{"id":"https://openalex.org/W4407583065","doi":"https://doi.org/10.3390/sym17020292","title":"Symmetric Spaces of Qubits and Gaussian Modes","display_name":"Symmetric Spaces of Qubits and Gaussian Modes","publication_year":2025,"publication_date":"2025-02-14","ids":{"openalex":"https://openalex.org/W4407583065","doi":"https://doi.org/10.3390/sym17020292"},"language":"en","primary_location":{"id":"doi:10.3390/sym17020292","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17020292","pdf_url":"https://www.mdpi.com/2073-8994/17/2/292/pdf?version=1739529426","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/17/2/292/pdf?version=1739529426","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5114354926","display_name":"Antonio de Jes\u00fas Castillo Moctezuma","orcid":null},"institutions":[{"id":"https://openalex.org/I129858807","display_name":"Universidad de Guanajuato","ror":"https://ror.org/058cjye32","country_code":"MX","type":"education","lineage":["https://openalex.org/I129858807"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Antonio de Jes\u00fas Castillo Moctezuma","raw_affiliation_strings":["Departamento de F\u00edsica, Universidad de Guanajuato, Loma del Bosque 135, Le\u00f3n Guanajuato 37150, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica, Universidad de Guanajuato, Loma del Bosque 135, Le\u00f3n Guanajuato 37150, Mexico","institution_ids":["https://openalex.org/I129858807"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081500118","display_name":"Jos\u00e9 Luis Lucio","orcid":"https://orcid.org/0000-0002-2531-0772"},"institutions":[{"id":"https://openalex.org/I129858807","display_name":"Universidad de Guanajuato","ror":"https://ror.org/058cjye32","country_code":"MX","type":"education","lineage":["https://openalex.org/I129858807"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Jos\u00e9 Luis Lucio","raw_affiliation_strings":["Departamento de F\u00edsica, Universidad de Guanajuato, Loma del Bosque 135, Le\u00f3n Guanajuato 37150, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica, Universidad de Guanajuato, Loma del Bosque 135, Le\u00f3n Guanajuato 37150, Mexico","institution_ids":["https://openalex.org/I129858807"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5116274039","display_name":"Alan Josu\u00e9 Sierra-Torres","orcid":null},"institutions":[{"id":"https://openalex.org/I129858807","display_name":"Universidad de Guanajuato","ror":"https://ror.org/058cjye32","country_code":"MX","type":"education","lineage":["https://openalex.org/I129858807"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Alan Josu\u00e9 Sierra-Torres","raw_affiliation_strings":["Departamento de F\u00edsica, Universidad de Guanajuato, Loma del Bosque 135, Le\u00f3n Guanajuato 37150, Mexico"],"affiliations":[{"raw_affiliation_string":"Departamento de F\u00edsica, Universidad de Guanajuato, Loma del Bosque 135, Le\u00f3n Guanajuato 37150, Mexico","institution_ids":["https://openalex.org/I129858807"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5081500118"],"corresponding_institution_ids":["https://openalex.org/I129858807"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01082333,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"2","first_page":"292","last_page":"292"},"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/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":0.9980999827384949,"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/qubit","display_name":"Qubit","score":0.6994775533676147},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.5651410222053528},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.45965710282325745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3919622004032135},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3765026926994324},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3644872307777405},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.33722400665283203},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33162522315979004},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1891860067844391},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.17835205793380737}],"concepts":[{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.6994775533676147},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.5651410222053528},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.45965710282325745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3919622004032135},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