{"id":"https://openalex.org/W4402524565","doi":"https://doi.org/10.1137/23m1598192","title":"Robust Iterative Method for Symmetric Quantum Signal Processing in All Parameter Regimes","display_name":"Robust Iterative Method for Symmetric Quantum Signal Processing in All Parameter Regimes","publication_year":2024,"publication_date":"2024-09-13","ids":{"openalex":"https://openalex.org/W4402524565","doi":"https://doi.org/10.1137/23m1598192"},"language":"en","primary_location":{"id":"doi:10.1137/23m1598192","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1598192","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://escholarship.org/content/qt62b6n72q/qt62b6n72q.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5106125262","display_name":"Yulong Dong","orcid":"https://orcid.org/0000-0003-0577-2475"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yulong Dong","raw_affiliation_strings":["Department of Mathematics, University of California, Berkeley, CA 94720 USA"],"raw_orcid":"https://orcid.org/0000-0003-0577-2475","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Berkeley, CA 94720 USA","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107195431","display_name":"Lin Lin","orcid":"https://orcid.org/0000-0001-6860-9566"},"institutions":[{"id":"https://openalex.org/I148283060","display_name":"Lawrence Berkeley National Laboratory","ror":"https://ror.org/02jbv0t02","country_code":"US","type":"facility","lineage":["https://openalex.org/I1330989302","https://openalex.org/I148283060","https://openalex.org/I39565521"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lin Lin","raw_affiliation_strings":["Department of Mathematics and Challenge Institute for Quantum Computation, University of California, Berkeley, and Applied Mathematics and Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720 USA"],"raw_orcid":"https://orcid.org/0000-0001-6860-9566","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Challenge Institute for Quantum Computation, University of California, Berkeley, and Applied Mathematics and Computational Research Division, Lawrence Berkeley National Laboratory, Berkeley, CA 94720 USA","institution_ids":["https://openalex.org/I148283060"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004310499","display_name":"Hongkang Ni","orcid":"https://orcid.org/0000-0002-7507-4755"},"institutions":[{"id":"https://openalex.org/I4210153325","display_name":"Institute of Mathematical Statistics","ror":"https://ror.org/043f04882","country_code":"US","type":"other","lineage":["https://openalex.org/I4210153325"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hongkang Ni","raw_affiliation_strings":["Institute for Computational and Mathematical Engineering (ICME), Stanford University, Stanford, CA 94305 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Computational and Mathematical Engineering (ICME), Stanford University, Stanford, CA 94305 USA","institution_ids":["https://openalex.org/I4210153325"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064948605","display_name":"Jiasu Wang","orcid":"https://orcid.org/0000-0002-1321-2649"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jiasu Wang","raw_affiliation_strings":["Department of Mathematics, University of California, Berkeley, CA 94720 USA"],"raw_orcid":"https://orcid.org/0000-0002-1321-2649","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California, Berkeley, CA 94720 USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1036,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89044181,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"46","issue":"5","first_page":"A2951","last_page":"A2971"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9986000061035156,"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":0.9986000061035156,"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":0.994700014591217,"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/T11447","display_name":"Blind Source Separation Techniques","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/mathematics","display_name":"Mathematics","score":0.7208352088928223},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.5130240321159363},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.48628485202789307},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.45416268706321716},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.44780290126800537},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.41379034519195557},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.356260746717453},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.2388538122177124},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18289867043495178},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15588164329528809},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13036894798278809}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7208352088928223},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.5130240321159363},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.48628485202789307},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.45416268706321716},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.44780290126800537},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.41379034519195557},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.356260746717453},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.2388538122177124},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18289867043495178},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15588164329528809},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13036894798278809},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/23m1598192","is_oa":false,"landing_page_url":"https://doi.org/10.1137/23m1598192","pdf_url":null,"source":{"id":"https://openalex.org/S165512578","display_name":"SIAM Journal on Scientific Computing","issn_l":"1064-8275","issn":["1064-8275","1095-7197"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Scientific Computing","raw_type":"journal-article"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt62b6n72q","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/62b6n72q","pdf_url":"https://escholarship.org/content/qt62b6n72q/qt62b6n72q.pdf","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"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":"SIAM