173899330"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chu, Yanjun","raw_affiliation_strings":["School of Mathematics and Statistics , Henan University , Kaifeng , 475004 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics , Henan University , Kaifeng , 475004 , China","institution_ids":["https://openalex.org/I173899330"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055817279","display_name":"Shao\u2010Ming Fei","orcid":"https://orcid.org/0000-0003-2412-8626","observed_orcids":["https://orcid.org/0000-0003-2412-8626"]},"institutions":[{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fei, Shao-Ming","raw_affiliation_strings":["School of Mathematics Sciences , Capital Normal University , Beijing , 100048 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics Sciences , Capital Normal University , Beijing , 100048 , China","institution_ids":["https://openalex.org/I96852419"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9945999979972839,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9945999979972839,"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":0.0032999999821186066,"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/T11804","display_name":"Quantum many-body systems","score":0.0005000000237487257,"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/quantum-entanglement","display_name":"quantum entanglement","score":0.8270000219345093},{"id":"https://openalex.org/keywords/separability-criterion","display_name":"separability criteria","score":0.9309999942779541},{"id":"https://openalex.org/keywords/realignment-criterion","display_name":"realignment criterion","score":0.9070000052452087},{"id":"https://openalex.org/keywords/entanglement-detection","display_name":"entanglement detection","score":0.753000020980835},{"id":"https://openalex.org/keywords/entanglement-quantification","display_name":"entanglement quantification","score":0.8629999756813049},{"id":"https://openalex.org/keywords/concurrence","display_name":"concurrence","score":0.7900000214576721},{"id":"https://openalex.org/keywords/genuine-multipartite-entanglement","display_name":"genuine multipartite entanglement","score":0.9129999876022339},{"id":"https://openalex.org/keywords/genuine-tripartite-entanglement","display_name":"genuine tripartite entanglement","score":0.968999981880188},{"id":"https://openalex.org/keywords/lower-bounds","display_name":"lower bounds","score":0.5299999713897705}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7716000080108643},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.6078000068664551},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5982999801635742},{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.5913000106811523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5853999853134155},{"id":"https://openalex.org/C2777843375","wikidata":"https://www.wikidata.org/wiki/Q5159090","display_name":"Concurrence","level":4,"score":0.5009999871253967},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4966999888420105},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.45980000495910645},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41670000553131104},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.41280001401901245},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.3896999955177307},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.37450000643730164},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3634999990463257},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.35899999737739563},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.3328999876976013},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3319999873638153},{"id":"https://openalex.org/C20593774","wikidata":"https://www.wikidata.org/wiki/Q7958522","display_name":"W state","level":4,"score":0.31949999928474426},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.31929999589920044},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.3172000050544739},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.3149999976158142},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3043999969959259},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3034000098705292},{"id":"https://openalex.org/C105141246","wikidata":"https://www.wikidata.org/wiki/Q6459475","display_name":"LOCC","level":4,"score":0.30239999294281006},{"id":"https://openalex.org/C91717678","wikidata":"https://www.wikidata.org/wiki/Q1135332","display_name":"Quantum teleportation","level":5,"score":0.29789999127388},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.29190000891685486},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.290800005197525},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28189998865127563},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.27489998936653137},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.27459999918937683},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2741999924182892},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2727000117301941},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.2621999979019165},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2581999897956848},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.251800000667572}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.15664","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.15664","pdf_url":"https://arxiv.org/pdf/2610.15664","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.2610.15664","doi":"https://doi.org/10.48550/arxiv.2610.15664","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.15664","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.15664","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.15664","pdf_url":"https://arxiv.org/pdf/2610.15664","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":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7221787086.pdf","grobid_xml":"https://content.openalex.org/works/W7221787086.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4410338468","https://openalex.org/W4406155453","https://openalex.org/W4405172897","https://openalex.org/W4322418741","https://openalex.org/W4391046300","https://openalex.org/W2964079692","https://openalex.org/W4381325489","https://openalex.org/W1968936006","https://openalex.org/W2964261384","https://openalex.org/W2070163893"],"abstract_inverted_index":{"The":[0,88],"detection":[1],"and":[2,21,38,53,70,82],"quantification":[3],"of":[4,18,24,32,90],"quantum":[5,11,40],"entanglement":[6,56],"are":[7,93],"central":[8],"problems":[9],"in":[10],"information":[12],"science.":[13],"Based":[14],"on":[15,85],"the":[16,22,45,58,68,71,78],"realignment":[17],"density":[19,26],"matrices":[20],"vectorization":[23],"reduced":[25],"matrices,":[27],"we":[28,62],"construct":[29],"a":[30],"family":[31],"enhanced":[33],"separability":[34],"criteria":[35,43,49,75],"for":[36,67,76],"bipartite":[37],"multipartite":[39],"systems.":[41],"Our":[42],"recover":[44],"previously":[46],"proposed":[47],"realignment-based":[48],"as":[50],"special":[51],"cases":[52],"detect":[54],"more":[55],"than":[57],"earlier":[59],"ones.":[60],"Moreover,":[61],"derive":[63],"tighter":[64],"lower":[65,83],"bounds":[66,84],"concurrence":[69],"convex-roof":[72],"extended":[73],"negativity,":[74],"detecting":[77],"genuine":[79],"tripartite":[80],"entanglement,":[81],"genuine-multipartite-entanglement":[86],"concurrence.":[87],"advantages":[89],"our":[91],"results":[92],"demonstrated":[94],"with":[95],"detailed":[96],"examples.":[97]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-10-15T00:00:00"}