{"id":"https://openalex.org/W7212001843","doi":"https://doi.org/10.48550/arxiv.2609.06179","title":"Quantum lattice Boltzmann method via density-matrix encoding for fluid simulation with wall boundary conditions","display_name":"Quantum lattice Boltzmann method via density-matrix encoding for fluid simulation with wall boundary conditions","publication_year":2026,"publication_date":"2026-09-05","ids":{"openalex":"https://openalex.org/W7212001843","doi":"https://doi.org/10.48550/arxiv.2609.06179"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.06179","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.06179","pdf_url":"https://arxiv.org/pdf/2609.06179","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.06179","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5150978280","display_name":"Hao Su","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4391767778","display_name":"State Key Laboratory of Turbulence and Complex Systems","ror":"https://ror.org/04km98768","country_code":"CN","type":"facility","lineage":["https://openalex.org/I20231570","https://openalex.org/I4391767778"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Su, Hao","raw_affiliation_strings":["State Key Laboratory for Turbulence and Complex Systems , School of Mechanics and Engineering Science , Peking University , Beijing , 100871 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory for Turbulence and Complex Systems , School of Mechanics and Engineering Science , Peking University , Beijing , 100871 , China","institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4391767778"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5151074243","display_name":"Boyuan Wang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wang, Boyuan","raw_affiliation_strings":["HEDPS-CAPT , Peking University , Beijing , 100871 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HEDPS-CAPT , Peking University , Beijing , 100871 , China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5151074500","display_name":"Yue Yang","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I4391767778","display_name":"State Key Laboratory of Turbulence and Complex Systems","ror":"https://ror.org/04km98768","country_code":"CN","type":"facility","lineage":["https://openalex.org/I20231570","https://openalex.org/I4391767778"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang, Yue","raw_affiliation_strings":["HEDPS-CAPT , Peking University , Beijing , 100871 , China","State Key Laboratory for Turbulence and Complex Systems , School of Mechanics and Engineering Science , Peking University , Beijing , 100871 , China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HEDPS-CAPT , Peking University , Beijing , 100871 , China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"State Key Laboratory for Turbulence and Complex Systems , School of Mechanics and Engineering Science , Peking University , Beijing , 100871 , China","institution_ids":["https://openalex.org/I20231570","https://openalex.org/I4391767778"]}]}],"institutions":[],"countries_distinct_count":1,"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/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9458000063896179,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11751","display_name":"Lattice Boltzmann Simulation Studies","score":0.9458000063896179,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.04190000146627426,"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/T11012","display_name":"Gas Dynamics and Kinetic Theory","score":0.0006000000284984708,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/wall-boundary-conditions","display_name":"wall boundary conditions","score":0.8489999771118164},{"id":"https://openalex.org/keywords/no-slip-boundary-condition","display_name":"no-slip boundary condition","score":0.7770000100135803},{"id":"https://openalex.org/keywords/kraus-operators","display_name":"Kraus operators","score":0.9229999780654907},{"id":"https://openalex.org/keywords/controlled-swap-gate","display_name":"controlled-SWAP gate","score":0.7710000276565552},{"id":"https://openalex.org/keywords/backward-facing-step-flow","display_name":"backward-facing step flow","score":0.8190000057220459},{"id":"https://openalex.org/keywords/flow-around-cylinder","display_name":"cylinder flow","score":0.6399999856948853},{"id":"https://openalex.org/keywords/obstacle-flow","display_name":"obstacle flow","score":0.5479999780654907}],"concepts":[{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.6633999943733215},{"id":"https://openalex.org/C21821499","wikidata":"https://www.wikidata.org/wiki/Q1807064","display_name":"Lattice Boltzmann methods","level":2,"score":0.6193000078201294},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5496000051498413},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5059000253677368},{"id":"https://openalex.org/C99821215","wikidata":"https://www.wikidata.org/wiki/Q1136583","display_name":"Swap (finance)","level":2,"score":0.4805999994277954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45179998874664307},{"id":"https://openalex.org/C171268870","wikidata":"https://www.wikidata.org/wiki/Q1486676","display_name":"GRASP","level":2,"score":0.4147000014781952},{"id":"https://openalex.org/C2776650193","wikidata":"https://www.wikidata.org/wiki/Q264661","display_name":"Obstacle","level":2,"score":0.3880999982357025},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.37689998745918274},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36980000138282776},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.36800000071525574},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.36149999499320984},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3596000075340271},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.35499998927116394},{"id":"https://openalex.org/C79042034","wikidata":"https://www.wikidata.org/wiki/Q4949963","display_name":"Boundary