3765026926994324},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3644872307777405},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.33722400665283203},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33162522315979004},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1891860067844391},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.17835205793380737}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3390/sym17020292","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17020292","pdf_url":"https://www.mdpi.com/2073-8994/17/2/292/pdf?version=1739529426","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3390/sym17020292","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym17020292","pdf_url":"https://www.mdpi.com/2073-8994/17/2/292/pdf?version=1739529426","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4591073833","display_name":null,"funder_award_id":"CIIC 2024-proyecto 043/2024","funder_id":"https://openalex.org/F4320323606","funder_display_name":"Universidad de Guanajuato"}],"funders":[{"id":"https://openalex.org/F4320323606","display_name":"Universidad de Guanajuato","ror":"https://ror.org/058cjye32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4407583065.pdf","grobid_xml":"https://content.openalex.org/works/W4407583065.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1587402570","https://openalex.org/W1607440767","https://openalex.org/W1678454200","https://openalex.org/W1932288919","https://openalex.org/W1974928788","https://openalex.org/W1981907501","https://openalex.org/W1996616239","https://openalex.org/W1997710075","https://openalex.org/W2001686771","https://openalex.org/W2006547144","https://openalex.org/W2006970299","https://openalex.org/W2037417588","https://openalex.org/W2037770843","https://openalex.org/W2043619701","https://openalex.org/W2053649700","https://openalex.org/W2066365197","https://openalex.org/W2069899054","https://openalex.org/W2073781628","https://openalex.org/W2085853969","https://openalex.org/W2089073563","https://openalex.org/W2106725754","https://openalex.org/W2144126354","https://openalex.org/W2159986543","https://openalex.org/W2161482522","https://openalex.org/W2224843830","https://openalex.org/W2536678946","https://openalex.org/W2724918723","https://openalex.org/W3088577080","https://openalex.org/W3098023913","https://openalex.org/W3134535788","https://openalex.org/W3200611412","https://openalex.org/W4320351231"],"related_works":["https://openalex.org/W5300633","https://openalex.org/W2467115909","https://openalex.org/W82723519","https://openalex.org/W1986929019","https://openalex.org/W3100920385","https://openalex.org/W3160757040","https://openalex.org/W2163876108","https://openalex.org/W4320854479","https://openalex.org/W4382280550","https://openalex.org/W2989761958"],"abstract_inverted_index":{"The":[0],"understanding":[1],"of":[2,5,32,60,69,74,86,96,110,143],"the":[3,17,30,58,70,75,83,87,93,130,140,144],"properties":[4],"multipartite":[6],"systems":[7],"is":[8],"a":[9,44,67],"long-standing":[10],"challenge":[11],"in":[12],"quantum":[13,33],"theory":[14],"that":[15,25,40,63],"signals":[16],"need":[18],"for":[19],"new":[20],"ideas":[21],"and":[22,50,77,99,115,123,135],"alternative":[23],"frameworks":[24],"can":[26,132],"shed":[27],"light":[28],"on":[29,57],"intricacies":[31],"behavior.":[34],"In":[35],"this":[36],"work,":[37],"we":[38,126],"argue":[39],"symmetric":[41,94,145],"spaces":[42,95],"provide":[43],"common":[45],"language":[46],"to":[47,102],"describe":[48],"two-qubit":[49],"two-mode":[51],"Gaussian":[52],"systems.":[53],"Our":[54],"approach":[55],"relies":[56],"use":[59],"equivalence":[61],"classes":[62,104],"are":[64],"defined":[65],"by":[66],"subgroup":[68],"maximal":[71],"symmetry":[72],"group":[73,88],"system":[76],"involves":[78],"an":[79,107],"involution":[80],"which":[81,105],"enables":[82],"Cartan":[84],"decomposition":[85],"elements.":[89],"We":[90],"work":[91],"out":[92,128],"two":[97,100],"qubits":[98,122],"modes":[101],"identify":[103],"include":[106],"equal":[108],"degree":[109],"mixing":[111],"states,":[112,114,117],"product":[113],"X":[116],"among":[118],"others.":[119],"For":[120],"three":[121,124],"modes,":[125],"point":[127],"how":[129],"framework":[131],"be":[133],"generalized":[134],"report":[136],"partial":[137],"results":[138],"about":[139],"physical":[141],"interpretations":[142],"spaces.":[146]},"counts_by_year":[],"updated_date":"2026-03-09T07:00:12.390032","created_date":"2025-10-10T00:00:00"}
