{"id":"https://openalex.org/W7225757701","doi":"https://doi.org/10.5281/zenodo.24121835","title":"Beyond Two Queries: A Sharp Robustness Constant and a Three-Query Qubit\u2013Qutrit Separation for Centrally Symmetric Quantum Correlations","display_name":"Beyond Two Queries: A Sharp Robustness Constant and a Three-Query Qubit\u2013Qutrit Separation for Centrally Symmetric Quantum Correlations","publication_year":2026,"publication_date":"2026-11-11","ids":{"openalex":"https://openalex.org/W7225757701","doi":"https://doi.org/10.5281/zenodo.24121835"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24121835","doi":"https://doi.org/10.5281/zenodo.24121835","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24121835","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24121835","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5150299035","display_name":"Vasily Psykovsky","orcid":"https://orcid.org/0009-0008-0416-1377","observed_orcids":["https://orcid.org/0009-0008-0416-1377"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Psykovsky, Vasily","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0008-0416-1377","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5150299035"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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":0.5601000189781189,"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":0.5601000189781189,"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":0.3788999915122986,"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":0.035999998450279236,"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":[],"concepts":[{"id":"https://openalex.org/C56085360","wikidata":"https://www.wikidata.org/wiki/Q2300171","display_name":"Qutrit","level":4,"score":0.808899998664856},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6797000169754028},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.6660000085830688},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.48489999771118164},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.4262999892234802},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.3953999876976013},{"id":"https://openalex.org/C64999384","wikidata":"https://www.wikidata.org/wiki/Q3507967","display_name":"Symmetrization","level":2,"score":0.39489999413490295},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3837999999523163},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.38370001316070557},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.3833000063896179},{"id":"https://openalex.org/C43169469","wikidata":"https://www.wikidata.org/wiki/Q580922","display_name":"Preprint","level":2,"score":0.36010000109672546},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3472999930381775},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.34299999475479126},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.3391999900341034},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32339999079704285},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.31310001015663147},{"id":"https://openalex.org/C2776865275","wikidata":"https://www.wikidata.org/wiki/Q311666","display_name":"Projector","level":2,"score":0.31279999017715454},{"id":"https://openalex.org/C38976095","wikidata":"https://www.wikidata.org/wiki/Q752641","display_name":"Asymmetry","level":2,"score":0.30300000309944153},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.3003999888896942},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2912999987602234},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.28679999709129333},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.2766000032424927},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2689000070095062},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.2549000084400177},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.2547000050544739}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24121835","doi":"https://doi.org/10.5281/zenodo.24121835","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24121835","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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"},{"id":"doi:10.5281/zenodo.24121836","doi":"https://doi.org/10.5281/zenodo.24121836","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24121836","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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:10.5281/zenodo.24121835","doi":"https://doi.org/10.5281/zenodo.24121835","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24121835","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1595553845","https://openalex.org/W1996952633","https://openalex.org/W2070059557","https://openalex.org/W2422399034","https://openalex.org/W7140769110","https://openalex.org/W7225610123"],"related_works":[],"abstract_inverted_index":{"Companion":[0],"to":[1,87,191],"the":[2,78,81,172,198,212,224,230,271,277],"preprint":[3,213],"\u201cA":[4],"Qubit\u2013Qutrit":[5],"Equivalence":[6],"for":[7,17,276],"Centrally":[8],"Symmetric":[9],"Two-Query":[10],"Quantum":[11],"Correlations\u201d":[12],"(doi:10.5281/zenodo.24093433),":[13],"which":[14,109],"proved":[15,86],"that":[16],"two":[18,42,158],"fixed":[19],"binary":[20,100],"measurements":[21,101,123],"without":[22],"shared":[23],"randomness,":[24],"a":[25,31,53,56,62,103,148,216,240],"qutrit":[26,54,122,162,174],"is":[27,85,147,164,177,188],"never":[28],"better":[29],"than":[30,142],"qubit":[32,64,97,137],"at":[33,70],"reproducing":[34],"centrally":[35,127],"symmetric":[36,48,128],"target":[37],"tables.":[38],"This":[39,146],"note":[40],"settles":[41],"questions":[43],"left":[44],"open":[45],"there.":[46],"Approximately":[47],"targets":[49],"(two":[50],"queries).":[51],"If":[52],"fits":[55,66],"table":[57,129],"with":[58,68,131,220,264],"worst-cell":[59,139,169],"error":[60,69,140],"\u03b5\u2083,":[61],"sharp":[63],"pair":[65],"it":[67],"most":[71],"\u03b5\u2083":[72],"+":[73],"\u03b4/2,":[74],"where":[75],"\u03b4":[76],"measures":[77],"asymmetry":[79],"of":[80,99,120,185,201],"table.":[82],"The":[83,93,161],"constant":[84],"be":[88],"best":[89,173],"possible.":[90],"Three":[91],"queries.":[92],"equivalence":[94],"fails.":[95],"Every":[96],"triple":[98,119],"satisfies":[102],"simple":[104],"inequality":[105],"I":[106,132],"\u2264":[107],"9,":[108],"follows":[110],"from":[111],"an":[112,125,227],"identity":[113],"on":[114,144,152],"3\u00d73":[115],"correlation":[116],"matrices.":[117],"A":[118,181,259],"projective":[121],"reproduces":[124],"eight-point":[126],"exactly":[130],"\u2265":[133],"9.0505,":[134],"so":[135],"every":[136],"needs":[138],"larger":[141],"9.7\u00d710\u207b\u2074":[143],"it.":[145],"computer-assisted":[149],"proof":[150],"based":[151],"exact":[153,222],"rational":[154],"certificates,":[155,223],"checked":[156],"by":[157],"independent":[159,228],"programs.":[160],"advantage":[163],"small:":[165],"about":[166,253],"10\u207b\u00b3":[167],"in":[168],"error.":[170],"Numerically,":[171],"value":[175],"found":[176],"I*":[178,202],"=":[179],"9.0507284088558548\u2026.":[180],"candidate":[182],"minimal":[183],"polynomial":[184],"degree":[186],"13":[187],"reported,":[189],"confirmed":[190],"3000":[192],"digits.":[193],"Its":[194],"symbolic":[195],"derivation":[196],"and":[197,205,215,236,239,269],"global":[199],"optimality":[200],"remain":[203],"open,":[204],"are":[206],"labelled":[207],"as":[208],"numerical":[209],"findings.":[210],"Files:":[211],"(PDF),":[214],"reproducibility":[217],"archive":[218],"(ZIP)":[219],"all":[221],"original":[225],"scripts,":[226],"audit,":[229],"full":[231,274],"research":[232],"record":[233],"including":[234],"failed":[235],"superseded":[237],"runs,":[238],"SHA-256":[241],"manifest.":[242],"Quick":[243],"check":[244],"after":[245],"unpacking:":[246],"python3":[247],"-I":[248],"audit/verify_certificates.py":[249],".":[250],"(pure":[251],"Python,":[252],"1":[254],"s).":[255],"Not":[256],"peer":[257],"reviewed.":[258],"large":[260],"language":[261],"model":[262],"assisted":[263],"derivations,":[265],"computations,":[266],"certificate":[267],"scripts":[268],"drafting;":[270],"author":[272],"takes":[273],"responsibility":[275],"content.":[278]},"counts_by_year":[],"updated_date":"2026-11-11T12:16:26.678958","created_date":"2026-11-11T00:00:00"}
