{"id":"https://openalex.org/W4388442217","doi":"https://doi.org/10.1142/s1230161223500142","title":"Wave Matrix Lindbladization II: General Lindbladians, Linear Combinations, and Polynomials","display_name":"Wave Matrix Lindbladization II: General Lindbladians, Linear Combinations, and Polynomials","publication_year":2023,"publication_date":"2023-09-01","ids":{"openalex":"https://openalex.org/W4388442217","doi":"https://doi.org/10.1142/s1230161223500142"},"language":"en","primary_location":{"id":"doi:10.1142/s1230161223500142","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161223500142","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems & Information Dynamics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048464912","display_name":"Dhrumil Patel","orcid":"https://orcid.org/0000-0003-2433-0314"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dhrumil Patel","raw_affiliation_strings":["Department of Computer Science, Cornell University, Ithaca, New York, 14850, USA","Department of Computer Science, Cornell University, Ithaca, New York, 14850, USA,"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Cornell University, Ithaca, New York, 14850, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"Department of Computer Science, Cornell University, Ithaca, New York, 14850, USA,","institution_ids":["https://openalex.org/I205783295"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037632925","display_name":"Mark M. Wilde","orcid":"https://orcid.org/0000-0002-3916-4462"},"institutions":[{"id":"https://openalex.org/I205783295","display_name":"Cornell University","ror":"https://ror.org/05bnh6r87","country_code":"US","type":"education","lineage":["https://openalex.org/I205783295"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mark M. Wilde","raw_affiliation_strings":["School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, USA","School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, USA,"],"affiliations":[{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, USA","institution_ids":["https://openalex.org/I205783295"]},{"raw_affiliation_string":"School of Electrical and Computer Engineering, Cornell University, Ithaca, New York 14850, USA,","institution_ids":["https://openalex.org/I205783295"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037632925"],"corresponding_institution_ids":["https://openalex.org/I205783295"],"apc_list":null,"apc_paid":null,"fwci":2.0979,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.89858244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"30","issue":"03","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":0.9997000098228455,"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":0.9997000098228455,"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":0.998199999332428,"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":0.9965000152587891,"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/operator","display_name":"Operator (biology)","score":0.588668167591095},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5387540459632874},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.48155978322029114},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4738462567329407},{"id":"https://openalex.org/keywords/lindblad-equation","display_name":"Lindblad equation","score":0.46949508786201477},{"id":"https://openalex.org/keywords/density-matrix","display_name":"Density matrix","score":0.43934327363967896},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4303123950958252},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4302127957344055},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.42746439576148987},{"id":"https://openalex.org/keywords/master-equation","display_name":"Master equation","score":0.3936704397201538},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36836087703704834},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32311350107192993},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2703573703765869},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2618570923805237},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16227629780769348},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.1540534496307373}],"concepts":[{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.588668167591095},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5387540459632874},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.48155978322029114},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4738462567329407},{"id":"https://openalex.org/C201540876","wikidata":"https://www.wikidata.org/wiki/Q4476520","display_name":"Lindblad equation","level":4,"score":0.46949508786201477},{"id":"https://openalex.org/C56911000","wikidata":"https://www.wikidata.org/wiki/Q831774","display_name":"Density