{"id":"https://openalex.org/W4395481408","doi":"https://doi.org/10.1088/2632-2153/ad43b2","title":"Hybrid quantum physics-informed neural networks for simulating computational fluid dynamics in complex shapes","display_name":"Hybrid quantum physics-informed neural networks for simulating computational fluid dynamics in complex shapes","publication_year":2024,"publication_date":"2024-04-25","ids":{"openalex":"https://openalex.org/W4395481408","doi":"https://doi.org/10.1088/2632-2153/ad43b2"},"language":"en","primary_location":{"id":"doi:10.1088/2632-2153/ad43b2","is_oa":true,"landing_page_url":"https://doi.org/10.1088/2632-2153/ad43b2","pdf_url":null,"source":{"id":"https://openalex.org/S4210200687","display_name":"Machine Learning Science and Technology","issn_l":"2632-2153","issn":["2632-2153"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning: Science and Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1088/2632-2153/ad43b2","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044243560","display_name":"Alexandr Sedykh","orcid":"https://orcid.org/0009-0003-8431-0873"},"institutions":[{"id":"https://openalex.org/I4210121585","display_name":"Terra Quantum (Switzerland)","ror":"https://ror.org/02y8r3w10","country_code":"CH","type":"company","lineage":["https://openalex.org/I4210121585"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Alexandr Sedykh","raw_affiliation_strings":["Terra Quantum AG, 9000 St. Gallen, Switzerland"],"raw_orcid":"https://orcid.org/0009-0003-8431-0873","affiliations":[{"raw_affiliation_string":"Terra Quantum AG, 9000 St. Gallen, Switzerland","institution_ids":["https://openalex.org/I4210121585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005507484","display_name":"Maninadh Podapaka","orcid":null},"institutions":[{"id":"https://openalex.org/I200439574","display_name":"Evonik (Germany)","ror":"https://ror.org/01qmw3j63","country_code":"DE","type":"company","lineage":["https://openalex.org/I200439574"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Maninadh Podapaka","raw_affiliation_strings":["Evonik Operations GmbH, 63450 Hanau-Wolfgang, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Evonik Operations GmbH, 63450 Hanau-Wolfgang, Germany","institution_ids":["https://openalex.org/I200439574"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079807084","display_name":"Asel Sagingalieva","orcid":"https://orcid.org/0009-0009-3931-3702"},"institutions":[{"id":"https://openalex.org/I4210121585","display_name":"Terra Quantum (Switzerland)","ror":"https://ror.org/02y8r3w10","country_code":"CH","type":"company","lineage":["https://openalex.org/I4210121585"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Asel Sagingalieva","raw_affiliation_strings":["Terra Quantum AG, 9000 St. Gallen, Switzerland"],"raw_orcid":"https://orcid.org/0009-0009-3931-3702","affiliations":[{"raw_affiliation_string":"Terra Quantum AG, 9000 St. Gallen, Switzerland","institution_ids":["https://openalex.org/I4210121585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073136410","display_name":"Karan Pinto","orcid":null},"institutions":[{"id":"https://openalex.org/I4210121585","display_name":"Terra Quantum (Switzerland)","ror":"https://ror.org/02y8r3w10","country_code":"CH","type":"company","lineage":["https://openalex.org/I4210121585"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Karan Pinto","raw_affiliation_strings":["Terra Quantum AG, 9000 St. Gallen, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Terra Quantum AG, 9000 St. Gallen, Switzerland","institution_ids":["https://openalex.org/I4210121585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016058393","display_name":"Markus Pflitsch","orcid":null},"institutions":[{"id":"https://openalex.org/I4210121585","display_name":"Terra Quantum (Switzerland)","ror":"https://ror.org/02y8r3w10","country_code":"CH","type":"company","lineage":["https://openalex.org/I4210121585"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Markus Pflitsch","raw_affiliation_strings":["Terra Quantum AG, 9000 St. Gallen, Switzerland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Terra Quantum AG, 9000 St. Gallen, Switzerland","institution_ids":["https://openalex.org/I4210121585"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086295021","display_name":"Alexey Melnikov","orcid":"https://orcid.org/0000-0002-5033-4063"},"institutions":[{"id":"https://openalex.org/I4210121585","display_name":"Terra Quantum (Switzerland)","ror":"https://ror.org/02y8r3w10","country_code":"CH","type":"company","lineage":["https://openalex.org/I4210121585"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Alexey Melnikov","raw_affiliation_strings":["Terra Quantum AG, 9000 St. Gallen, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-5033-4063","affiliations":[{"raw_affiliation_string":"Terra Quantum AG, 9000 