{"id":"https://openalex.org/W4414300429","doi":"https://doi.org/10.1007/s00037-025-00273-8","title":"Quantum state testing beyond the polarizing regime and quantum triangular discrimination","display_name":"Quantum state testing beyond the polarizing regime and quantum triangular discrimination","publication_year":2025,"publication_date":"2025-09-17","ids":{"openalex":"https://openalex.org/W4414300429","doi":"https://doi.org/10.1007/s00037-025-00273-8"},"language":"lv","primary_location":{"id":"doi:10.1007/s00037-025-00273-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00037-025-00273-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00037-025-00273-8.pdf","source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00037-025-00273-8.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048280913","display_name":"Yupan Liu","orcid":"https://orcid.org/0000-0003-4799-0200"},"institutions":[{"id":"https://openalex.org/I60134161","display_name":"Nagoya University","ror":"https://ror.org/04chrp450","country_code":"JP","type":"education","lineage":["https://openalex.org/I60134161"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yupan Liu","raw_affiliation_strings":["Graduate School of Mathematics, Nagoya University,  Nagoya Aichi, 464-8602, Furocho, Chikusa-ku, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Nagoya University,  Nagoya Aichi, 464-8602, Furocho, Chikusa-ku, Japan","institution_ids":["https://openalex.org/I60134161"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5048280913"],"corresponding_institution_ids":["https://openalex.org/I60134161"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":1.9057,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.89323821,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"34","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9994999766349792,"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":0.9994999766349792,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9987000226974487,"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":0.9980000257492065,"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","display_name":"Quantum","score":0.6319000124931335},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.5170000195503235},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.505299985408783},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.414900004863739},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.4081999957561493},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.3905999958515167},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.3815000057220459},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.34360000491142273}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6319000124931335},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.5170000195503235},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.505299985408783},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4602000117301941},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.4542999863624573},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.414900004863739},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4081999957561493},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40459999442100525},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.3905999958515167},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3815000057220459},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.34360000491142273},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.3181000053882599},{"id":"https://openalex.org/C164886730","wikidata":"https://www.wikidata.org/wiki/Q7269054","display_name":"Quantum graph","level":3,"score":0.31119999289512634},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3109999895095825},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.30709999799728394},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.29809999465942383},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.28839999437332153},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2858999967575073},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.2858000099658966},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.2728999853134155},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.2630000114440918},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2597000002861023},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.25760000944137573},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.25119999051094055}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00037-025-00273-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00037-025-00273-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00037-025-00273-8.pdf","source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s00037-025-00273-8","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00037-025-00273-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00037-025-00273-8.pdf","source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4414300429.pdf","grobid_xml":"https://content.openalex.org/works/W4414300429.