{"id":"https://openalex.org/W4404317979","doi":"https://doi.org/10.4230/lipics.icalp.2026.154","title":"Sample-Optimal Quantum Estimators for Pure-State Trace Distance and Fidelity via Samplizer","display_name":"Sample-Optimal Quantum Estimators for Pure-State Trace Distance and Fidelity via Samplizer","publication_year":2024,"publication_date":"2024-10-28","ids":{"openalex":"https://openalex.org/W4404317979","doi":"https://doi.org/10.4230/lipics.icalp.2026.154"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2410.21201","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.21201","pdf_url":"https://arxiv.org/pdf/2410.21201","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2410.21201","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100393529","display_name":"Qisheng Wang","orcid":"https://orcid.org/0000-0001-5107-8279"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang, Qisheng","raw_affiliation_strings":["School of Computer Science, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0001-5107-8279","affiliations":[{"raw_affiliation_string":"School of Computer Science, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042471683","display_name":"Zhicheng Zhang","orcid":"https://orcid.org/0000-0002-7436-0426"},"institutions":[{"id":"https://openalex.org/I11701301","display_name":"Griffith University","ror":"https://ror.org/02sc3r913","country_code":"AU","type":"education","lineage":["https://openalex.org/I11701301"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Zhang, Zhicheng","raw_affiliation_strings":["School of Information and Communication Technology, Griffith University, Brisbane, Australia"],"raw_orcid":"https://orcid.org/0000-0002-7436-0426","affiliations":[{"raw_affiliation_string":"School of Information and Communication Technology, Griffith University, Brisbane, Australia","institution_ids":["https://openalex.org/I11701301"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9959999918937683,"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":0.9959999918937683,"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":0.993399977684021,"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":0.9739000201225281,"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/estimator","display_name":"Estimator","score":0.8260939121246338},{"id":"https://openalex.org/keywords/trace","display_name":"TRACE (psycholinguistics)","score":0.7359216213226318},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.708954393863678},{"id":"https://openalex.org/keywords/trace-distance","display_name":"Trace distance","score":0.6668413877487183},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.5151206851005554},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.444828063249588},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.44319960474967957},{"id":"https://openalex.org/keywords/high-fidelity","display_name":"High fidelity","score":0.4344472587108612},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41089892387390137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4066677689552307},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38190099596977234},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3416895866394043},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.3374250531196594},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.20314469933509827},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14030712842941284},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.13639143109321594},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06989434361457825}],"concepts":[{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.8260939121246338},{"id":"https://openalex.org/C75291252","wikidata":"https://www.wikidata.org/wiki/Q1315756","display_name":"TRACE (psycholinguistics)","level":2,"score":0.7359216213226318},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.708954393863678},{"id":"https://openalex.org/C105063144","wikidata":"https://www.wikidata.org/wiki/Q7831154","display_name":"Trace distance","level":4,"score":0.6668413877487183},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.5151206851005554},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.444828063249588},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.44319960474967957},{"id":"https://openalex.org/C113364801","wikidata":"https://www.wikidata.org/wiki/Q26674","display_name":"High fidelity","level":2,"score":0.4344472587108612},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41089892387390137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4066677689552307},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38190099596977234},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3416895866394043},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3374250531196594},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.20314469933509827},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14030712842941284},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.13639143109321594},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06989434361457825},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:arXiv.org:2410.21201","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.21201","pdf_url":"https://arxiv.org/pdf/2410.21201","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:arXiv.org:2410.21201","is_oa":true,"landing_page_url":"https://arxiv.org/abs/2410.21201","pdf_url":"https://arxiv.org/pdf/2410.21201","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:drops-oai.dagstuhl.de:26543","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2026.154","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol374-icalp2026/LIPIcs.ICALP.2026.154/LIPIcs.ICALP.2026.154.pdf","source":{"id":"https://openalex.org/S4306402524","display_name":"Leibniz-Zentrum f\u00fcr Informatik (Schloss Dagstuhl)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"InProceedings"},{"id":"doi:10.48550/arxiv.2410.21201","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2410.21201","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"},{"id":"doi:10.4230/lipics.icalp.2026.154","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.icalp.2026.154","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"ConferencePaper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2410.21201","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2410.21201","pdf_url":"https://arxiv.org/pdf/2410.21201","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8995634083","display_name":null,"funder_award_id":"EP/X026167/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404317979.pdf","grobid_xml":"https://content.openalex.org/works/W4404317979.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4313443006","https://openalex.org/W1515451151","https://openalex.org/W2945374968","https://openalex.org/W4293777179","https://openalex.org/W4385452045","https://openalex.org/W2164070813","https://openalex.org/W2135608140","https://openalex.org/W2895525995","https://openalex.org/W2332512904","https://openalex.org/W4224231624"],"abstract_inverted_index":{"We":[0],"settle":[1],"the":[2,6,54,62,73,99,112,123],"problem":[3],"of":[4,64,72,75,122],"estimating":[5],"trace":[7],"distance":[8],"and":[9],"(square":[10],"root)":[11],"fidelity":[12],"between":[13],"$n$-qubit":[14],"pure":[15,87,129],"quantum":[16,46,92,116],"states":[17,130],"to":[18,98,108,134],"within":[19],"additive":[20],"error":[21],"$\\varepsilon$,":[22],"given":[23],"their":[24],"independent":[25],"samples,":[26],"which":[27,90],"was":[28],"raised":[29],"as":[30],"an":[31,83],"open":[32],"question":[33],"by":[34,44,82],"Wang":[35],"(IEEE":[36],"Trans.":[37],"Inf.":[38],"Theory":[39],"2024).":[40],"This":[41,79,126],"is":[42,67,80,131],"achieved":[43],"a":[45,68,109],"algorithm":[47,66,94,118],"with":[48,57],"optimal":[49],"sample":[50,58,117],"complexity":[51,59],"$\u0398(1/\\varepsilon^2)$,":[52],"improving":[53],"long-standing":[55],"folklore":[56],"$O(1/\\varepsilon^4)$.":[60],"At":[61],"heart":[63],"our":[65],"samplized":[69],"phase":[70],"estimation":[71],"product":[74],"two":[76],"Householder":[77],"reflections.":[78],"realized":[81],"improved":[84],"(multi-)samplizer":[85],"for":[86,128],"states,":[88],"through":[89],"any":[91],"query":[93],"using":[95,119],"$Q$":[96],"queries":[97],"reflection":[100],"operator":[101],"$I":[102],"-":[103],"2|\u03c8\\rangle\\!\\langle\u03c8|$":[104],"can":[105],"be":[106,135],"converted":[107],"$\u03b4$-close":[110],"(in":[111],"diamond":[113],"norm":[114],"distance)":[115],"$\u0398(Q^2/\u03b4)$":[120],"samples":[121],"state":[124],"$|\u03c8\\rangle$.":[125],"samplizer":[127],"also":[132],"shown":[133],"optimal.":[136]},"counts_by_year":[],"updated_date":"2026-07-18T07:39:51.176621","created_date":"2024-11-14T00:00:00"}
