{"id":"https://openalex.org/W2102940784","doi":"https://doi.org/10.1109/tit.2015.2439953","title":"On the Power of PPT-Preserving and Non-Signalling Codes","display_name":"On the Power of PPT-Preserving and Non-Signalling Codes","publication_year":2015,"publication_date":"2015-06-02","ids":{"openalex":"https://openalex.org/W2102940784","doi":"https://doi.org/10.1109/tit.2015.2439953","mag":"2102940784"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2015.2439953","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2439953","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1406.7142","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057755410","display_name":"Debbie Leung","orcid":"https://orcid.org/0000-0003-3750-2648"},"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":true,"raw_author_name":"Debbie Leung","raw_affiliation_strings":["Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Combinatorics and Optimization, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036019559","display_name":"William Matthews","orcid":"https://orcid.org/0000-0003-3560-9177"},"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"]},{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["CA","GB"],"is_corresponding":false,"raw_author_name":"William Matthews","raw_affiliation_strings":["Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, U.K","Institute for Quantum Computing, University of Waterloo, Waterloo, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, U.K","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Institute for Quantum Computing, University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5057755410"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":null,"apc_paid":null,"fwci":11.9118,"has_fulltext":false,"cited_by_count":88,"citation_normalized_percentile":{"value":0.9869444,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"61","issue":"8","first_page":"4486","last_page":"4499"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9983000159263611,"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/T12029","display_name":"DNA and Biological Computing","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/signalling","display_name":"Signalling","score":0.4923661947250366},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.490911066532135},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46527573466300964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36899393796920776},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08093664050102234}],"concepts":[{"id":"https://openalex.org/C39743133","wikidata":"https://www.wikidata.org/wiki/Q3262595","display_name":"Signalling","level":2,"score":0.4923661947250366},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.490911066532135},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46527573466300964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36899393796920776},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08093664050102234},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2015.2439953","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2439953","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1406.7142","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.7142","pdf_url":"https://arxiv.org/pdf/1406.7142","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1406.7142","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1406.7142","pdf_url":"https://arxiv.org/pdf/1406.7142","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"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309949","display_name":"Canadian Institute for Advanced Research","ror":"https://ror.org/01sdtdd95"},{"id":"https://openalex.org/F4320320994","display_name":"Canada Research Chairs","ror":"https://ror.org/0517h6h17"},{"id":"https://openalex.org/F4320322909","display_name":"Isaac Newton Trust","ror":"https://ror.org/02gn6ta77"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1968334290","https://openalex.org/W1977545330","https://openalex.org/W1978553093","https://openalex.org/W1989338245","https://openalex.org/W1992717794","https://openalex.org/W2000180194","https://openalex.org/W2013695092","https://openalex.org/W2014135610","https://openalex.org/W2020725861","https://openalex.org/W2024830741","https://openalex.org/W2025050392","https://openalex.org/W2032813631","https://openalex.org/W2044607357","https://openalex.org/W2060887031","https://openalex.org/W2066331763","https://openalex.org/W2075809190","https://openalex.org/W2079150681","https://openalex.org/W2092583681","https://openalex.org/W2106864314","https://openalex.org/W2115444832","https://openalex.org/W2123142728","https://openalex.org/W2124792389","https://openalex.org/W2126603822","https://openalex.org/W2141412822","https://openalex.org/W2144366045","https://openalex.org/W2159351168","https://openalex.org/W2165357744","https://openalex.org/W2912522929","https://openalex.org/W3098332320","https://openalex.org/W3099282663","https://openalex.org/W3100803127","https://openalex.org/W3102125882","https://openalex.org/W3103029110","https://openalex.org/W3103649244","https://openalex.org/W3104006593","https://openalex.org/W3105487184","https://openalex.org/W6681449471"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"We":[0,10,43,95,172],"derive":[1,65],"one-shot":[2],"upper":[3],"bounds":[4],"for":[5,70,86,149],"quantum":[6,84,170,185],"noisy":[7],"channel":[8,16],"codes.":[9,151],"do":[11],"so":[12],"by":[13,108],"regarding":[14],"a":[15,19,30,66,114,146,180],"code":[17],"as":[18,179],"bipartite":[20,41,50],"operation":[21,51],"with":[22],"an":[23],"encoder":[24],"belonging":[25,32],"to":[26,33,56,91,113],"the":[27,34,40,45,71,76,82,92,102,117,141,165],"sender":[28],"and":[29,36,64,101,128,143],"decoder":[31],"receiver,":[35],"imposing":[37],"constraints":[38],"on":[39],"operation.":[42],"investigate":[44],"power":[46],"of":[47,140,164,182,184],"codes":[48,100,124,136,155],"whose":[49],"is":[52,89],"non-signalling":[53,127,154],"from":[54],"Alice":[55],"Bob,":[57],"positive-partial":[58],"transpose":[59],"(PPT)":[60],"preserving,":[61],"or":[62],"both,":[63],"simple":[67],"semidefinite":[68,77],"program":[69],"achievable":[72],"entanglement":[73,104],"fidelity.":[74],"Using":[75],"program,":[78],"we":[79,121],"show":[80],"that":[81,123,125],"non-signalling-assisted":[83],"capacity":[85],"memoryless":[87],"channels":[88],"equal":[90],"entanglement-assisted":[93],"capacity.":[94,171,186],"also":[96],"relate":[97],"our":[98],"PPT-preserving":[99,103,129,153],"distillation":[105],"protocols":[106],"studied":[107],"Rains.":[109],"Applying":[110],"these":[111],"results":[112],"concrete":[115],"example,":[116],"3-dimensional":[118],"Werner-Holevo":[119],"channel,":[120,166],"find":[122],"are":[126],"can":[130,156,176],"be":[131,177],"strictly":[132],"less":[133],"powerful":[134],"than":[135],"satisfying":[137],"either":[138],"one":[139],"constraints,":[142],"therefore":[144],"provide":[145],"tighter":[147],"bound":[148],"unassisted":[150],"Furthermore,":[152],"send":[157],"1":[158],"qubit":[159],"perfectly":[160],"over":[161],"two":[162],"uses":[163],"which":[167],"has":[168],"no":[169],"discuss":[173],"whether":[174],"this":[175],"interpreted":[178],"form":[181],"superactivation":[183]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":10},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":15},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}