{"id":"https://openalex.org/W7204144170","doi":"https://doi.org/10.48550/arxiv.2608.21217","title":"Probing quantumness of superpositions of Gaussian states via Tsirelson probability","display_name":"Probing quantumness of superpositions of Gaussian states via Tsirelson probability","publication_year":2026,"publication_date":"2026-08-21","ids":{"openalex":"https://openalex.org/W7204144170","doi":"https://doi.org/10.48550/arxiv.2608.21217"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.21217","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.21217","pdf_url":"https://arxiv.org/pdf/2608.21217","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"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.21217","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159880497","display_name":"Yue Zhang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210120485","display_name":"Academy of Mathematics and Systems Science","ror":"https://ror.org/02jkmyk67","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhang, Yue","raw_affiliation_strings":["School of Mathematical Sciences , University of Chinese Academy of Sciences , Beijing 100049 , China","State Key Laboratory of Mathematical Science , Academy of Mathematics and Systems Science , Chinese Academy of Sciences , Beijing 100190 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences , University of Chinese Academy of Sciences , Beijing 100049 , China","institution_ids":["https://openalex.org/I4210165038"]},{"raw_affiliation_string":"State Key Laboratory of Mathematical Science , Academy of Mathematics and Systems Science , Chinese Academy of Sciences , Beijing 100190 , China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5159880497"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210120485","https://openalex.org/I4210165038"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.6395999789237976,"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":0.6395999789237976,"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":0.3537999987602234,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.0008999999845400453,"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/parity-symmetry","display_name":"parity symmetry","score":0.7720000147819519},{"id":"https://openalex.org/keywords/rotational-symmetry","display_name":"rotational symmetry","score":0.9900000095367432},{"id":"https://openalex.org/keywords/harmonic-oscillator","display_name":"harmonic oscillator","score":0.7630000114440918}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7239999771118164},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.7049999833106995},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5175999999046326},{"id":"https://openalex.org/C152321242","wikidata":"https://www.wikidata.org/wiki/Q7048759","display_name":"Non-Gaussianity","level":4,"score":0.4684999883174896},{"id":"https://openalex.org/C7453019","wikidata":"https://www.wikidata.org/wiki/Q16254302","display_name":"Negativity effect","level":2,"score":0.3917999863624573},{"id":"https://openalex.org/C61326573","wikidata":"https://www.wikidata.org/wiki/Q1496376","display_name":"Gaussian process","level":3,"score":0.3578000068664551},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.33739998936653137},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.32089999318122864},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.2856999933719635},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.2777000069618225},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.2572999894618988},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.25600001215934753}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.21217","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.21217","pdf_url":"https://arxiv.org/pdf/2608.21217","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":"doi:10.48550/arxiv.2608.21217","doi":"https://doi.org/10.48550/arxiv.2608.21217","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.21217","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.21217","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.21217","pdf_url":"https://arxiv.org/pdf/2608.21217","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"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"score":0.8028033971786499,"display_name":"Peace, justice, and strong institutions","id":"https://metadata.un.org/sdg/16"}],"study_designs":[],"awards":[{"id":"https://openalex.org/G1168670829","display_name":null,"funder_award_id":"[2023]004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8974976975","display_name":null,"funder_award_id":"12401609","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204144170.pdf","grobid_xml":"https://content.openalex.org/works/W7204144170.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3011780173","https://openalex.org/W2794124987","https://openalex.org/W4399737006","https://openalex.org/W4224526834","https://openalex.org/W4391477543","https://openalex.org/W4310581865","https://openalex.org/W2091646725","https://openalex.org/W2584675219","https://openalex.org/W2046867657","https://openalex.org/W2603245817"],"abstract_inverted_index":{"Quantifying":[0],"nonclassicality":[1],"in":[2,9,72,146],"continuous-variable":[3,147],"systems":[4],"remains":[5],"a":[6,29,33,60,94,140],"fundamental":[7],"problem":[8],"quantum":[10],"information":[11],"science.":[12],"The":[13],"Tsirelson":[14,19,80,102,118],"probability,":[15],"central":[16],"to":[17,63,121],"the":[18,25,44,65,98],"precession":[20],"protocol,":[21],"is":[22],"defined":[23],"as":[24,59],"average":[26],"probability":[27,58,81],"that":[28,90,111],"precessing":[30],"quadrature":[31],"yields":[32],"positive":[34],"outcome":[35],"when":[36],"measured":[37],"at":[38],"$K$":[39],"equally":[40],"spaced":[41],"times,":[42],"with":[43],"classical":[45],"bound":[46],"given":[47],"by":[48],"$1/2":[49],"\\pm":[50],"1/(2K).$":[51],"In":[52],"this":[53,57],"work,":[54],"we":[55,109],"adopt":[56],"symmetry-sensitive":[61],"probe":[62],"assess":[64],"quantumness":[66,145],"of":[67,69,131],"superpositions":[68,133],"Gaussian":[70],"states":[71,115],"harmonic":[73],"oscillators.":[74],"We":[75],"derive":[76],"analytical":[77],"constraints":[78],"on":[79],"arising":[82],"from":[83],"rotational":[84,113],"and":[85,88,100,138],"parity":[86,91],"symmetries,":[87],"show":[89],"symmetry":[92],"establishes":[93],"universal":[95],"relation":[96],"between":[97],"maximal":[99],"minimal":[101],"probabilities":[103],"within":[104],"parity-related":[105],"state":[106],"families.":[107],"Furthermore,":[108],"prove":[110],"even-fold":[112],"circular":[114],"cannot":[116],"exhibit":[117],"violation":[119],"due":[120],"their":[122,135],"definite":[123],"parity.":[124],"These":[125],"results":[126],"reveal":[127],"how":[128],"geometric":[129],"symmetries":[130],"Gaussian-state":[132],"determine":[134],"nonclassical":[136],"behavior":[137],"provide":[139],"symmetry-based":[141],"framework":[142],"for":[143],"probing":[144],"systems.":[148]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-08-25T00:00:00"}
