{"id":"https://openalex.org/W7163556303","doi":"https://doi.org/10.48550/arxiv.2606.05099","title":"Quantum Time Lower Bounds by Permutation Invariance","display_name":"Quantum Time Lower Bounds by Permutation Invariance","publication_year":2026,"publication_date":"2026-06-03","ids":{"openalex":"https://openalex.org/W7163556303","doi":"https://doi.org/10.48550/arxiv.2606.05099"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.05099","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.05099","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":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.05099","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5137845475","display_name":"Qisheng Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wang, Qisheng","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5137845475"],"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":0.9021000266075134,"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":0.9021000266075134,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.06679999828338623,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12072","display_name":"Machine Learning and Algorithms","score":0.004000000189989805,"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/quantum","display_name":"Quantum","score":0.5620999932289124},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.5601000189781189},{"id":"https://openalex.org/keywords/quantum-operation","display_name":"Quantum operation","score":0.5512999892234802},{"id":"https://openalex.org/keywords/multipartite","display_name":"Multipartite","score":0.5060999989509583},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.46880000829696655},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.45249998569488525},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.41440001130104065},{"id":"https://openalex.org/keywords/quantum-process","display_name":"Quantum process","score":0.4011000096797943},{"id":"https://openalex.org/keywords/quantum-capacity","display_name":"Quantum capacity","score":0.38179999589920044}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6538000106811523},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5620999932289124},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.5601000189781189},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.5512999892234802},{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.5060999989509583},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.46880000829696655},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.45249998569488525},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.41440001130104065},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.4011000096797943},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.38179999589920044},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3700999915599823},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.362199991941452},{"id":"https://openalex.org/C92043244","wikidata":"https://www.wikidata.org/wiki/Q7269023","display_name":"Quantum complexity theory","level":4,"score":0.32839998602867126},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.32749998569488525},{"id":"https://openalex.org/C179957908","wikidata":"https://www.wikidata.org/wiki/Q907206","display_name":"POVM","level":5,"score":0.3264000117778778},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.319599986076355},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.3190000057220459},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31869998574256897},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.3149999976158142},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.304500013589859},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.30149999260902405},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.2987000048160553},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.2815999984741211},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.27070000767707825},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.26910001039505005},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.26010000705718994},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.25189998745918274}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.05099","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.05099","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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.05099","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.05099","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":"Preprint"},"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":{"Tight":[0],"bounds":[1,22,45,75,236],"on":[2,23,46,237],"quantum":[3,7,24,31,48,56,62,83,238],"sample":[4,63,78],"complexity":[5,9,26,50],"and":[6,95,109,125,150,165,187,206,211],"query":[8],"have":[10],"been":[11],"known":[12],"for":[13,51,143,196,202],"various":[14],"computational":[15],"problems":[16],"in":[17],"the":[18,28,47,81,106,110,135,174,218,225],"literature,":[19],"whereas":[20],"tight":[21,234],"time":[25,49,239],"(i.e.,":[27],"size":[29],"of":[30,55,72,220],"circuits)":[32],"remain":[33],"unresolved.":[34],"In":[35],"this":[36,223],"paper,":[37],"we":[38,68],"provide":[39],"a":[40,59,70,178],"framework":[41],"to":[42,80,91,104,119,133,148,162,172,185,209,231],"establish":[43,233],"lower":[44,74,235],"testing":[52],"permutation-invariant":[53],"properties":[54],"states,":[57,84],"via":[58],"reduction":[60],"from":[61],"complexity.":[64,240],"As":[65],"an":[66],"application,":[67],"obtain":[69],"series":[71],"matching":[73],"when":[76],"given":[77],"access":[79],"input":[82],"including:":[85],"1.":[86],"The":[87,115,140,158,182,200],"SWAP":[88],"test":[89,117],"due":[90,118,147,161,184,208],"Buhrman,":[92],"Cleve,":[93],"Watrous,":[94],"de":[96],"Wolf":[97],"(Phys.":[98,127],"Rev.":[99,128],"Lett.":[100,129],"2001)":[101],"is":[102,131,155,170,194,215,224],"time-optimal":[103,132,171,195],"estimate":[105,134],"purity":[107],"$\\operatorname{tr}(\u03c1^2)$":[108],"inner":[111],"product":[112],"$\\operatorname{tr}(\u03c1\u03c3)$.":[113],"2.":[114],"Shift":[116],"Ekert,":[120],"Alves,":[121],"Oi,":[122],"Horodecki,":[123,124],"Kwek":[126],"2002)":[130],"high-order":[136],"functionals":[137],"$\\operatorname{tr}(\u03c1^k)$.":[138],"3.":[139],"productness":[141],"tester":[142],"multipartite":[144],"pure":[145,179,197],"states":[146],"Harrow":[149],"Montanaro":[151],"(J.":[152],"ACM":[153],"2013)":[154],"time-optimal.":[156,216],"4.":[157],"LMR":[159],"protocol":[160],"Lloyd,":[163],"Mohseni,":[164],"Rebentrost":[166],"(Nat.":[167],"Phys.":[168],"2014)":[169],"implement":[173],"reflection":[175],"operator":[176],"about":[177],"state.":[180],"5.":[181],"samplizer":[183],"Wang":[186,210],"Zhang":[188,212],"(IEEE":[189],"Trans.":[190],"Inf.":[191],"Theory":[192],"2025)":[193],"states.":[198],"6.":[199],"estimator":[201],"pure-state":[203],"trace":[204],"distance":[205],"fidelity":[207],"(ICALP":[213],"2026)":[214],"To":[217],"best":[219],"our":[221],"knowledge,":[222],"first":[226],"method":[227],"that":[228],"allows":[229],"us":[230],"systematically":[232]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-06-05T00:00:00"}