conditions in CFD","level":5,"score":0.34119999408721924},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.3343000113964081},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3280999958515167},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3248000144958496},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3215000033378601},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.31940001249313354},{"id":"https://openalex.org/C45178976","wikidata":"https://www.wikidata.org/wiki/Q15939839","display_name":"Different types of boundary conditions in fluid dynamics","level":5,"score":0.31929999589920044},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.31540000438690186},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.3052999973297119},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.29809999465942383},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.29649999737739563},{"id":"https://openalex.org/C35304006","wikidata":"https://www.wikidata.org/wiki/Q5962","display_name":"Boltzmann constant","level":2,"score":0.2924000024795532},{"id":"https://openalex.org/C32833848","wikidata":"https://www.wikidata.org/wiki/Q4115054","display_name":"Extensibility","level":2,"score":0.2867000102996826},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.2815999984741211},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.2678000032901764},{"id":"https://openalex.org/C17816496","wikidata":"https://www.wikidata.org/wiki/Q7269050","display_name":"Quantum fluid","level":3,"score":0.26460000872612},{"id":"https://openalex.org/C2781302577","wikidata":"https://www.wikidata.org/wiki/Q209","display_name":"Rectangle","level":2,"score":0.2614000141620636},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.257999986410141},{"id":"https://openalex.org/C201289731","wikidata":"https://www.wikidata.org/wiki/Q1172599","display_name":"Inlet","level":2,"score":0.2558000087738037}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.06179","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.06179","pdf_url":"https://arxiv.org/pdf/2609.06179","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.2609.06179","doi":"https://doi.org/10.48550/arxiv.2609.06179","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.06179","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.06179","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.06179","pdf_url":"https://arxiv.org/pdf/2609.06179","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G6203909830","display_name":null,"funder_award_id":"12525201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8996434041","display_name":null,"funder_award_id":"12432010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G995612298","display_name":null,"funder_award_id":"12588201","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212001843.pdf","grobid_xml":"https://content.openalex.org/works/W7212001843.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W4389599323","https://openalex.org/W4414039061","https://openalex.org/W4417032083","https://openalex.org/W4417447057","https://openalex.org/W7163136768"],"related_works":["https://openalex.org/W7163136768","https://openalex.org/W4389599323","https://openalex.org/W7162638181","https://openalex.org/W7212073114","https://openalex.org/W7124444210","https://openalex.org/W4417143422","https://openalex.org/W4416873913","https://openalex.org/W7160307665","https://openalex.org/W7154316303","https://openalex.org/W7161537739"],"abstract_inverted_index":{"The":[0],"quantum":[1,82],"lattice":[2],"Boltzmann":[3],"method":[4],"(QLBM)":[5],"holds":[6],"promise":[7],"for":[8],"efficient":[9],"fluid":[10],"simulations,":[11],"yet":[12],"the":[13,48,68,85,97,103,108,127],"treatment":[14],"of":[15,70,84,138,158],"realistic":[16],"boundary":[17,22,77,160],"conditions,":[18],"particularly":[19],"solid":[20],"wall":[21,38],"with":[23,51,122,150],"arbitrary":[24],"geometry,":[25,152],"remains":[26],"a":[27,33,56,81,91,142,145],"critical":[28],"open":[29],"challenge.":[30],"We":[31],"propose":[32],"QLBM":[34,50,132],"algorithm":[35],"that":[36,59],"incorporates":[37],"boundaries":[39],"as":[40,42],"well":[41],"inlet/outlet":[43],"velocity":[44,129],"conditions.":[45],"Building":[46],"upon":[47],"existing":[49],"ensemble":[52],"transformations,":[53],"we":[54,79],"adopt":[55],"density-matrix":[57],"encoding":[58],"offers":[60],"greater":[61],"flexibility":[62],"in":[63,126],"circuit":[64],"design":[65,80],"and":[66,89,112,147,156],"enables":[67],"implementation":[69,83],"non-unitary":[71],"operations":[72,120],"through":[73,136],"Kraus":[74],"operators.":[75],"For":[76],"enforcement,":[78],"half-way":[86],"bounce-back":[87],"scheme":[88],"introduce":[90],"component":[92],"exchange":[93],"step":[94],"prior":[95],"to":[96],"streaming":[98],"step,":[99,144],"which":[100],"naturally":[101],"enforces":[102],"no-slip":[104],"condition":[105],"without":[106],"modifying":[107],"transport":[109],"operation.":[110],"Inlet":[111],"outlet":[113],"conditions":[114],"are":[115],"imposed":[116],"via":[117],"controlled":[118],"SWAP":[119],"combined":[121],"ancilla":[123],"registers":[124],"prepared":[125],"prescribed":[128],"states.":[130],"Our":[131],"is":[133],"quantitatively":[134],"validated":[135],"simulations":[137],"two-dimensional":[139],"flows":[140],"past":[141],"backward-facing":[143],"cylinder,":[146],"an":[148],"obstacle":[149],"complex":[151],"demonstrating":[153],"both":[154],"accuracy":[155],"extensibility":[157],"our":[159],"algorithm.":[161]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-10T00:00:00"}
