{"id":"https://openalex.org/W3035866382","doi":"https://doi.org/10.22331/q-2022-02-16-653","title":"Building Multiple Access Channels with a Single Particle","display_name":"Building Multiple Access Channels with a Single Particle","publication_year":2022,"publication_date":"2022-02-16","ids":{"openalex":"https://openalex.org/W3035866382","doi":"https://doi.org/10.22331/q-2022-02-16-653","mag":"3035866382"},"language":"en","primary_location":{"id":"doi:10.22331/q-2022-02-16-653","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-02-16-653","pdf_url":"https://quantum-journal.org/papers/q-2022-02-16-653/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2022-02-16-653/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101578949","display_name":"Yujie Zhang","orcid":"https://orcid.org/0000-0002-7858-7476"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yujie Zhang","raw_affiliation_strings":["Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA"],"raw_orcid":"https://orcid.org/0000-0002-7858-7476","affiliations":[{"raw_affiliation_string":"Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103002395","display_name":"Xinan Chen","orcid":"https://orcid.org/0000-0001-9620-3264"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xinan Chen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018943027","display_name":"Eric Chitambar","orcid":"https://orcid.org/0000-0001-6990-7821"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eric Chitambar","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","***University of Illinois at Urbana-Champaign"],"raw_orcid":"https://orcid.org/0000-0001-6990-7821","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"***University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00234753,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":null,"first_page":"653","last_page":"653"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9991999864578247,"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":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6032201051712036},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5678954124450684},{"id":"https://openalex.org/keywords/particle","display_name":"Particle (ecology)","score":0.5276927947998047},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.46195414662361145},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4350394606590271},{"id":"https://openalex.org/keywords/superposition-principle","display_name":"Superposition principle","score":0.43088364601135254},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.42958712577819824},{"id":"https://openalex.org/keywords/triangle-inequality","display_name":"Triangle inequality","score":0.4281885623931885},{"id":"https://openalex.org/keywords/quantum-superposition","display_name":"Quantum superposition","score":0.4238024353981018},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.421403706073761},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.41077911853790283},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27502113580703735},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2398812174797058},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.17348888516426086},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1513374149799347},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10386547446250916},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10210070013999939}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6032201051712036},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5678954124450684},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.5276927947998047},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.46195414662361145},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4350394606590271},{"id":"https://openalex.org/C27753989","wikidata":"https://www.wikidata.org/wiki/Q284885","display_name":"Superposition principle","level":2,"score":0.43088364601135254},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.42958712577819824},{"id":"https://openalex.org/C182964748","wikidata":"https://www.wikidata.org/wiki/Q208216","display_name":"Triangle inequality","level":2,"score":0.4281885623931885},{"id":"https://openalex.org/C55615164","wikidata":"https://www.wikidata.org/wiki/Q830791","display_name":"Quantum superposition","level":3,"score":0.4238024353981018},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.421403706073761},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.41077911853790283},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27502113580703735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2398812174797058},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.17348888516426086},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1513374149799347},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10386547446250916},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10210070013999939},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111368507","wikidata":"https://www.wikidata.org/wiki/Q43518","display_name":"Oceanography","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.22331/q-2022-02-16-653","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-02-16-653","pdf_url":"https://quantum-journal.org/papers/q-2022-02-16-653/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2006.12475","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2006.12475","pdf_url":"https://arxiv.org/pdf/2006.12475","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"mag:3035866382","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2006.12475v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:doaj.org/article:f9e3f8dbcef846028729425409ba3b2f","is_oa":true,"landing_page_url":"https://doaj.org/article/f9e3f8dbcef846028729425409ba3b2f","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 6, p 653 (2022)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2006.12475","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2006.12475","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.22331/q-2022-02-16-653","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-02-16-653","pdf_url":"https://quantum-journal.org/papers/q-2022-02-16-653/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5600000023841858,"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15"}],"awards":[{"id":"https://openalex.org/G7954487774","display_name":null,"funder_award_id":"1839177","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3035866382.pdf","grobid_xml":"https://content.openalex.org/works/W3035866382.grobid-xml"},"referenced_works_count":74,"referenced_works":["https://openalex.org/W135467536","https://openalex.org/W212428657","https://openalex.org/W1636079707","https://openalex.org/W1969232365","https://openalex.org/W1981983416","https://openalex.org/W1989440127","https://openalex.org/W1997834106","https://openalex.org/W2037750157","https://openalex.org/W2051787827","https://openalex.org/W2051869207","https://openalex.org/W2052315678","https://openalex.org/W2062597669","https://openalex.org/W2072549841","https://openalex.org/W2074076538","https://openalex.org/W2076697353","https://openalex.org/W2077242588","https://openalex.org/W2084575582","https://openalex.org/W2085767576","https://openalex.org/W2094088331","https://openalex.org/W2096204190","https://openalex.org/W2099111195","https://openalex.org/W2113152322","https://openalex.org/W2116397277","https://openalex.org/W2117929388","https://openalex.org/W2131579706","https://openalex.org/W2154649018","https://openalex.org/W2155003015","https://openalex.org/W2161339715","https://openalex.org/W2282509953","https://openalex.org/W2312046487","https://openalex.org/W2342127886","https://openalex.org/W2415153139","https://openalex.org/W2581750089","https://openalex.org/W2661849211","https://openalex.org/W2769478465","https://openalex.org/W2798647535","https://openalex.org/W2808319042","https://openalex.org/W2892050065","https://openalex.org/W2897253928","https://openalex.org/W2914467290","https://openalex.org/W2925123587","https://openalex.org/W2949106161","https://openalex.org/W2951124766","https://openalex.org/W2963519232","https://openalex.org/W2980774310","https://openalex.org/W2981670379","https://openalex.org/W2999538410","https://openalex.org/W3011064436","https://openalex.org/W3011726713","https://openalex.org/W3013325051","https://openalex.org/W3015717485","https://openalex.org/W3021457633","https://openalex.org/W3024178333","https://openalex.org/W3037333478","https://openalex.org/W3037637275","https://openalex.org/W3037687232","https://openalex.org/W3045778395","https://openalex.org/W3080750212","https://openalex.org/W3100132718","https://openalex.org/W3100282202","https://openalex.org/W3101989525","https://openalex.org/W3103115193","https://openalex.org/W3103221591","https://openalex.org/W3105786861","https://openalex.org/W3105791906","https://openalex.org/W3124517936","https://openalex.org/W3131289776","https://openalex.org/W3134297983","https://openalex.org/W3135287468","https://openalex.org/W3161898379","https://openalex.org/W3213388971","https://openalex.org/W3217156509","https://openalex.org/W4211058570","https://openalex.org/W4235381922"],"related_works":["https://openalex.org/W3104504819","https://openalex.org/W2583668981","https://openalex.org/W3199297565","https://openalex.org/W2023259763","https://openalex.org/W2946222865","https://openalex.org/W1509749952","https://openalex.org/W1654112814","https://openalex.org/W3121453096","https://openalex.org/W2967078006","https://openalex.org/W1955111698","https://openalex.org/W1575472437","https://openalex.org/W2138262447","https://openalex.org/W2948988145","https://openalex.org/W1502908815","https://openalex.org/W1872835612","https://openalex.org/W3098058693","https://openalex.org/W2950214556","https://openalex.org/W2490964415","https://openalex.org/W3183134080","https://openalex.org/W3101989717"],"abstract_inverted_index":{"A":[0],"multiple":[1,9,125],"access":[2,126],"channel":[3,127],"describes":[4],"a":[5,17,37,53,59,90,108,124,131,135,149,161,173,198,211,216,226,269],"situation":[6],"in":[7,30,52,80,103,268],"which":[8,31,81,104],"senders":[10],"are":[11,245],"trying":[12],"to":[13,16,97],"forward":[14],"messages":[15],"single":[18,38,91,132,150,174],"receiver":[19],"using":[20],"some":[21],"physical":[22],"medium.":[23],"In":[24,43],"this":[25,32,95,121,220,237],"paper":[26],"we":[27,75,153,179,207,223],"consider":[28],"scenarios":[29],"medium":[33],"consists":[34],"of":[35,62,119,138,172,191,201,279],"just":[36],"classical":[39,72,142,165,175,202],"or":[40],"quantum":[41,45,70,177,227],"particle.":[42,92],"the":[44,47,67,110,117,139,164,170,181,248,274],"case,":[46],"particle":[48,111,158,228,280],"can":[49,112,145,159,235,265],"be":[50,146,266],"prepared":[51],"superposition":[54],"state":[55,260],"thereby":[56],"allowing":[57],"for":[58,116,186,219],"richer":[60,199],"family":[61,200],"encoding":[63,84],"strategies.":[64],"To":[65,167],"make":[66],"comparison":[68],"between":[69,247],"and":[71,152,176,184,222,251],"channels":[73],"precise,":[74],"introduce":[76],"an":[77,98],"operational":[78],"framework":[79,96,250],"all":[82],"possible":[83],"strategies":[85],"consume":[86],"no":[87],"more":[88],"than":[89],"We":[93,209,255],"apply":[94],"<mml:math":[99,140,192,231,241,262],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>N</mml:mi></mml:math>-port":[100],"interferometer":[101],"experiment":[102],"each":[105],"party":[106],"controls":[107],"path":[109],"traverse.":[113],"When":[114],"used":[115],"purpose":[118],"communication,":[120],"setup":[122],"embodies":[123],"(MAC)":[128],"built":[129,147],"with":[130,261,273],"particle.We":[133],"provide":[134],"full":[136],"characterization":[137],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>N</mml:mi></mml:math>-party":[141],"MACs":[143,203],"that":[144,155,225,257],"from":[148],"particle,":[151,178],"show":[154,256],"every":[156,258],"non-classical":[157],"generate":[160],"MAC":[162],"outside":[163],"set.":[166],"further":[168],"distinguish":[169],"capabilities":[171],"relax":[180],"locality":[182],"constraint":[183],"allow":[185],"joint":[187],"encodings":[188],"by":[189],"subsets":[190],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mrow":[193,242],"class=\"MJX-TeXAtom-ORD\"><mml:mn>1</mml:mn><mml:mo>&amp;#x003C;</mml:mo><mml:mi>K</mml:mi><mml:mo>&amp;#x2264;</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:math>":[194],"parties.":[195],"This":[196],"generates":[197],"whose":[204],"polytope":[205],"dimension":[206],"compute.":[208],"identify":[210],"\"generalized":[212],"fingerprinting":[213],"inequality''":[214],"as":[215],"valid":[217],"facet":[218],"polytope,":[221],"verify":[224],"distributed":[229],"among":[230],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>N</mml:mi></mml:math>":[232],"separated":[233],"parties":[234],"violate":[236],"inequality":[238],"even":[239],"when":[240],"class=\"MJX-TeXAtom-ORD\"><mml:mi>K</mml:mi><mml:mo>=</mml:mo><mml:mi>N</mml:mi><mml:mo>&amp;#x2212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math>.":[243],"Connections":[244],"drawn":[246],"single-particle":[249],"multi-level":[252],"coherence":[253,264],"theory.":[254],"pure":[259],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>K</mml:mi></mml:math>-level":[263],"detected":[267],"semi-device":[270],"independent":[271],"manner,":[272],"only":[275],"assumption":[276],"being":[277],"conservation":[278],"number.":[281]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
