{"id":"https://openalex.org/W4415097654","doi":"https://doi.org/10.48550/arxiv.2510.07195","title":"Accelerating Inference for Multilayer Neural Networks with Quantum Computers","display_name":"Accelerating Inference for Multilayer Neural Networks with Quantum Computers","publication_year":2025,"publication_date":"2025-10-08","ids":{"openalex":"https://openalex.org/W4415097654","doi":"https://doi.org/10.48550/arxiv.2510.07195"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2510.07195","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.07195","pdf_url":"https://arxiv.org/pdf/2510.07195","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2510.07195","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034790880","display_name":"Arthur G. Rattew","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Rattew, Arthur G.","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101637850","display_name":"Po\u2010Wei Huang","orcid":"https://orcid.org/0000-0002-3130-1354"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Huang, Po-Wei","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040132194","display_name":"Naixu Guo","orcid":"https://orcid.org/0000-0001-6694-6454"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guo, Naixu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034092931","display_name":"Lirand\u00eb Pira","orcid":"https://orcid.org/0000-0002-6305-1150"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pira, Lirand\u00eb","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5003208881","display_name":"Patrick Rebentrost","orcid":"https://orcid.org/0000-0002-6728-8163"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rebentrost, Patrick","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5034790880"],"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9934999942779541,"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":0.9934999942779541,"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/T10320","display_name":"Neural Networks and Applications","score":0.9828000068664551,"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/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.9757000207901001,"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/speedup","display_name":"Speedup","score":0.7942000031471252},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.5771999955177307},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.5339999794960022},{"id":"https://openalex.org/keywords/quartic-function","display_name":"Quartic function","score":0.5304999947547913},{"id":"https://openalex.org/keywords/inference","display_name":"Inference","score":0.48809999227523804},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4578000009059906},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4449999928474426},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.44029998779296875}],"concepts":[{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.7942000031471252},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7458000183105469},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5771999955177307},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.5339999794960022},{"id":"https://openalex.org/C130432447","wikidata":"https://www.wikidata.org/wiki/Q11420049","display_name":"Quartic function","level":2,"score":0.5304999947547913},{"id":"https://openalex.org/C2776214188","wikidata":"https://www.wikidata.org/wiki/Q408386","display_name":"Inference","level":2,"score":0.48809999227523804},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4578000009059906},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4449999928474426},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.44029998779296875},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42980000376701355},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.42289999127388},{"id":"https://openalex.org/C59500034","wikidata":"https://www.wikidata.org/wiki/Q1464944","display_name":"Quantum Fourier transform","level":5,"score":0.41920000314712524},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.40709999203681946},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3986000120639801},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.375900000333786},{"id":"https://openalex.org/C108583219","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep learning","level":2,"score":0.37400001287460327},{"id":"https://openalex.org/C2779094486","wikidata":"https://www.wikidata.org/wiki/Q18811578","display_name":"Quantum machine learning","level":4,"score":0.36329999566078186},{"id":"https://openalex.org/C174348530","wikidata":"https://www.wikidata.org/wiki/Q188635","display_name":"Bridging (networking)","level":2,"score":0.35370001196861267},{"id":"https://openalex.org/C81388566","wikidata":"https://www.wikidata.org/wiki/Q526668","display_name":"Sigmoid