{"id":"https://openalex.org/W7214034451","doi":"https://doi.org/10.48550/arxiv.2609.24168","title":"A complete characterization of eventually entanglement breaking unital quantum channels","display_name":"A complete characterization of eventually entanglement breaking unital quantum channels","publication_year":2026,"publication_date":"2026-09-21","ids":{"openalex":"https://openalex.org/W7214034451","doi":"https://doi.org/10.48550/arxiv.2609.24168"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.24168","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.24168","pdf_url":"https://arxiv.org/pdf/2609.24168","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/2609.24168","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5049792750","display_name":"B. V. Rajarama Bhat","orcid":"https://orcid.org/0000-0002-4614-8890","observed_orcids":["https://orcid.org/0000-0002-4614-8890"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bhat, B. V. Rajarama","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090069071","display_name":"Pankaj Dey","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dey, Pankaj","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5102677572","display_name":"Biswarup Saha","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Saha, Biswarup","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"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":0.9692000150680542,"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":0.9692000150680542,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.010499999858438969,"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":0.008999999612569809,"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/positive-partial-transpose","display_name":"positive partial transpose","score":0.9279999732971191},{"id":"https://openalex.org/keywords/one-parameter-semigroups","display_name":"one-parameter semigroups","score":0.7820000052452087},{"id":"https://openalex.org/keywords/extreme-points","display_name":"extreme points","score":0.7559999823570251},{"id":"https://openalex.org/keywords/equiangular-tight-frames","display_name":"equiangular tight frames","score":0.953000009059906},{"id":"https://openalex.org/keywords/matrix-integrals","display_name":"matrix integrals","score":0.6919999718666077}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6820999979972839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6807000041007996},{"id":"https://openalex.org/C39847760","wikidata":"https://www.wikidata.org/wiki/Q1385465","display_name":"Extreme point","level":2,"score":0.6291999816894531},{"id":"https://openalex.org/C160873635","wikidata":"https://www.wikidata.org/wiki/Q17148807","display_name":"Unital","level":3,"score":0.609499990940094},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5339000225067139},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5315999984741211},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.5182999968528748},{"id":"https://openalex.org/C200106649","wikidata":"https://www.wikidata.org/wiki/Q223683","display_name":"Transpose","level":3,"score":0.4666000008583069},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4553000032901764},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.3903000056743622},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.367000013589859},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3637999892234802},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.36329999566078186},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.3625999987125397},{"id":"https://openalex.org/C71799126","wikidata":"https://www.wikidata.org/wiki/Q6934832","display_name":"Multipartite entanglement","level":5,"score":0.36250001192092896},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3546999990940094},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3538999855518341},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.3441999852657318},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.34119999408721924},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.3192000091075897},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.31679999828338623},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.31130000948905945},{"id":"https://openalex.org/C206040425","wikidata":"https://www.wikidata.org/wiki/Q4748511","display_name":"Amplitude damping channel","level":5,"score":0.3050999939441681},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.30480000376701355},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.3034999966621399},{"id":"https://openalex.org/C32270708","wikidata":"https://www.wikidata.org/wiki/Q7582152","display_name":"Squashed entanglement","level":4,"score":0.30219998955726624},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3010999858379364},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.28839999437332153},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.28760001063346863},{"id":"https://openalex.org/C2777818330","wikidata":"https://www.wikidata.org/wiki/Q1994695","display_name":"Majorization","level":2,"score":0.28369998931884766},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.2793000042438507},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.273499995470047},{"id":"https://openalex.org/C42355184","wikidata":"https://www.wikidata.org/wiki/Q1361088","display_name":"Matrix decomposition","level":3,"score":0.2703000009059906},{"id":"https://openalex.org/C206003972","wikidata":"https://www.wikidata.org/wiki/Q5380097","display_name":"Entanglement witness","level":5,"score":0.2653000056743622},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.26420000195503235},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C105141246","wikidata":"https://www.wikidata.org/wiki/Q6459475","display_name":"LOCC","level":4,"score":0.2574000060558319},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.2567000091075897},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.25589999556541443},{"id":"https://openalex.org/C75174853","wikidata":"https://www.wikidata.org/wiki/Q190629","display_name":"Centralizer and normalizer","level":2,"score":0.25189998745918274}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.24168","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.24168","pdf_url":"https://arxiv.org/pdf/2609.24168","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.2609.24168","doi":"https://doi.org/10.48550/arxiv.2609.24168","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.24168","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:2609.24168","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.24168","pdf_url":"https://arxiv.org/pdf/2609.24168","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/G897172745","display_name":null,"funder_award_id":"JBR/2021/000024","funder_id":"https://openalex.org/F4320323196","funder_display_name":"National Board for Higher Mathematics"}],"funders":[{"id":"https://openalex.org/F4320306227","display_name":"Arthritis National Research Foundation","ror":"https://ror.org/03abbex33"},{"id":"https://openalex.org/F4320320768","display_name":"Department of Atomic Energy, Government of India","ror":"https://ror.org/02m388s04"},{"id":"https://openalex.org/F4320323196","display_name":"National Board for Higher Mathematics","ror":"https://ror.org/02m388s04"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214034451.pdf","grobid_xml":"https://content.openalex.org/works/W7214034451.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W7117652353"],"related_works":["https://openalex.org/W2952559297","https://openalex.org/W2782846006","https://openalex.org/W3099695208","https://openalex.org/W4313598089","https://openalex.org/W2607443337","https://openalex.org/W7018932215","https://openalex.org/W7117652353","https://openalex.org/W7097530014","https://openalex.org/W2119819325","https://openalex.org/W3103998174"],"abstract_inverted_index":{"We":[0,83,95],"obtain":[1],"a":[2,29,85,91],"complete":[3],"characterization":[4,112],"of":[5,14,19,71,93,101,105,116],"eventually":[6,39,47],"entanglement":[7],"breaking":[8],"(EEB)":[9],"unital":[10,30,72,106],"channels":[11,108],"in":[12],"terms":[13],"some":[15],"simple":[16],"commutation":[17],"properties":[18,25],"their":[20],"eigenvectors.":[21,64],"Specifically,":[22],"the":[23,98,102,114,126],"following":[24],"are":[26],"equivalent":[27],"for":[28,68],"channel:":[31],"(i)":[32],"it":[33,37,45],"is":[34,38,46],"EEB;":[35],"(ii)":[36],"positive":[40],"partial":[41],"transpose":[42],"(PPT);":[43],"(iii)":[44],"mixed":[48],"twisted":[49,127],"dephasing;":[50],"and":[51,113],"(iv)":[52],"its":[53,62],"eigenvectors":[54],"corresponding":[55],"to":[56,80],"non-zero":[57],"eigenvalues":[58],"commute":[59],"with":[60],"all":[61],"peripheral":[63],"Similar":[65],"results":[66],"hold":[67],"one-parameter":[69],"semigroups":[70,79],"quantum":[73],"channels,":[74],"where":[75],"continuity":[76],"forces":[77],"such":[78],"become":[81],"primitive.":[82],"employ":[84],"matrix":[86],"integral":[87],"technique":[88],"inspired":[89],"by":[90],"result":[92],"Watrous.":[94],"also":[96],"characterize":[97],"extreme":[99,123],"points":[100,124],"convex":[103],"set":[104],"EB":[107],"and,":[109],"using":[110],"this":[111],"theory":[115],"equiangular":[117],"tight":[118],"frames":[119],"(ETFs),":[120],"identify":[121],"several":[122],"beyond":[125],"dephasing":[128],"channels.":[129]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-23T00:00:00"}
