{"id":"https://openalex.org/W7153300111","doi":"https://doi.org/10.48550/arxiv.2604.07460","title":"Optimal Quantum State Testing Even with Limited Entanglement","display_name":"Optimal Quantum State Testing Even with Limited Entanglement","publication_year":2026,"publication_date":"2026-04-08","ids":{"openalex":"https://openalex.org/W7153300111","doi":"https://doi.org/10.48550/arxiv.2604.07460"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.07460","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.07460","pdf_url":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.07460","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039605151","display_name":"Chirag Wadhwa","orcid":"https://orcid.org/0000-0002-4711-3534"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wadhwa, Chirag","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5133380955","display_name":"Sitan Chen","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen, Sitan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":[],"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.6306999921798706,"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":0.6306999921798706,"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":0.26930001378059387,"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":0.04170000180602074,"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/quantum-entanglement","display_name":"Quantum entanglement","score":0.6855000257492065},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5065000057220459},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49320000410079956},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.4465999901294708},{"id":"https://openalex.org/keywords/leverage","display_name":"Leverage (statistics)","score":0.4431999921798706},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4316999912261963},{"id":"https://openalex.org/keywords/quantum-tomography","display_name":"Quantum tomography","score":0.3774000108242035},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.3386000096797943}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6855000257492065},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5065000057220459},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49320000410079956},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4846999943256378},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.4465999901294708},{"id":"https://openalex.org/C153083717","wikidata":"https://www.wikidata.org/wiki/Q6535263","display_name":"Leverage (statistics)","level":2,"score":0.4431999921798706},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4316999912261963},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4043000042438507},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38830000162124634},{"id":"https://openalex.org/C166834278","wikidata":"https://www.wikidata.org/wiki/Q4218494","display_name":"Quantum tomography","level":4,"score":0.3774000108242035},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3386000096797943},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.337799996137619},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.335099995136261},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.33239999413490295},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.328000009059906},{"id":"https://openalex.org/C2780451532","wikidata":"https://www.wikidata.org/wiki/Q759676","display_name":"Task (project management)","level":2,"score":0.31380000710487366},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.30790001153945923},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.3070000112056732},{"id":"https://openalex.org/C46304622","wikidata":"https://www.wikidata.org/wiki/Q374814","display_name":"Certification","level":2,"score":0.3068000078201294},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.295199990272522},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.27459999918937683},{"id":"https://openalex.org/C20593774","wikidata":"https://www.wikidata.org/wiki/Q7958522","display_name":"W state","level":4,"score":0.2741999924182892},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.26489999890327454},{"id":"https://openalex.org/C19271316","wikidata":"https://www.wikidata.org/wiki/Q7092353","display_name":"One-way quantum computer","level":5,"score":0.2644999921321869},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.2630000114440918}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.07460","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.07460","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.07460","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.07460","pdf_url":null,"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0,175],"this":[1,52,75,183],"work,":[2],"we":[3,86],"consider":[4],"the":[5,49,133,142,176,189,193,207,220,282],"fundamental":[6],"task":[7],"of":[8,14,39,62,164,210],"quantum":[9,17,95,130,248],"state":[10,18,26,96,131,159,249],"certification:":[11],"given":[12],"copies":[13,38,61,108,272],"an":[15],"unknown":[16],"$\u03c1$,":[19],"test":[20],"whether":[21,88],"it":[22,119],"matches":[23],"some":[24,112],"target":[25],"$\u03c3$":[27],"or":[28],"is":[29,66,120,141,151,184],"$\u03b5$-far":[30],"from":[31,239],"it.":[32],"For":[33],"certifying":[34,69],"$d$-dimensional":[35],"states,":[36],"$\u0398(d/\u03b5^2)$":[37],"$\u03c1$":[40],"are":[41,234,273],"known":[42,136],"to":[43,71,123,127,137,202,241,275],"be":[44],"necessary":[45,274],"and":[46,98,213,216,243],"sufficient.":[47],"However,":[48],"algorithm":[50],"achieving":[51,219],"complexity":[53,155],"makes":[54,76],"fully":[55,145],"entangled":[56,146],"measurements":[57,79,105,267],"over":[58,188],"all":[59],"$O(d/\u03b5^2)$":[60],"$\u03c1$.":[63],"Often,":[64],"one":[65,89,143],"interested":[67],"in":[68,247,251,281],"states":[70],"a":[72,152,162,168,185,252],"high":[73],"precision;":[74],"such":[77],"joint":[78,266],"intractable":[80],"even":[81],"for":[82,94,111,158,180,206,223,279],"low-dimensional":[83],"states.":[84],"Thus,":[85],"study":[87],"can":[90],"obtain":[91],"optimal":[92,129,139,195,221,277],"rates":[93,222,278],"certification":[97,160,280],"related":[99,208],"testing":[100,140,212,240],"problems":[101,225],"while":[102],"only":[103,134],"performing":[104],"on":[106,236,268],"$t$":[107],"at":[109,171,226],"once,":[110],"$1":[113],"<":[114],"t":[115],"\\ll":[116],"d/\u03b5^2$.":[117],"While":[118],"well-understood":[121],"how":[122],"use":[124],"intermediate":[125],"entanglement":[126,190],"achieve":[128,138,276],"learning,":[132],"protocol":[135],"using":[144],"measurements.":[147],"Our":[148,232],"main":[149],"result":[150],"smooth":[153,261],"copy":[154],"upper":[156,258],"bound":[157],"as":[161,230],"function":[163],"$t$,":[165],"which":[166],"achieves":[167],"near-optimal":[169],"rate":[170],"$t":[172,227,269],"=":[173,228],"d^2$.":[174],"high-precision":[177,283],"regime,":[178],"i.e.,":[179],"$\u03b5<":[181],"\\frac{1}{\\sqrt{d}}$,":[182],"strict":[186],"improvement":[187],"used":[191],"by":[192],"aforementioned":[194],"protocol.":[196],"We":[197,255],"also":[198],"extend":[199],"our":[200,257],"techniques":[201],"develop":[203],"new":[204],"algorithms":[205,233],"tasks":[209],"mixedness":[211],"purity":[214],"estimation,":[215],"show":[217],"tradeoffs":[218],"these":[224],"d^2$":[229],"well.":[231],"based":[235],"novel":[237],"reductions":[238],"learning":[242],"leverage":[244],"recent":[245],"advances":[246],"tomography":[250],"non-black-box":[253],"fashion.":[254],"complement":[256],"bounds":[259,263],"with":[260],"lower":[262],"that":[264],"imply":[265],"\\geq":[270],"d^{\u03a9(1)}$":[271],"regime.":[284]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-04-11T00:00:00"}