{"id":"https://openalex.org/W3103340881","doi":"https://doi.org/10.22331/q-2021-06-17-477","title":"Optimal Multi-port-based Teleportation Schemes","display_name":"Optimal Multi-port-based Teleportation Schemes","publication_year":2021,"publication_date":"2021-06-17","ids":{"openalex":"https://openalex.org/W3103340881","doi":"https://doi.org/10.22331/q-2021-06-17-477","mag":"3103340881"},"language":"en","primary_location":{"id":"doi:10.22331/q-2021-06-17-477","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-06-17-477","pdf_url":"https://quantum-journal.org/papers/q-2021-06-17-477/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-2021-06-17-477/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045055063","display_name":"Marek Mozrzymas","orcid":"https://orcid.org/0000-0003-1905-7595"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Marek Mozrzymas","raw_affiliation_strings":["Institute for Theoretical Physics, University of Wroc\u0142aw, 50-204 Wroc\u0142aw, Poland"],"affiliations":[{"raw_affiliation_string":"Institute for Theoretical Physics, University of Wroc\u0142aw, 50-204 Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075335801","display_name":"Micha\u0142 Studzi\u0144ski","orcid":"https://orcid.org/0000-0002-5946-9845"},"institutions":[{"id":"https://openalex.org/I40413290","display_name":"University of Gda\u0144sk","ror":"https://ror.org/011dv8m48","country_code":"PL","type":"education","lineage":["https://openalex.org/I40413290"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Micha\u0142 Studzi\u0144ski","raw_affiliation_strings":["Institute of Theoretical Physics and Astrophysics, National Quantum Information Centre, University of Gda\u0144sk, 80-952 Gda\u0144sk, Poland"],"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Physics and Astrophysics, National Quantum Information Centre, University of Gda\u0144sk, 80-952 Gda\u0144sk, Poland","institution_ids":["https://openalex.org/I40413290"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081971093","display_name":"Piotr Kopszak","orcid":"https://orcid.org/0000-0003-3594-3562"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Piotr Kopszak","raw_affiliation_strings":["Institute for Theoretical Physics, University of Wroc\u0142aw, 50-204 Wroc\u0142aw, Poland"],"affiliations":[{"raw_affiliation_string":"Institute for Theoretical Physics, University of Wroc\u0142aw, 50-204 Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5045055063"],"corresponding_institution_ids":["https://openalex.org/I219388962"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":1.6798,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.86460951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"5","issue":null,"first_page":"477","last_page":"477"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","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/T10622","display_name":"Quantum Mechanics and Applications","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"}}],"keywords":[{"id":"https://openalex.org/keywords/teleportation","display_name":"Teleportation","score":0.7618210315704346},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.6808464527130127},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.6066843867301941},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.598263144493103},{"id":"https://openalex.org/keywords/quantum-teleportation","display_name":"Quantum teleportation","score":0.5757995247840881},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5469090342521667},{"id":"https://openalex.org/keywords/communication-source","display_name":"Communication source","score":0.49830007553100586},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.46589386463165283},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4125070571899414},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39039233326911926},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37148505449295044},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.36722397804260254},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3533593416213989},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.35001426935195923},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.32590991258621216},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.12730711698532104},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11874046921730042},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09971174597740173},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07836318016052246}],"concepts":[{"id":"https://openalex.org/C154255573","wikidata":"https://www.wikidata.org/wiki/Q204043","display_name":"Teleportation","level":5,"score":0.7618210315704346},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6808464527130127},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.6066843867301941},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.598263144493103},{"id":"https://openalex.org/C91717678","wikidata":"https://www.wikidata.org/wiki/Q1135332","display_name":"Quantum teleportation","level":5,"score":0.5757995247840881},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5469090342521667},{"id":"https://openalex.org/C198104137","wikidata":"https://www.wikidata.org/wiki/Q974688","display_name":"Communication