Journal on Scientific Computing, vol 46, iss 5","raw_type":"article"},{"id":"pmh:oai:osti.gov:2502072","is_oa":true,"landing_page_url":"https://www.osti.gov/biblio/2502072","pdf_url":null,"source":{"id":"https://openalex.org/S4306402487","display_name":"OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I139351228","host_organization_name":"Office of Scientific and Technical Information","host_organization_lineage":["https://openalex.org/I139351228"],"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":null}],"best_oa_location":{"id":"pmh:oai:escholarship.org:ark:/13030/qt62b6n72q","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/62b6n72q","pdf_url":"https://escholarship.org/content/qt62b6n72q/qt62b6n72q.pdf","source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"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":"SIAM Journal on Scientific Computing, vol 46, iss 5","raw_type":"article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3077665131","display_name":"QLCI-CI: NSF Quantum Leap Challenge Institute for Present and Future Quantum Computing","funder_award_id":"2016245","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G394576491","display_name":null,"funder_award_id":"OMA-2016245","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G498139845","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G6558272803","display_name":null,"funder_award_id":"DE-AC02","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G6559803294","display_name":null,"funder_award_id":"DE-AC02-05CH1123","funder_id":"https://openalex.org/F4320337506","funder_display_name":"Advanced Scientific Computing Research"},{"id":"https://openalex.org/G7406122311","display_name":null,"funder_award_id":"AC02-05CH1123","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G7664691372","display_name":null,"funder_award_id":"DE-AC02-05CH1123","funder_id":"https://openalex.org/F4320332359","funder_display_name":"Office of Science"},{"id":"https://openalex.org/G7825954517","display_name":null,"funder_award_id":"DE-AC02-05CH1123","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"},{"id":"https://openalex.org/G969889393","display_name":null,"funder_award_id":"DE-AC02-","funder_id":"https://openalex.org/F4320306084","funder_display_name":"U.S. Department of Energy"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320332359","display_name":"Office of Science","ror":"https://ror.org/00mmn6b08"},{"id":"https://openalex.org/F4320337506","display_name":"Advanced Scientific Computing Research","ror":"https://ror.org/0012c7r22"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4402524565.pdf"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1993482030","https://openalex.org/W2415656260","https://openalex.org/W2535738892","https://openalex.org/W2775106578","https://openalex.org/W2809863118","https://openalex.org/W3007060332","https://openalex.org/W3033436415","https://openalex.org/W3098796089","https://openalex.org/W3098858679","https://openalex.org/W3101824094","https://openalex.org/W3103487277","https://openalex.org/W4200164985","https://openalex.org/W4280585166","https://openalex.org/W4293775970","https://openalex.org/W4304782780","https://openalex.org/W4306942262","https://openalex.org/W4308419231","https://openalex.org/W4308737251","https://openalex.org/W4313909202","https://openalex.org/W4327942886","https://openalex.org/W4390245860","https://openalex.org/W4400113450"],"related_works":["https://openalex.org/W1519977342","https://openalex.org/W2109867859","https://openalex.org/W3212144778","https://openalex.org/W1966320733","https://openalex.org/W2007758509","https://openalex.org/W2057289358","https://openalex.org/W2040941802","https://openalex.org/W2412311587","https://openalex.org/W4238207569","https://openalex.org/W2339251345"],"abstract_inverted_index":{"Here,":[0],"this":[1],"paper":[2],"addresses":[3],"the":[4,11,56,62,66,82,125,147,155,158,184,191,203],"problem":[5],"of":[6,13,38,127,152,157,176,195],"solving":[7,55,97],"nonlinear":[8,57],"systems":[9],"in":[10,40,60,77,202],"context":[12],"symmetric":[14,67,98,153,177],"quantum":[15,27],"signal":[16],"processing":[17],"(QSP),":[18],"a":[19,48,101,141,162,167,174],"powerful":[20],"technique":[21],"for":[22,53,100],"implementing":[23],"matrix":[24,148,160],"functions":[25],"on":[26,32],"computers.":[28],"Symmetric":[29],"QSP":[30,68,99,178],"focuses":[31],"representing":[33],"target":[34,104],"polynomials":[35],"as":[36],"products":[37],"matrices":[39],"SU(2)":[41],"that":[42],"possess":[43],"symmetry":[44],"properties.":[45],"We":[46],"present":[47],"novel":[49],"Newton\u2019s":[50],"method":[51,71],"tailored":[52],"efficiently":[54],"system":[58],"involved":[59],"determining":[61],"phase":[63],"factors":[64],"within":[65],"framework.":[69],"Our":[70],"demonstrates":[72],"rapid":[73],"and":[74,124,193],"robust":[75],"convergence":[76],"all":[78],"parameter":[79],"regimes,":[80],"including":[81],"challenging":[83],"scenario":[84],"with":[85,140],"ill-conditioned":[86,143],"Jacobian":[87,144,159],"matrices,":[88],"using":[89,179],"standard":[90],"double":[91],"precision":[92,119],"arithmetic":[93],"operations.":[94],"For":[95],"instance,":[96],"highly":[102,142],"oscillatory":[103],"function":[105,169],"\u03b1":[106,121,135],"cos(1000x)":[107],"(polynomial":[108],"degree":[109],"\u2248":[110],"1433)":[111],"takes":[112],"6":[113],"iterations":[114,128,133],"to":[115,117,131,166],"converge":[116],"machine":[118],"when":[120,134],"=":[122,136],"0.9,":[123],"number":[126],"only":[129],"increases":[130],"18":[132],"1":[137],"\u2013":[138],"10<sup>-9</sup>":[139],"matrix.":[145],"Leveraging":[146],"product":[149],"state":[150],"structure":[151],"QSP,":[154],"computation":[156],"incurs":[161],"computational":[163],"cost":[164],"comparable":[165],"single":[168],"evaluation.":[170],"Moreover,":[171],"we":[172],"introduce":[173],"reformulation":[175],"real-number":[180],"arithmetics,":[181],"further":[182],"enhancing":[183],"method\u2019s":[185],"efficiency.":[186],"Extensive":[187],"numerical":[188],"tests":[189],"validate":[190],"effectiveness":[192],"robustness":[194],"our":[196],"approach,":[197],"which":[198],"has":[199],"been":[200],"implemented":[201],"QSPPACK":[204],"software":[205],"package.":[206]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
