{"id":"https://openalex.org/W2902865972","doi":"https://doi.org/10.22331/q-2022-07-07-755","title":"Constant gap between conventional strategies and those based on C*-dynamics for self-embezzlement","display_name":"Constant gap between conventional strategies and those based on C*-dynamics for self-embezzlement","publication_year":2022,"publication_date":"2022-07-07","ids":{"openalex":"https://openalex.org/W2902865972","doi":"https://doi.org/10.22331/q-2022-07-07-755","mag":"2902865972"},"language":"en","primary_location":{"id":"doi:10.22331/q-2022-07-07-755","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-07-07-755","pdf_url":"https://quantum-journal.org/papers/q-2022-07-07-755/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":"article","indexed_in":["arxiv","crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2022-07-07-755/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001743971","display_name":"Richard Cleve","orcid":null},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Richard Cleve","raw_affiliation_strings":["Institute for Quantum Computing and Cheriton School of Computer Science, University of Waterloo, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing and Cheriton School of Computer Science, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111626181","display_name":"Beno\u0131\u0302t Collins","orcid":"https://orcid.org/0000-0001-7061-6861"},"institutions":[{"id":"https://openalex.org/I22299242","display_name":"Kyoto University","ror":"https://ror.org/02kpeqv85","country_code":"JP","type":"education","lineage":["https://openalex.org/I22299242"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Benoit Collins","raw_affiliation_strings":["Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan"],"raw_orcid":"https://orcid.org/0000-0001-7061-6861","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan","institution_ids":["https://openalex.org/I22299242"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100418801","display_name":"Li Liu","orcid":"https://orcid.org/0000-0002-3660-221X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Li Liu","raw_affiliation_strings":["Institute for Quantum Computing and Cheriton School of Computer Science, University of Waterloo, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing and Cheriton School of Computer Science, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017222701","display_name":"Vern I. Paulsen","orcid":"https://orcid.org/0000-0002-2361-852X"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Vern Paulsen","raw_affiliation_strings":["Institute for Quantum Computing and Department of Pure Mathematics, University of Waterloo, Canada"],"raw_orcid":"https://orcid.org/0000-0002-2361-852X","affiliations":[{"raw_affiliation_string":"Institute for Quantum Computing and Department of Pure Mathematics, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"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":0.1529,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.46653206,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"6","issue":null,"first_page":"755","last_page":"755"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9990000128746033,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9958000183105469,"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/algorithm","display_name":"Algorithm","score":0.6606649160385132},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.5575025081634521},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43592262268066406},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3937200903892517},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.11203840374946594}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6606649160385132},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5575025081634521},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43592262268066406},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3937200903892517},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.11203840374946594},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2022-07-07-755","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-07-07-755","pdf_url":"https://quantum-journal.org/papers/q-2022-07-07-755/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:1811.12575","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.12575","pdf_url":"https://arxiv.org/pdf/1811.12575","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":"pmh:oai:doaj.org/article:4e49d63d96d541799a37f49196512eb2","is_oa":true,"landing_page_url":"https://doaj.org/article/4e49d63d96d541799a37f49196512eb2","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 755 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2022-07-07-755","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2022-07-07-755","pdf_url":"https://quantum-journal.org/papers/q-2022-07-07-755/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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320328291","display_name":"Institut Henri Poincar\u00e9","ror":null},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2902865972.pdf","grobid_xml":"https://content.openalex.org/works/W2902865972.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W1533213248","https://openalex.org/W1546322230","https://openalex.org/W1557857086","https://openalex.org/W1658418195","https://openalex.org/W1974209220","https://openalex.org/W1997947655","https://openalex.org/W2028815089","https://openalex.org/W2033376433","https://openalex.org/W2039308336","https://openalex.org/W2047535648","https://openalex.org/W2051445562","https://openalex.org/W2055874354","https://openalex.org/W2071968733","https://openalex.org/W2072392512","https://openalex.org/W2109989966","https://openalex.org/W2163684974","https://openalex.org/W2232305496","https://openalex.org/W2344582723","https://openalex.org/W2399785464","https://openalex.org/W2409246750","https://openalex.org/W2430903954","https://openalex.org/W2503907534","https://openalex.org/W2576128646","https://openalex.org/W2782066919","https://openalex.org/W2787647070","https://openalex.org/W2804172638","https://openalex.org/W2962895588","https://openalex.org/W2963851389","https://openalex.org/W3099093146","https://openalex.org/W3099772093","https://openalex.org/W3101333299","https://openalex.org/W3102418387","https://openalex.org/W3104728484","https://openalex.org/W4250958665","https://openalex.org/W4299892599"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2999799752","https://openalex.org/W2051487156","https://openalex.org/W2372768926","https://openalex.org/W2115167491"],"abstract_inverted_index":{"We":[0,63],"consider":[1],"a":[2,14,41,74,89,100,134,148,171,182],"bipartite":[3,30],"transformation":[4],"that":[5,71,82,97,105],"we":[6,95],"call":[7,64],"self-embezzlement":[8,106],"and":[9,40,69,194],"use":[10],"it":[11,72,83],"to":[12,169],"prove":[13],"constant":[15,101,183],"gap":[16,184],"between":[17,185],"the":[18,26,66,78,92,118,128,157,163,186,189,195],"capabilities":[19,187],"of":[20,23,37,44,61,77,165,188],"two":[21],"models":[22],"quantum":[24,45,174],"information:":[25],"conventional":[27,93,190],"model,":[28,94],"where":[29,53],"systems":[31,55],"are":[32,56],"represented":[33,57],"by":[34,58],"tensor":[35,59],"products":[36,60],"Hilbert":[38,191],"spaces;":[39],"natural":[42,173],"model":[43,68,80,193],"information":[46,175],"processing":[47,176],"for":[48,178],"abstract":[49],"states":[50],"on":[51],"C*-algebras,":[52],"joint":[54],"C*-algebras.":[62],"this":[65],"C*-circuit":[67,129,198],"show":[70,96],"is":[73,146,168,181],"special":[75],"case":[76],"commuting-operator":[79,135,196],"(in":[81],"can":[84,138],"be":[85,108,121,139],"translated":[86],"into":[87],"such":[88,104],"model).":[90],"For":[91],"there":[98,180],"exists":[99],"<mml:math":[102,115,124,140,144],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mi>&amp;#x03F5;</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>&amp;#x003E;</mml:mo><mml:mn>0</mml:mn></mml:math>":[103],"cannot":[107,120],"achieved":[109],"with":[110],"precision":[111,137],"parameter":[112],"less":[113],"than":[114,123],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msub><mml:mi>&amp;#x03F5;</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math>":[116],"(i.e.,":[117,142],"fidelity":[119,143],"greater":[122],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mn>1</mml:mn><mml:mo>&amp;#x2212;</mml:mo><mml:msub><mml:mi>&amp;#x03F5;</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math>);":[125],"whereas,":[126],"in":[127,133],"model---as":[130],"well":[131],"as":[132],"model---the":[136],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mn>0</mml:mn></mml:math>":[141],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mn>1</mml:mn></mml:math>).Self-embezzlement":[145],"not":[147,155],"non-local":[149],"game,":[150],"hence":[151],"our":[152],"results":[153,167],"do":[154],"impact":[156],"celebrated":[158],"Connes":[159],"Embedding":[160],"conjecture.":[161],"Instead,":[162],"significance":[164],"these":[166],"exhibit":[170],"reasonably":[172],"problem":[177],"which":[179],"space":[192],"or":[197],"model.":[199]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2018-12-11T00:00:00"}
