{"id":"https://openalex.org/W4411665651","doi":"https://doi.org/10.2478/qic-2025-0008","title":"Polynomial Complexity of Quantum Sample Tomography","display_name":"Polynomial Complexity of Quantum Sample Tomography","publication_year":2025,"publication_date":"2025-05-01","ids":{"openalex":"https://openalex.org/W4411665651","doi":"https://doi.org/10.2478/qic-2025-0008"},"language":"en","primary_location":{"id":"doi:10.2478/qic-2025-0008","is_oa":true,"landing_page_url":"https://doi.org/10.2478/qic-2025-0008","pdf_url":null,"source":{"id":"https://openalex.org/S41034432","display_name":"Quantum Information and Computation","issn_l":"1533-7146","issn":["1533-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322612","host_organization_name":"Rinton Press","host_organization_lineage":["https://openalex.org/P4310322612"],"host_organization_lineage_names":["Rinton Press"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information &amp; Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.2478/qic-2025-0008","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5016955493","display_name":"Kun Tang","orcid":"https://orcid.org/0000-0002-5444-186X"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Kun Tang","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University , Hangzhou , Zhejiang , China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University , Hangzhou , Zhejiang , China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108772619","display_name":"Lai Jun","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Lai","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University , Hangzhou , Zhejiang , China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University , Hangzhou , Zhejiang , China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5016955493"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08046652,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"2","first_page":"156","last_page":"174"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9975000023841858,"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":0.9975000023841858,"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":0.9865000247955322,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9617999792098999,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/tomography","display_name":"Tomography","score":0.5755283832550049},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5649094581604004},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.49145328998565674},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4880591630935669},{"id":"https://openalex.org/keywords/sample","display_name":"Sample (material)","score":0.4214918315410614},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.32765108346939087},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2644956111907959},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.19157257676124573},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1902833878993988},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.14541542530059814},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.056089162826538086}],"concepts":[{"id":"https://openalex.org/C163716698","wikidata":"https://www.wikidata.org/wiki/Q841267","display_name":"Tomography","level":2,"score":0.5755283832550049},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5649094581604004},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.49145328998565674},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4880591630935669},{"id":"https://openalex.org/C198531522","wikidata":"https://www.wikidata.org/wiki/Q485146","display_name":"Sample (material)","level":2,"score":0.4214918315410614},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32765108346939087},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2644956111907959},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19157257676124573},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1902833878993988},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.14541542530059814},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.056089162826538086}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.2478/qic-2025-0008","is_oa":true,"landing_page_url":"https://doi.org/10.2478/qic-2025-0008","pdf_url":null,"source":{"id":"https://openalex.org/S41034432","display_name":"Quantum Information and Computation","issn_l":"1533-7146","issn":["1533-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322612","host_organization_name":"Rinton Press","host_organization_lineage":["https://openalex.org/P4310322612"],"host_organization_lineage_names":["Rinton Press"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information &amp; Computation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.2478/qic-2025-0008","is_oa":true,"landing_page_url":"https://doi.org/10.2478/qic-2025-0008","pdf_url":null,"source":{"id":"https://openalex.org/S41034432","display_name":"Quantum Information and Computation","issn_l":"1533-7146","issn":["1533-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322612","host_organization_name":"Rinton Press","host_organization_lineage":["https://openalex.org/P4310322612"],"host_organization_lineage_names":["Rinton Press"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information &amp; Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1492999010","https://openalex.org/W1529624360","https://openalex.org/W2063368770","https://openalex.org/W2084019889","https://openalex.org/W2088658556","https://openalex.org/W2105463715","https://openalex.org/W2118492081","https://openalex.org/W2154196599","https://openalex.org/W2171253836","https://openalex.org/W2525015215","https://openalex.org/W2898121159","https://openalex.org/W2903058119","https://openalex.org/W2962708723","https://openalex.org/W2962819582","https://openalex.org/W2965325670","https://openalex.org/W2982169647","https://openalex.org/W3036863718","https://openalex.org/W3040455916","https://openalex.org/W3100009607","https://openalex.org/W3100894865","https://openalex.org/W3104481216","https://openalex.org/W3166090040","https://openalex.org/W3175318158","https://openalex.org/W3175690595","https://openalex.org/W3202840328","https://openalex.org/W3203366169","https://openalex.org/W4206245465","https://openalex.org/W4316652462","https://openalex.org/W4365509724","https://openalex.org/W4391406967","https://openalex.org/W4396694074","https://openalex.org/W4399391555"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1185300216","https://openalex.org/W2954163146","https://openalex.org/W1996835655","https://openalex.org/W2896057011","https://openalex.org/W4238675884","https://openalex.org/W2589817099","https://openalex.org/W3033465211","https://openalex.org/W2461963030","https://openalex.org/W1971600963"],"abstract_inverted_index":{"Abstract":[0],"Efficient":[1],"quantum":[2,8,12,45,93],"tomography":[3,14,47],"is":[4,34,89],"crucial":[5],"for":[6,21,36],"advancing":[7],"computing":[9],"technologies.":[10],"Traditional":[11],"state":[13],"requires":[15],"an":[16],"exponential":[17],"number":[18],"of":[19,86],"measurements":[20,54],"complete":[22],"reconstruction.":[23],"Therefore,":[24],"developing":[25],"methods":[26],"that":[27,44],"reduce":[28],"measurement":[29],"complexity":[30,79],"to":[31],"polynomial":[32,52],"scale":[33,53],"essential":[35],"practical":[37],"applications.":[38],"In":[39],"this":[40],"paper,":[41],"we":[42],"show":[43],"sample":[46],"can":[48],"be":[49],"accomplished":[50],"with":[51,58,73],"while":[55],"maintaining":[56],"accuracy":[57],"a":[59,64],"high":[60],"probability.":[61],"We":[62],"present":[63],"novel":[65],"approach":[66],"using":[67],"conditional":[68],"recurrent":[69],"neural":[70],"networks":[71],"(RNNs)":[72],"solid":[74],"theoretical":[75],"foundations":[76],"from":[77],"Rademacher":[78],"and":[80],"random":[81],"projection":[82],"theory.":[83],"The":[84],"effectiveness":[85],"our":[87],"method":[88],"validated":[90],"through":[91],"several":[92],"models.":[94]},"counts_by_year":[],"updated_date":"2025-11-25T14:43:58.451035","created_date":"2025-10-10T00:00:00"}