source","level":2,"score":0.49830007553100586},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.46589386463165283},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4125070571899414},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39039233326911926},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37148505449295044},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.36722397804260254},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3533593416213989},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.35001426935195923},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.32590991258621216},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12730711698532104},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11874046921730042},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09971174597740173},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07836318016052246},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.22331/q-2021-06-17-477","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-06-17-477","pdf_url":"https://quantum-journal.org/papers/q-2021-06-17-477/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:2011.09256","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2011.09256","pdf_url":"https://arxiv.org/pdf/2011.09256","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:ee84a84a217d45d3be8900d5eb76d65f","is_oa":true,"landing_page_url":"https://doaj.org/article/ee84a84a217d45d3be8900d5eb76d65f","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum, Vol 5, p 477 (2021)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2021-06-17-477","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2021-06-17-477","pdf_url":"https://quantum-journal.org/papers/q-2021-06-17-477/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":[{"id":"https://openalex.org/G793777099","display_name":null,"funder_award_id":"UMO-2018/28/C/ST2/00004","funder_id":"https://openalex.org/F4320322650","funder_display_name":"Narodowym Centrum Nauki"}],"funders":[{"id":"https://openalex.org/F4320322650","display_name":"Narodowym Centrum Nauki","ror":"https://ror.org/03ha2q922"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3103340881.pdf","grobid_xml":"https://content.openalex.org/works/W3103340881.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1490521149","https://openalex.org/W1534413569","https://openalex.org/W1560341753","https://openalex.org/W1773465796","https://openalex.org/W1814730161","https://openalex.org/W1968293918","https://openalex.org/W1973196368","https://openalex.org/W1978553093","https://openalex.org/W2013793864","https://openalex.org/W2020657597","https://openalex.org/W2035993353","https://openalex.org/W2045436532","https://openalex.org/W2067204178","https://openalex.org/W2073472891","https://openalex.org/W2080606914","https://openalex.org/W2084869127","https://openalex.org/W2088122368","https://openalex.org/W2090426534","https://openalex.org/W2113730801","https://openalex.org/W2229099293","https://openalex.org/W2492707486","https://openalex.org/W2562451694","https://openalex.org/W2737381156","https://openalex.org/W2743304037","https://openalex.org/W2792708841","https://openalex.org/W2894412165","https://openalex.org/W2942787338","https://openalex.org/W3044722634","https://openalex.org/W3046232833","https://openalex.org/W3080316355","https://openalex.org/W3099290264","https://openalex.org/W3100695709","https://openalex.org/W3103046569","https://openalex.org/W3103187092","https://openalex.org/W3104100960","https://openalex.org/W3104919774","https://openalex.org/W3126603715","https://openalex.org/W4248712868"],"related_works":["https://openalex.org/W1608251638","https://openalex.org/W4375824930","https://openalex.org/W2980738850","https://openalex.org/W2357315292","https://openalex.org/W4220812976","https://openalex.org/W2085324586","https://openalex.org/W1986540667","https://openalex.org/W2150399224","https://openalex.org/W2978473126","https://openalex.org/W2384279691"],"abstract_inverted_index":{"In":[0,41,115,132],"this":[1],"paper,":[2],"we":[3,119],"introduce":[4],"optimal":[5,136,142],"versions":[6],"of":[7,19,36,60,65,83,97,127,138,188],"a":[8,16,128],"multi-port":[9],"based":[10],"teleportation":[11,130],"scheme":[12],"allowing":[13],"to":[14,76,87,167],"send":[15],"large":[17],"amount":[18],"quantum":[20],"information.":[21],"We":[22,91,174],"fully":[23],"characterise":[24],"probabilistic":[25,43],"and":[26,38,69,140,147,158,161,181],"deterministic":[27,117],"case":[28],"by":[29,156],"presenting":[30],"expressions":[31],"for":[32,192],"the":[33,42,45,54,58,63,81,88,95,103,116,124,135,141,152,189,193],"average":[34],"probability":[35],"success":[37],"entanglement":[39,121],"fidelity.":[40],"case,":[44,118],"final":[46],"expression":[47],"depends":[48],"only":[49],"on":[50],"global":[51],"parameters":[52],"describing":[53],"problem,":[55],"such":[56],"as":[57],"number":[59,64,82,96],"ports<mml:math":[61],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>N</mml:mi></mml:math>,":[62],"teleported":[66,98],"systems<mml:math":[67],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>k</mml:mi></mml:math>,":[68],"local":[70],"dimension<mml:math":[71],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>d</mml:mi></mml:math>.":[72],"It":[73],"allows":[74],"us":[75],"show":[77,93],"square":[78],"improvement":[79],"in":[80],"ports":[84,106],"with":[85,123],"respect":[86],"non-optimal":[89],"case.":[90],"also":[92],"that":[94,185],"systems":[99],"can":[100,170],"grow":[101],"when":[102],"number<mml:math":[104],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>N</mml:mi></mml:math>of":[105],"increases":[107],"as<mml:math":[108],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:mi>o</mml:mi><mml:mo":[109],"stretchy=\"false\">(</mml:mo><mml:mi>N</mml:mi><mml:mo":[110],"stretchy=\"false\">)</mml:mo></mml:math>still":[111],"giving":[112],"high":[113],"efficiency.":[114],"connect":[120],"fidelity":[122],"maximal":[125],"eigenvalue":[126],"generalised":[129],"matrix.":[131],"both":[133],"cases":[134],"set":[137],"measurements":[139],"state":[143],"shared":[144],"between":[145],"sender":[146],"receiver":[148],"is":[149],"presented.":[150],"All":[151],"results":[153,184],"are":[154],"obtained":[155],"formulating":[157],"solving":[159],"primal":[160],"dual":[162],"SDP":[163],"problems,":[164],"which":[165],"due":[166],"existing":[168],"symmetries":[169],"be":[171,187],"solved":[172],"analytically.":[173],"use":[175],"extensively":[176],"tools":[177],"from":[178],"representation":[179],"theory":[180],"formulate":[182],"new":[183],"could":[186],"separate":[190],"interest":[191],"potential":[194],"readers.":[195]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}