matrix","level":3,"score":0.43934327363967896},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4303123950958252},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4302127957344055},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.42746439576148987},{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.3936704397201538},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36836087703704834},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32311350107192993},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2703573703765869},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2618570923805237},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16227629780769348},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.1540534496307373},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1230161223500142","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1230161223500142","pdf_url":null,"source":{"id":"https://openalex.org/S27332288","display_name":"Open Systems & Information Dynamics","issn_l":"1230-1612","issn":["1230-1612","1573-1324","1793-7191"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Open Systems & Information Dynamics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1496007615","https://openalex.org/W1581324086","https://openalex.org/W1796257517","https://openalex.org/W1988369744","https://openalex.org/W1994716414","https://openalex.org/W2015683881","https://openalex.org/W2018239548","https://openalex.org/W2019442644","https://openalex.org/W2027561650","https://openalex.org/W2032839191","https://openalex.org/W2040792108","https://openalex.org/W2057368709","https://openalex.org/W2077299266","https://openalex.org/W2084864304","https://openalex.org/W2094931830","https://openalex.org/W2097174474","https://openalex.org/W2099265531","https://openalex.org/W2105211531","https://openalex.org/W2121981260","https://openalex.org/W2159566537","https://openalex.org/W2170608991","https://openalex.org/W2221953609","https://openalex.org/W2288253938","https://openalex.org/W2415656260","https://openalex.org/W2600825956","https://openalex.org/W2901677314","https://openalex.org/W2914612129","https://openalex.org/W2953096107","https://openalex.org/W2964257079","https://openalex.org/W3100174796","https://openalex.org/W3103430780","https://openalex.org/W3156581824","https://openalex.org/W4200283578","https://openalex.org/W4210608556","https://openalex.org/W4233667137","https://openalex.org/W4242904825","https://openalex.org/W4250067307","https://openalex.org/W4256172841","https://openalex.org/W4282959633","https://openalex.org/W4297944615","https://openalex.org/W4313366897","https://openalex.org/W4377010173","https://openalex.org/W4384567624"],"related_works":["https://openalex.org/W2043932830","https://openalex.org/W2036558980","https://openalex.org/W4221148971","https://openalex.org/W2146986312","https://openalex.org/W3120012765","https://openalex.org/W4297634153","https://openalex.org/W4312045537","https://openalex.org/W2884859190","https://openalex.org/W1983487150","https://openalex.org/W2048550131"],"abstract_inverted_index":{"In":[0,19],"this":[1],"paper,":[2],"we":[3,33,52,78,98,160],"investigate":[4,141],"the":[5,14,69,86,100,124,128,146,184,192,195,198],"problem":[6],"of":[7,67,71,89,123,148,178,194,201],"simulating":[8,62,103,171],"open":[9],"system":[10,70],"dynamics":[11],"governed":[12],"by":[13,65,181],"well-known":[15],"Lindblad":[16,40,92,112],"master":[17],"equation.":[18],"our":[20,163],"prequel":[21],"paper":[22],"[Patel":[23],"and":[24,51,94,106,139],"Wilde,":[25],"Open":[26],"Sys.":[27],"&":[28],"Info.":[29],"Dyn.,":[30],"30:2350010":[31],"(2023)],":[32],"introduced":[34,54],"an":[35,167],"input":[36],"model":[37],"in":[38,84,109],"which":[39,85,110],"operators":[41,125],"are":[42],"encoded":[43,126,179],"into":[44,127],"pure":[45],"quantum":[46,133,164],"states,":[47,50],"called":[48,57],"program":[49,75,129,149],"also":[53,140],"a":[55,81,95,111,117,121,154],"method,":[56],"wave":[58,202],"matrix":[59,203],"Lindbladization,":[60],"for":[61,135,170,187],"Lindbladian":[63,87,156,172],"evolution":[64,157,173],"means":[66],"interacting":[68],"interest":[72],"with":[73],"these":[74,137],"states.":[76,130],"Therein,":[77],"focused":[79],"on":[80,191],"simple":[82],"case":[83],"consists":[88],"only":[90],"one":[91],"operator":[93,113],"Hamiltonian.":[96],"Here,":[97],"extend":[99],"method":[101],"to":[102,152,175],"general":[104],"Lindbladians":[105],"other":[107],"cases":[108,138],"is":[114,189,205],"expressed":[115],"as":[116],"linear":[118],"combination":[119],"or":[120],"polynomial":[122],"We":[131],"propose":[132],"algorithms":[134,165],"all":[136],"their":[142],"sample":[143,185,199],"complexity,":[144],"i.e.,":[145],"number":[147],"states":[150],"needed":[151],"simulate":[153],"given":[155],"approximately.":[158],"Finally,":[159],"demonstrate":[161],"that":[162,183],"provide":[166],"efficient":[168],"route":[169],"relative":[174],"full":[176],"tomography":[177,188],"operators,":[180],"proving":[182],"complexity":[186,200],"dependent":[190],"dimension":[193,206],"system,":[196],"whereas":[197],"Lindbladization":[204],"independent.":[207]},"counts_by_year":[{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-12-25T23:11:45.687758","created_date":"2025-10-10T00:00:00"}