{"id":"https://openalex.org/W4415109191","doi":"https://doi.org/10.1103/45v3-h82q","title":"Toward fault-tolerant quantum memory with universal continuous-variable gates","display_name":"Toward fault-tolerant quantum memory with universal continuous-variable gates","publication_year":2026,"publication_date":"2026-08-31","ids":{"openalex":"https://openalex.org/W4415109191","doi":"https://doi.org/10.1103/45v3-h82q"},"language":"en","primary_location":{"id":"doi:10.1103/45v3-h82q","doi":"https://doi.org/10.1103/45v3-h82q","is_oa":true,"landing_page_url":"https://doi.org/10.1103/45v3-h82q","pdf_url":null,"source":{"id":"https://openalex.org/S4210240247","display_name":"Physical Review Research","issn_l":"2643-1564","issn":["2643-1564"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Research","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1103/45v3-h82q","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Sheron Blair","orcid":"https://orcid.org/0009-0008-3910-2561","observed_orcids":["https://orcid.org/0009-0008-3910-2561"]},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]},{"id":"https://openalex.org/I188760350","display_name":"Ollscoil na Gaillimhe \u2013 University of Galway","ror":"https://ror.org/03bea9k73","country_code":"IE","type":"education","lineage":["https://openalex.org/I188760350"]},{"id":"https://openalex.org/I2802744477","display_name":"Irish Centre for High-End Computing","ror":"https://ror.org/04te6a418","country_code":"IE","type":"funder","lineage":["https://openalex.org/I2802744477"]}],"countries":["GB","IE"],"is_corresponding":false,"raw_author_name":"Sheron Blair","raw_affiliation_strings":["Irish Centre for High-End Computing","Queen's University Belfast","University of Galway"],"raw_orcid":"https://orcid.org/0009-0008-3910-2561","affiliations":[{"raw_affiliation_string":"Irish Centre for High-End Computing","institution_ids":["https://openalex.org/I2802744477"]},{"raw_affiliation_string":"Queen's University Belfast","institution_ids":["https://openalex.org/I126231945"]},{"raw_affiliation_string":"University of Galway","institution_ids":["https://openalex.org/I188760350"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061005194","display_name":"Francesco Arzani","orcid":"https://orcid.org/0000-0002-4439-6962","observed_orcids":["https://orcid.org/0000-0002-4439-6962"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Francesco Arzani","raw_affiliation_strings":["CNRS","INRIA","\u00c9cole Normale Sup\u00e9rieure"],"raw_orcid":"https://orcid.org/0000-0002-4439-6962","affiliations":[{"raw_affiliation_string":"CNRS","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"INRIA","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"\u00c9cole Normale Sup\u00e9rieure","institution_ids":["https://openalex.org/I29607241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000246036","display_name":"Giulia Ferrini","orcid":"https://orcid.org/0000-0002-7130-6723","observed_orcids":["https://orcid.org/0000-0002-7130-6723"]},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Giulia Ferrini","raw_affiliation_strings":["Chalmers University of Technology"],"raw_orcid":"https://orcid.org/0000-0002-7130-6723","affiliations":[{"raw_affiliation_string":"Chalmers University of Technology","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026403154","display_name":"Alessandro Ferraro","orcid":"https://orcid.org/0000-0002-7579-6336","observed_orcids":["https://orcid.org/0000-0002-7579-6336"]},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Alessandro Ferraro","raw_affiliation_strings":["Universit\u00e0 degli Studi di Milano"],"raw_orcid":"https://orcid.org/0000-0002-7579-6336","affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Milano","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2625,"currency":"USD","value_usd":2625},"apc_paid":{"value":2625,"currency":"USD","value_usd":2625},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01249907,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"8","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9779999852180481,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9779999852180481,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.0210999995470047,"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/T11804","display_name":"Quantum many-body systems","score":9.999999747378752e-05,"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/fault-tolerant-quantum-computation","display_name":"fault-tolerant quantum computing","score":0.9520000219345093},{"id":"https://openalex.org/keywords/continuous-variable-quantum-computing","display_name":"continuous-variable quantum computing","score":0.9300000071525574},{"id":"https://openalex.org/keywords/universal-computation","display_name":"universal computation","score":0.7839999794960022},{"id":"https://openalex.org/keywords/concatenated-codes","display_name":"concatenated codes","score":0.6039999723434448},{"id":"https://openalex.org/keywords/error-threshold","display_name":"error threshold","score":0.5479999780654907},{"id":"https://openalex.org/keywords/quantum-memory","display_name":"quantum