{"id":"https://openalex.org/W7204918977","doi":"https://doi.org/10.48550/arxiv.2608.29707","title":"Kempe-Invariant Ordering of Three-Qubit Pairwise Entanglement under Local Depolarization","display_name":"Kempe-Invariant Ordering of Three-Qubit Pairwise Entanglement under Local Depolarization","publication_year":2026,"publication_date":"2026-08-30","ids":{"openalex":"https://openalex.org/W7204918977","doi":"https://doi.org/10.48550/arxiv.2608.29707"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.29707","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29707","pdf_url":"https://arxiv.org/pdf/2608.29707","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.29707","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5126270196","display_name":"Wei Song","orcid":"https://orcid.org/0009-0006-3063-3847","observed_orcids":["https://orcid.org/0009-0006-3063-3847"]},"institutions":[{"id":"https://openalex.org/I174385955","display_name":"Hefei Normal University","ror":"https://ror.org/01b64k086","country_code":"CN","type":"education","lineage":["https://openalex.org/I174385955"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Song, Wei","raw_affiliation_strings":["School of Physics and Materials Engineering , Hefei Normal University , Hefei 230601 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Materials Engineering , Hefei Normal University , Hefei 230601 , China","institution_ids":["https://openalex.org/I174385955"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018479297","display_name":"Xiao-Lan Zong","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I174385955","display_name":"Hefei Normal University","ror":"https://ror.org/01b64k086","country_code":"CN","type":"education","lineage":["https://openalex.org/I174385955"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zong, Xiao-Lan","raw_affiliation_strings":["School of Physics and Materials Engineering , Hefei Normal University , Hefei 230601 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Physics and Materials Engineering , Hefei Normal University , Hefei 230601 , China","institution_ids":["https://openalex.org/I174385955"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5148920840","display_name":"Ming Yang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang, Ming","raw_affiliation_strings":["Leibniz International Joint Research Center of Materials Sciences of Anhui Province , Anhui University , Hefei , 230601 , China","School of Physics , Anhui University , Hefei , 230601 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Leibniz International Joint Research Center of Materials Sciences of Anhui Province , Anhui University , Hefei , 230601 , China","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Physics , Anhui University , Hefei , 230601 , China","institution_ids":["https://openalex.org/I143868143"]}]}],"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":0.986299991607666,"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":0.986299991607666,"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":0.00860000029206276,"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":0.0010999999940395355,"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/three-qubit-entanglement","display_name":"three-qubit entanglement","score":0.9850000143051147},{"id":"https://openalex.org/keywords/three-tangle","display_name":"three-tangle","score":0.9760000109672546},{"id":"https://openalex.org/keywords/entanglement-dynamics","display_name":"entanglement dynamics","score":0.9049999713897705},{"id":"https://openalex.org/keywords/entanglement-robustness","display_name":"entanglement robustness","score":0.972000002861023},{"id":"https://openalex.org/keywords/entanglement-of-formation","display_name":"entanglement of formation","score":0.8640000224113464}],"concepts":[{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.7930999994277954},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6920999884605408},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6292999982833862},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5712000131607056},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5177000164985657},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4528000056743622},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4318000078201294},{"id":"https://openalex.org/C182964748","wikidata":"https://www.wikidata.org/wiki/Q208216","display_name":"Triangle inequality","level":2,"score":0.4318000078201294},{"id":"https://openalex.org/C169345407","wikidata":"https://www.wikidata.org/wiki/Q8216221","display_name":"Uncorrelated","level":2,"score":0.41850000619888306},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.39649999141693115},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38929998874664307},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.3871999979019165},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.367900013923645},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.34450000524520874},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.29840001463890076},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28859999775886536},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.2727999985218048},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.2632000148296356},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.2563999891281128}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.29707","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29707","pdf_url":"https://arxiv.org/pdf/2608.29707","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.2608.29707","doi":"https://doi.org/10.48550/arxiv.2608.29707","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.29707","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:2608.29707","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.29707","pdf_url":"https://arxiv.org/pdf/2608.29707","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":[{"id":"https://openalex.org/G4780458154","display_name":null,"funder_award_id":"2025AHGXZK20126","funder_id":"https://openalex.org/F4320326664","funder_display_name":"Anhui Provincial Department of Education"},{"id":"https://openalex.org/G609701848","display_name":null,"funder_award_id":"2025AHGXZK50054","funder_id":"https://openalex.org/F4320326664","funder_display_name":"Anhui Provincial Department of Education"},{"id":"https://openalex.org/G8999788578","display_name":null,"funder_award_id":"2508085ZD001","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"}],"funders":[{"id":"https://openalex.org/F4320326664","display_name":"Anhui Provincial Department of Education","ror":null},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204918977.pdf","grobid_xml":"https://content.openalex.org/works/W7204918977.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2603460153","https://openalex.org/W2065352389","https://openalex.org/W2076207249","https://openalex.org/W6903749423","https://openalex.org/W1980298410","https://openalex.org/W2329265031","https://openalex.org/W3104751908","https://openalex.org/W2088110277","https://openalex.org/W6922490140","https://openalex.org/W7103494401"],"abstract_inverted_index":{"Pure":[0],"three-qubit":[1],"states":[2],"with":[3,36],"the":[4,19,23,48,57],"same":[5,43],"pairwise":[6,52,61],"concurrences":[7],"and":[8,56],"three-tangle":[9],"can":[10],"still":[11],"have":[12],"different":[13],"Kempe":[14,20],"invariants.":[15],"We":[16],"show":[17],"that":[18],"invariant":[21],"orders":[22],"entanglement":[24],"dynamics":[25],"of":[26,50,54,60],"all":[27],"three":[28],"pairs":[29],"under":[30],"identical,":[31],"independent":[32],"local":[33],"depolarizing":[34],"channels,":[35],"smaller":[37],"values":[38],"giving":[39],"greater":[40],"robustness.":[41],"The":[42],"ordering":[44],"also":[45],"holds":[46],"for":[47],"sum":[49],"squared":[51],"entanglements":[53],"formation":[55],"sudden-death":[58],"thresholds":[59],"entanglement.":[62]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-02T00:00:00"}