St. Gallen, Switzerland","institution_ids":["https://openalex.org/I4210121585"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5044243560"],"corresponding_institution_ids":["https://openalex.org/I4210121585"],"apc_list":{"value":1600,"currency":"GBP","value_usd":1962},"apc_paid":{"value":1600,"currency":"GBP","value_usd":1962},"fwci":8.156,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.98391336,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"5","issue":"2","first_page":"025045","last_page":"025045"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11206","display_name":"Model Reduction and Neural Networks","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.991100013256073,"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/T13650","display_name":"Computational Physics and Python Applications","score":0.9855999946594238,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5439668893814087},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4709145724773407},{"id":"https://openalex.org/keywords/dynamics","display_name":"Dynamics (music)","score":0.4420391917228699},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4411907196044922},{"id":"https://openalex.org/keywords/quantum-dynamics","display_name":"Quantum dynamics","score":0.4346930682659149},{"id":"https://openalex.org/keywords/computational-fluid-dynamics","display_name":"Computational fluid dynamics","score":0.4201485514640808},{"id":"https://openalex.org/keywords/fluid-dynamics","display_name":"Fluid dynamics","score":0.4131110906600952},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.41159120202064514},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3966543674468994},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.34324026107788086},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2622937858104706},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2267318069934845},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1975897252559662},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.07305756211280823}],"concepts":[{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5439668893814087},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4709145724773407},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.4420391917228699},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4411907196044922},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.4346930682659149},{"id":"https://openalex.org/C1633027","wikidata":"https://www.wikidata.org/wiki/Q815820","display_name":"Computational fluid dynamics","level":2,"score":0.4201485514640808},{"id":"https://openalex.org/C90278072","wikidata":"https://www.wikidata.org/wiki/Q216320","display_name":"Fluid dynamics","level":2,"score":0.4131110906600952},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41159120202064514},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3966543674468994},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.34324026107788086},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2622937858104706},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2267318069934845},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1975897252559662},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.07305756211280823}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1088/2632-2153/ad43b2","is_oa":true,"landing_page_url":"https://doi.org/10.1088/2632-2153/ad43b2","pdf_url":null,"source":{"id":"https://openalex.org/S4210200687","display_name":"Machine Learning Science and Technology","issn_l":"2632-2153","issn":["2632-2153"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning: Science and Technology","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0bed51d1bffd48368348bb454b2c07d9","is_oa":true,"landing_page_url":"https://doaj.org/article/0bed51d1bffd48368348bb454b2c07d9","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Machine Learning: Science and Technology, Vol 5, Iss 2, p 025045 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1088/2632-2153/ad43b2","is_oa":true,"landing_page_url":"https://doi.org/10.1088/2632-2153/ad43b2","pdf_url":null,"source":{"id":"https://openalex.org/S4210200687","display_name":"Machine Learning Science and Technology","issn_l":"2632-2153","issn":["2632-2153"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Machine Learning: Science and Technology","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":92,"referenced_works":["https://openalex.org/W1498436455","https://openalex.org/W1522301498","https://openalex.org/W1853291804","https://openalex.org/W2036029762","https://openalex.org/W2067529211","https://openalex.org/W2103956991","https://openalex.org/W2137983211","https://openalex.org/W2187345578","https://openalex.org/W2523246573","https://openalex.org/W2781738013","https://openalex.org/W2792315573","https://openalex.org/W2796293949","https://openalex.org/W2899283552","https://openalex.org/W2901306828","https://openalex.org/W2923153053","https://openalex.org/W2962727772","https://openalex.org/W2962834855","https://openalex.org/W2963198496","https://openalex.org/W2995742898","https://openalex.org/W2997326604","https://openalex.org/W3007913393","https://openalex.org/W3022026918","https://openalex.org/W3023241366","https://openalex.org/W3040543265","https://openalex.org/W3042830018","https://openalex.org/W3075559820","https://openalex.org/W3081410576","https://openalex.org/W3083594649","https://openalex.org/W3092923133","https://openalex.org/W3100931082","https://openalex.org/W3105380624","https://openalex.org/W3108818881","https://openalex.org/W3111502663","https://openalex.org/W3112041808","https://openalex.org/W3133779704","https://openalex.org/W3134827716","https://openalex.org/W3168463275","https://openalex.org/W3198075328","https://openalex.org/W3202950375","https://openalex.org/W4220717841","https://openalex.org/W4221159811","https://openalex.org/W4247680473","https://openalex.org/W4280496556","https://openalex.org/W4285494914","https://openalex.org/W4287020336","https://openalex.org/W4287023463","https://openalex.org/W4287072668","https://openalex.org/W4287323184","https://openalex.org/W4287556403","https://openalex.org/W4287645102","https://openalex.org/W4300687869","https://openalex.org/W4313117928","https://openalex.org/W4317936928","https://openalex.org/W4321093998","https://openalex.org/W4323044453","https://openalex.org/W4361806052","https://openalex.org/W4361806804","https://openalex.org/W4362470806","https://openalex.org/W4376983366","https://openalex.org/W4380683268","https://openalex.org/W4381163518","https://openalex.org/W4384154013","https://openalex.org/W4384811943","https://openalex.org/W4385438293","https://openalex.org/W4385964725","https://openalex.org/W4387016199","https://openalex.org/W4387187604","https://openalex.org/W4391951331","https://openalex.org/W6631190155","https://openalex.org/W6686983197","https://openalex.org/W6727249380","https://openalex.org/W6754627239","https://openalex.org/W6771984780","https://openalex.org/W6774033856","https://openalex.org/W6782436372","https://openalex.org/W6782839459","https://openalex.org/W6783741718","https://openalex.org/W6784227514","https://openalex.org/W6787226681","https://openalex.org/W6787260590","https://openalex.org/W6790537885","https://openalex.org/W6798983118","https://openalex.org/W6799074935","https://openalex.org/W6800169315","https://openalex.org/W6801252042","https://openalex.org/W6810474178","https://openalex.org/W6838672298","https://openalex.org/W6840397784","https://openalex.org/W6851871693","https://openalex.org/W6854502104","https://openalex.org/W6855437114","https://openalex.org/W6856013203"],"related_works":["https://openalex.org/W3006027083","https://openalex.org/W2352639646","https://openalex.org/W2809988020","https://openalex.org/W4253695312","https://openalex.org/W2265619912","https://openalex.org/W2360943024","https://openalex.org/W2556915148","https://openalex.org/W204964826","https://openalex.org/W2146338266","https://openalex.org/W2990747292"],"abstract_inverted_index":{"Abstract":[0],"Finding":[1],"the":[2,5,14,22,62,66,95,132,140,161,182,198],"distribution":[3],"of":[4,9,37,49,135,142,163,184,200],"velocities":[6],"and":[7,25,34,46,58,68,97,106,167,203],"pressures":[8],"a":[10,18,78,114,136,143,147,153],"fluid":[11,50,83,104,122,178,185,205],"by":[12],"solving":[13],"Navier\u2013Stokes":[15],"equations":[16],"is":[17],"principal":[19],"task":[20],"in":[21,31,35,52,85,94,124,146,168,176,187],"chemical,":[23],"energy,":[24],"pharmaceutical":[26],"industries,":[27],"as":[28,30,44,88],"well":[29],"mechanical":[32],"engineering":[33],"design":[36],"pipeline":[38],"systems.":[39],"With":[40],"existing":[41],"solvers,":[42],"such":[43],"OpenFOAM":[45],"Ansys,":[47],"simulations":[48,186],"dynamics":[51,206],"intricate":[53],"geometries":[54],"are":[55,71,77],"computationally":[56],"expensive":[57],"require":[59],"re-simulation":[60],"whenever":[61],"geometric":[63],"parameters":[64,105],"or":[65],"initial":[67],"boundary":[69],"conditions":[70],"altered.":[72],"Physics-informed":[73],"neural":[74,156],"networks":[75],"(PINNs)":[76],"promising":[79],"tool":[80],"for":[81,101,171],"simulating":[82],"flows":[84],"complex":[86,172,188],"geometries,":[87,189],"they":[89],"can":[90],"adapt":[91],"to":[92,152,197],"changes":[93],"geometry":[96],"mesh":[98],"definitions,":[99],"allowing":[100],"generalization":[102],"across":[103,109],"transfer":[107],"learning":[108,165],"different":[110],"shapes.":[111],"We":[112],"present":[113],"hybrid":[115,193],"quantum":[116,137,194],"PINN":[117],"(HQPINN)":[118],"that":[119],"simulates":[120],"laminar":[121],"flow":[123],"3D":[125],"Y":[126],"-shaped":[127],"mixers.":[128],"Our":[129,158],"approach":[130],"combines":[131],"expressive":[133],"power":[134],"model":[138],"with":[139],"flexibility":[141],"PINN,":[144],"resulting":[145],"21%":[148],"higher":[149],"accuracy":[150,183],"compared":[151],"purely":[154],"classical":[155],"network.":[157],"findings":[159],"highlight":[160],"potential":[162],"machine":[164],"approaches,":[166],"particular":[169],"HQPINN,":[170],"shape":[173],"optimization":[174],"tasks":[175],"computational":[177],"dynamics.":[179],"By":[180],"improving":[181],"our":[190],"research":[191],"using":[192],"models":[195],"contributes":[196],"development":[199],"more":[201],"efficient":[202],"reliable":[204],"solvers.":[207]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":19},{"year":2024,"cited_by_count":5}],"updated_date":"2026-05-09T13:55:54.758798","created_date":"2025-10-10T00:00:00"}