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W75022893","https://openalex.org/W85480495","https://openalex.org/W389490173","https://openalex.org/W1522202519","https://openalex.org/W1555499558","https://openalex.org/W1565361209","https://openalex.org/W1828812675","https://openalex.org/W1999502904","https://openalex.org/W2014687456","https://openalex.org/W2034306513","https://openalex.org/W2046546722","https://openalex.org/W2049225187","https://openalex.org/W2067440916","https://openalex.org/W2069170136","https://openalex.org/W2070688644","https://openalex.org/W2100827027","https://openalex.org/W2107398173","https://openalex.org/W2111166346","https://openalex.org/W2112639677","https://openalex.org/W2116560510","https://openalex.org/W2120279343","https://openalex.org/W2121981260","https://openalex.org/W2149197198","https://openalex.org/W2159902206","https://openalex.org/W2161327939","https://openalex.org/W2167346196","https://openalex.org/W2167595556","https://openalex.org/W2266502407","https://openalex.org/W2571271130","https://openalex.org/W2907199720","https://openalex.org/W2913788899","https://openalex.org/W2922946882","https://openalex.org/W2952170582","https://openalex.org/W2963498695","https://openalex.org/W2981480531","https://openalex.org/W2981825888","https://openalex.org/W2990837129","https://openalex.org/W3024696485","https://openalex.org/W3037687232","https://openalex.org/W3080260502","https://openalex.org/W3098258437","https://openalex.org/W3098540456","https://openalex.org/W3101305239","https://openalex.org/W3102910963","https://openalex.org/W3105981607","https://openalex.org/W3119350730","https://openalex.org/W3200389000","https://openalex.org/W4206841129","https://openalex.org/W4229706427","https://openalex.org/W4244969988","https://openalex.org/W4250131430","https://openalex.org/W4387250501","https://openalex.org/W4399860057","https://openalex.org/W4406141863"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"The":[1],"complexity":[2],"class":[3],"Quantum":[4,63],"Statistical":[5],"Zero-Knowledge":[6],"captures":[7],"computational":[8],"difficulties":[9],"of":[10,173,227,241],"the":[11,20,62,90,155,171,176,180,188,192,214,225,244,253,281],"time-bounded":[12,181],"quantum":[13,199,206,215,233,254],"state":[14],"testing":[15,183],"problem":[16,257,283],"with":[17,185,272],"respect":[18,186],"to":[19,142,154,187,219,230],"trace":[21],"distance,":[22],"deciding":[23],"whether":[24,213],"$$\\textrm{T}(\\rho_0,\\rho_1)$$":[25],"<mml:math":[26,47,55,75,100,116,132],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[27,48,56,76,101,117,133],"<mml:mrow>":[28,77,102,118,134],"<mml:mtext>T</mml:mtext>":[29],"<mml:mo>(</mml:mo>":[30],"<mml:msub>":[31,36],"<mml:mi>\u03c1</mml:mi>":[32,37],"<mml:mn>0</mml:mn>":[33],"</mml:msub>":[34,39],"<mml:mo>,</mml:mo>":[35,81],"<mml:mn>1</mml:mn>":[38],"<mml:mo>)</mml:mo>":[40],"</mml:mrow>":[41,84,108,125,138],"</mml:math>":[42,50,58,85,109,126,139],"is":[43,86,277,286],"at":[44,52],"least":[45],"$$\\alpha$$":[46],"<mml:mi>\u03b1</mml:mi>":[49,80,103,120,135],"or":[51],"most":[53],"$$\\beta$$":[54],"<mml:mi>\u03b2</mml:mi>":[57,82,107,124,137],",":[59,279],"known":[60],"as":[61],"State":[64],"Distinguishability":[65],"Problem":[66],"(QSDP)":[67],"introduced":[68],"by":[69,147,204,260],"Watrous":[70],"(FOCS":[71],"2002).":[72],"However,":[73],"$$\\textrm{QSDP}[\\alpha,\\beta]$$":[74],"<mml:mtext>QSDP</mml:mtext>":[78],"<mml:mo>[</mml:mo>":[79],"<mml:mo>]</mml:mo>":[83],"in":[87,278,287],"only":[88],"within":[89],"constant":[91],"polarizing":[92,177,245],"regime,":[93],"where":[94],"$$\\alpha":[95,129],"\\,":[96,98],"\\textrm{and}":[97],"\\beta$$":[99,115,131],"<mml:mspace/>":[104,106],"<mml:mtext>and</mml:mtext>":[105],"are":[110],"constants":[111],"satisfying":[112],"$$\\alpha^2":[113],"&gt;":[114,130],"<mml:msup>":[119],"<mml:mn>2</mml:mn>":[121],"</mml:msup>":[122],"<mml:mo>&gt;</mml:mo>":[123,136],"(rather":[127],"than":[128],"),":[140],"similar":[141],"its":[143],"classical":[144,221],"counterpart":[145],"shown":[146],"Sahai":[148],"and":[149,166,191,223,247,263],"Vadhan":[150],"(JACM":[151],"2003)":[152],"due":[153],"polarization":[156,231],"lemma":[157],"(error":[158],"reduction":[159],"for":[160,201,208,252],"SDP).":[161],"Recently,":[162],"Berman,":[163],"Degwekar,":[164],"Rothblum,":[165],"Vasudevan":[167],"(TCC":[168],"2019)":[169],"extended":[170],"containment":[172],"SDP":[174],"beyond":[175,243],"regime":[178,246],"via":[179],"distribution":[182],"problems":[184,203,238],"triangular":[189,209],"discrimination":[190],"Jensen-Shannon":[193],"divergence.":[194],"Our":[195],"work":[196],"introduces":[197],"proper":[198],"analogs":[200,216],"these":[202],"defining":[205],"counterparts":[207,222],"discrimination.":[210],"We":[211],"investigate":[212],"behave":[217],"similarly":[218],"their":[220],"examine":[224],"limitations":[226],"existing":[228],"approaches":[229],"regarding":[232],"distances.":[234],"These":[235],"new":[236],"-complete":[237],"improve":[239],"containments":[240],"QSDP":[242,271],"establish":[248],"a":[249],"simple":[250],"-hardness":[251],"entropy":[255],"difference":[256],"(QEDP)":[258],"defined":[259],"Ben-Aroya,":[261],"Schwartz,":[262],"Ta-Shma":[264],"(ToC":[265],"2010).":[266],"Furthermore,":[267],"we":[268],"prove":[269],"that":[270],"some":[273],"exponentially":[274],"small":[275],"errors":[276],"while":[280],"same":[282],"without":[284],"error":[285],".":[288]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}