memory","score":0.49000000953674316}],"concepts":[{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.6917999982833862},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.6496000289916992},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.595300018787384},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5580999851226807},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.508899986743927},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5026999711990356},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4805000126361847},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47839999198913574},{"id":"https://openalex.org/C131017901","wikidata":"https://www.wikidata.org/wiki/Q170451","display_name":"Logic gate","level":2,"score":0.4348999857902527},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.42739999294281006},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.4244999885559082},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4097999930381775},{"id":"https://openalex.org/C142465778","wikidata":"https://www.wikidata.org/wiki/Q2502619","display_name":"Toffoli gate","level":5,"score":0.3790000081062317},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3666999936103821},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.34700000286102295},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.34040001034736633},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33709999918937683},{"id":"https://openalex.org/C169460222","wikidata":"https://www.wikidata.org/wiki/Q1206311","display_name":"Quantum logic","level":4,"score":0.31139999628067017},{"id":"https://openalex.org/C182953411","wikidata":"https://www.wikidata.org/wiki/Q917713","display_name":"Controlled NOT gate","level":5,"score":0.3082999885082245},{"id":"https://openalex.org/C102565666","wikidata":"https://www.wikidata.org/wiki/Q1378301","display_name":"Universal set","level":3,"score":0.30720001459121704},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.2992999851703644},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2973000109195709},{"id":"https://openalex.org/C20274610","wikidata":"https://www.wikidata.org/wiki/Q185410","display_name":"Reversible computing","level":4,"score":0.2930999994277954},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.29280000925064087},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.2856000065803528},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.26919999718666077},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.2689000070095062},{"id":"https://openalex.org/C192061203","wikidata":"https://www.wikidata.org/wiki/Q765620","display_name":"Quantum Turing machine","level":5,"score":0.2678000032901764},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.2587999999523163},{"id":"https://openalex.org/C10418432","wikidata":"https://www.wikidata.org/wiki/Q560370","display_name":"AND gate","level":3,"score":0.25130000710487366},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.25130000710487366}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1103/45v3-h82q","doi":"https://doi.org/10.1103/45v3-h82q","is_oa":true,"landing_page_url":"https://doi.org/10.1103/45v3-h82q","pdf_url":null,"source":{"id":"https://openalex.org/S4210240247","display_name":"Physical Review Research","issn_l":"2643-1564","issn":["2643-1564"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Research","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2506.13643","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2506.13643","pdf_url":"https://arxiv.org/pdf/2506.13643","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":"pmh:oai:research.chalmers.se:554710","doi":null,"is_oa":true,"landing_page_url":"https://research.chalmers.se/en/publication/554710","pdf_url":"https://research.chalmers.se/publication/554710/file/554710_Fulltext.pdf","source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"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":null},{"id":"pmh:oai:HAL:hal-05732609v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-05732609v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2026","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:doaj.org/article:92351bca28a4461d8342cc276521c270","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/92351bca28a4461d8342cc276521c270","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,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Physical Review Research, Vol 8, Iss 4, p L042006 (2026)","raw_type":"article"},{"id":"doi:10.48550/arxiv.2506.13643","doi":"https://doi.org/10.48550/arxiv.2506.13643","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2506.13643","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1103/45v3-h82q","doi":"https://doi.org/10.1103/45v3-h82q","is_oa":true,"landing_page_url":"https://doi.org/10.1103/45v3-h82q","pdf_url":null,"source":{"id":"https://openalex.org/S4210240247","display_name":"Physical Review Research","issn_l":"2643-1564","issn":["2643-1564"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-b","jufo-1","norway-1","oarl","poland-20","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Research","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320322327","display_name":"Knut och Alice Wallenbergs Stiftelse","ror":"https://ror.org/004hzzk67"},{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"},{"id":"https://openalex.org/F4320336997","display_name":"Wallenberg Center for Quantum Technology, Chalmers University of