function","level":3,"score":0.3183000087738037},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.3165999948978424},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.31040000915527344},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3003999888896942},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.29190000891685486},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2754000127315521},{"id":"https://openalex.org/C2984842247","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep neural networks","level":3,"score":0.2556999921798706},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.25200000405311584}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2510.07195","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.07195","pdf_url":"https://arxiv.org/pdf/2510.07195","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"pmh:oai:ora.ox.ac.uk:uuid:c672c6f9-c67f-425b-8b47-2130248ee4a7","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements","raw_type":"http://purl.org/coar/resource_type/c_5794"},{"id":"doi:10.48550/arxiv.2510.07195","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2510.07195","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2510.07195","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.07195","pdf_url":"https://arxiv.org/pdf/2510.07195","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":[],"awards":[{"id":"https://openalex.org/G1830266808","display_name":"Software Enabling Early Quantum Advantage - SEEQA","funder_award_id":"EP/Y004655/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G230183981","display_name":"DTP 2224 University of Oxford","funder_award_id":"EP/W524311/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G5305115752","display_name":null,"funder_award_id":"RF2021-QEP2-02-P05","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"},{"id":"https://openalex.org/G5428356290","display_name":null,"funder_award_id":"NRF2021-QEP2-02-P05","funder_id":"https://openalex.org/F4320320709","funder_display_name":"National Research Foundation Singapore"},{"id":"https://openalex.org/G7953190121","display_name":null,"funder_award_id":"EP/W524311/1","funder_id":"https://openalex.org/F4320320290","funder_display_name":"University of Oxford"}],"funders":[{"id":"https://openalex.org/F4320311992","display_name":"St. Catherine's College, University of Oxford","ror":"https://ror.org/052gg0110"},{"id":"https://openalex.org/F4320320290","display_name":"University of Oxford","ror":"https://ror.org/052gg0110"},{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320698","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49"},{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"},{"id":"https://openalex.org/F4320324089","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4415097654.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Fault-tolerant":[0],"Quantum":[1],"Processing":[2],"Units":[3],"(QPUs)":[4],"promise":[5],"to":[6,110,125],"deliver":[7],"exponential":[8],"speed-ups":[9],"in":[10],"select":[11],"computational":[12],"tasks,":[13],"yet":[14],"their":[15],"integration":[16],"into":[17],"modern":[18],"deep":[19,56],"learning":[20,57],"pipelines":[21],"remains":[22],"unclear.":[23],"In":[24],"this":[25,33],"work,":[26],"we":[27,94,113,133],"take":[28],"a":[29,43,96,115,136,148],"step":[30],"towards":[31],"bridging":[32],"gap":[34],"by":[35],"presenting":[36],"the":[37,79,111,127,130],"first":[38],"fully-coherent":[39],"quantum":[40,87,108,123],"implementation":[41],"of":[42,64,81,158],"multilayer":[44],"neural":[45],"network":[46,131,137],"with":[47,67,138,155,160],"non-linear":[48],"activation":[49],"functions.":[50],"Our":[51],"constructions":[52],"mirror":[53],"widely":[54],"used":[55],"architectures":[58],"based":[59],"on":[60],"ResNet,":[61],"and":[62,74,129,147],"consist":[63],"residual":[65,144],"blocks":[66],"multi-filter":[68],"2D":[69],"convolutions,":[70],"sigmoid":[71],"activations,":[72],"skip-connections,":[73],"layer":[75,151],"normalizations.":[76],"We":[77],"analyse":[78],"complexity":[80],"inference":[82,162],"for":[83,102],"networks":[84],"under":[85],"three":[86],"data":[88],"access":[89,109,124],"regimes.":[90],"Without":[91],"any":[92],"assumptions,":[93],"establish":[95],"quadratic":[97],"speedup":[98,117],"over":[99,118],"classical":[100,119],"methods":[101],"shallow":[103],"bilinear-style":[104],"networks.":[105],"With":[106,121],"efficient":[107,122],"weights,":[112,132],"obtain":[114],"quartic":[116],"methods.":[120],"both":[126],"inputs":[128],"prove":[134],"that":[135],"an":[139,156],"$N$-dimensional":[140],"vectorized":[141],"input,":[142],"$k$":[143],"block":[145],"layers,":[146],"final":[149],"residual-linear-pooling":[150],"can":[152],"be":[153],"implemented":[154],"error":[157],"$\u03b5$":[159],"$O(\\text{polylog}(N/\u03b5)^k)$":[161],"cost.":[163]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-13T00:00:00"}