{"id":"https://openalex.org/W7213501345","doi":"https://doi.org/10.48550/arxiv.2609.18803","title":"Feasibility Ordering of Entanglement-Source Placement for Qubit Channels","display_name":"Feasibility Ordering of Entanglement-Source Placement for Qubit Channels","publication_year":2026,"publication_date":"2026-09-16","ids":{"openalex":"https://openalex.org/W7213501345","doi":"https://doi.org/10.48550/arxiv.2609.18803"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.18803","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.18803","pdf_url":"https://arxiv.org/pdf/2609.18803","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/2609.18803","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5152035740","display_name":"Samuel Marquez Gonzalez","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gonzalez, Samuel Marquez","raw_affiliation_strings":["Department of Mathematical Sciences , Rutgers University , Camden , New Jersey 08102 , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences , Rutgers University , Camden , New Jersey 08102 , USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5152035740"],"corresponding_institution_ids":["https://openalex.org/I102322142"],"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":0.9970999956130981,"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":0.9970999956130981,"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":0.0019000000320374966,"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":0.0003000000142492354,"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/qubit-channels","display_name":"qubit channels","score":0.859000027179718},{"id":"https://openalex.org/keywords/entanglement-breaking-channels","display_name":"entanglement-breaking channels","score":0.9829999804496765},{"id":"https://openalex.org/keywords/channel-composition","display_name":"channel composition","score":0.4440000057220459},{"id":"https://openalex.org/keywords/unital-channels","display_name":"unital channels","score":0.9229999780654907},{"id":"https://openalex.org/keywords/entanglement-preservation","display_name":"entanglement preservation","score":0.5559999942779541}],"concepts":[{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.8220999836921692},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6158999800682068},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5659999847412109},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.5437999963760376},{"id":"https://openalex.org/C34130140","wikidata":"https://www.wikidata.org/wiki/Q1645406","display_name":"Midpoint","level":2,"score":0.4749999940395355},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.4530999958515167},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.45159998536109924},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.44209998846054077},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4392000138759613},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43650001287460327},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.38280001282691956},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3750999867916107},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.3700999915599823},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3425999879837036},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.33500000834465027},{"id":"https://openalex.org/C160873635","wikidata":"https://www.wikidata.org/wiki/Q17148807","display_name":"Unital","level":3,"score":0.3122999966144562},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2849000096321106},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2768999934196472},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.27090001106262207},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2687999904155731},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.26759999990463257},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.2646999955177307},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.26440000534057617},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.262800008058548},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.26080000400543213},{"id":"https://openalex.org/C105141246","wikidata":"https://www.wikidata.org/wiki/Q6459475","display_name":"LOCC","level":4,"score":0.258899986743927},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.2578999996185303},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.25060001015663147}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.18803","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.18803","pdf_url":"https://arxiv.org/pdf/2609.18803","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.2609.18803","doi":"https://doi.org/10.48550/arxiv.2609.18803","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.18803","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:2609.18803","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.18803","pdf_url":"https://arxiv.org/pdf/2609.18803","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/W7213501345.pdf","grobid_xml":"https://content.openalex.org/works/W7213501345.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W4417097680"],"related_works":["https://openalex.org/W4417097680","https://openalex.org/W7167697791","https://openalex.org/W1503709470","https://openalex.org/W1493549584","https://openalex.org/W1991230919","https://openalex.org/W2258118411","https://openalex.org/W4387101986","https://openalex.org/W7211979920","https://openalex.org/W1990112475","https://openalex.org/W1984166299"],"abstract_inverted_index":{"This":[0,153],"work":[1,20],"studies":[2],"the":[3,56,67,89,99,103,107,113,116,122,142,145,149,155,168],"placement":[4,29,160],"of":[5,93,102,115,118],"an":[6],"entanglement":[7],"source":[8],"along":[9],"a":[10,49,85],"communication":[11],"line":[12],"formed":[13],"by":[14,140],"two":[15,143],"noisy":[16],"qubit":[17,46,82,95,165],"channels.":[18,126],"Recent":[19],"argued,":[21],"on":[22],"analytical":[23],"and":[24,88,112],"numerical":[25],"grounds,":[26],"that":[27,72,158,173],"midpoint":[28,159],"should":[30],"be":[31],"at":[32],"least":[33],"as":[34,36],"favorable":[35],"endpoint":[37],"placement.":[38],"Here":[39],"it":[40],"is":[41,161],"shown":[42],"that,":[43],"for":[44,148,163],"arbitrary":[45,125],"channels,":[47,144,166],"if":[48],"sequential":[50],"composition":[51,151],"can":[52],"preserve":[53],"entanglement,":[54],"then":[55,97],"corresponding":[57],"parallel":[58],"action":[59],"cannot":[60],"annihilate":[61],"all":[62,164],"entanglement.":[63],"The":[64],"proof":[65],"uses":[66],"transpose-factorization":[68],"criterion":[69],"introduced":[70],"in":[71,167,171],"recent":[73,156],"work.":[74],"Quantum":[75],"Sinkhorn":[76],"scaling":[77],"converts":[78],"every":[79],"strictly":[80],"positive":[81],"channel":[83],"into":[84],"unital":[86,94],"representative,":[87],"special":[90],"normal":[91],"form":[92],"channels":[96,120],"yields":[98],"required":[100],"factorization":[101],"transposed":[104],"map":[105],"through":[106],"original":[108],"channel.":[109],"Depolarizing":[110],"regularization":[111],"closedness":[114],"set":[117],"entanglement-breaking":[119],"extend":[121],"result":[123],"to":[124],"Consequently,":[127],"$\u039b_1":[128],"\\otimes":[129],"\u039b_2":[130],"\\in":[131,137],"\\mathrm{EA}$":[132],"implies":[133],"$\u039b_2":[134],"\\circ":[135],"\u039b_1":[136],"\\mathrm{EB}$,":[138],"and,":[139],"exchanging":[141],"same":[146],"holds":[147],"opposite":[150],"order.":[152],"proves":[154],"conjecture":[157],"optimal":[162],"feasibility":[169],"sense":[170],"which":[172],"optimality":[174],"was":[175],"originally":[176],"defined.":[177]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-18T00:00:00"}