Technology","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":86,"referenced_works":["https://openalex.org/W1964649901","https://openalex.org/W1965048724","https://openalex.org/W1970948459","https://openalex.org/W1984125696","https://openalex.org/W1988961156","https://openalex.org/W2012861049","https://openalex.org/W2014704465","https://openalex.org/W2030867075","https://openalex.org/W2037549746","https://openalex.org/W2042414709","https://openalex.org/W2045257197","https://openalex.org/W2052268104","https://openalex.org/W2053451295","https://openalex.org/W2068006129","https://openalex.org/W2085627469","https://openalex.org/W2085785187","https://openalex.org/W2089789768","https://openalex.org/W2116679455","https://openalex.org/W2142739935","https://openalex.org/W2258198008","https://openalex.org/W2268301561","https://openalex.org/W2331985790","https://openalex.org/W2475304489","https://openalex.org/W2502126115","https://openalex.org/W2592132273","https://openalex.org/W2592504049","https://openalex.org/W2730535290","https://openalex.org/W2744804061","https://openalex.org/W2771949961","https://openalex.org/W2796615720","https://openalex.org/W2797107103","https://openalex.org/W2797468813","https://openalex.org/W2809935594","https://openalex.org/W2884199211","https://openalex.org/W2893923006","https://openalex.org/W2912158509","https://openalex.org/W2913677605","https://openalex.org/W2919976880","https://openalex.org/W2920934058","https://openalex.org/W2963360541","https://openalex.org/W2963431321","https://openalex.org/W2980931129","https://openalex.org/W2981204562","https://openalex.org/W2991525509","https://openalex.org/W2995724754","https://openalex.org/W2996923237","https://openalex.org/W3004899691","https://openalex.org/W3007806070","https://openalex.org/W3011304246","https://openalex.org/W3011844650","https://openalex.org/W3082126467","https://openalex.org/W3086505807","https://openalex.org/W3092581746","https://openalex.org/W3092842034","https://openalex.org/W3093300190","https://openalex.org/W3103356958","https://openalex.org/W3127789031","https://openalex.org/W3139002780","https://openalex.org/W3174670458","https://openalex.org/W3176603110","https://openalex.org/W3190150481","https://openalex.org/W3199299193","https://openalex.org/W3202276558","https://openalex.org/W3212644089","https://openalex.org/W4210810680","https://openalex.org/W4243174996","https://openalex.org/W4280649427","https://openalex.org/W4281891658","https://openalex.org/W4286005813","https://openalex.org/W4353055437","https://openalex.org/W4353055568","https://openalex.org/W4360611238","https://openalex.org/W4383217841","https://openalex.org/W4387491962","https://openalex.org/W4387532142","https://openalex.org/W4390614225","https://openalex.org/W4390967679","https://openalex.org/W4392111353","https://openalex.org/W4393054072","https://openalex.org/W4398201035","https://openalex.org/W4400110714","https://openalex.org/W4406693713","https://openalex.org/W4410362117","https://openalex.org/W4414342517","https://openalex.org/W4415954621","https://openalex.org/W4415965637"],"related_works":["https://openalex.org/W2919976880","https://openalex.org/W7131630406","https://openalex.org/W6963997273","https://openalex.org/W4281769640","https://openalex.org/W7071039955","https://openalex.org/W2807785353","https://openalex.org/W4410717769","https://openalex.org/W4413401680","https://openalex.org/W1828782323","https://openalex.org/W4210735068"],"abstract_inverted_index":{"Continuous-variable":[0],"(CV)":[1],"systems":[2],"have":[3],"shown":[4],"remarkable":[5],"potential":[6],"for":[7,18,48,152],"quantum":[8],"computation,":[9],"particularly":[10],"excelling":[11],"in":[12,77,106],"scalability":[13],"and":[14,37,40,134],"holding":[15],"great":[16],"promise":[17],"error":[19,146],"correction":[20],"through":[21],"bosonic":[22],"encoding.":[23,114],"Within":[24],"this":[25,69,107],"framework,":[26],"the":[27,49,60,65,111,119,137,149],"foundational":[28],"notion":[29],"of":[30,51,54,59,68,84,121,130,141],"computational":[31,70],"universality":[32],"was":[33],"introduced":[34],"by":[35,109],"Lloyd":[36],"Braunstein":[38],"[],":[39],"has":[41],"proven":[42],"especially":[43],"successful":[44],"since":[45],"it":[46],"allows":[47],"identification":[50],"finite":[52],"sets":[53],"universal":[55,92,131],"CV":[56,93,132],"gates":[57,94],"independent":[58],"encoding":[61],"scheme.":[62],"However,":[63],"realizing":[64],"full":[66],"power":[67],"model":[71],"requires":[72],"achieving":[73],"fault":[74,100],"tolerance,":[75],"which":[76],"turn":[78],"demands":[79],"discretization":[80],"via":[81,155],"some":[82],"form":[83],"encoding\u2014and,":[85],"to":[86,98,144],"date,":[87],"no":[88],"proof":[89],"exists":[90],"that":[91,136],"can":[95],"give":[96],"rise":[97],"encoded":[99],"tolerance.":[101],"We":[102],"present":[103],"compelling":[104],"evidence":[105],"direction":[108],"utilizing":[110],"Gottesman-Kitaev-Preskill":[112],"(GKP)":[113],"Specifically,":[115],"we":[116],"numerically":[117],"optimize":[118],"generation":[120],"GKP":[122],"states":[123,139],"from":[124],"vacua":[125],"using":[126],"circuits":[127],"comprised":[128],"solely":[129],"gates,":[133],"demonstrate":[135],"resulting":[138],"are":[140],"sufficient":[142],"quality":[143],"exhibit":[145],"probabilities":[147],"below":[148],"threshold":[150],"required":[151],"fault-tolerant":[153],"memory":[154],"concatenated":[156],"GKP-stabilizer":[157],"codes.":[158]},"counts_by_year":[],"updated_date":"2026-10-31T12:09:11.096373","created_date":"2025-10-13T00:00:00"}