{"id":"https://openalex.org/W7214337371","doi":"https://doi.org/10.48550/arxiv.2609.28760","title":"Walsh-Transform Realization of Dense-to-Sparse Quantum State Preparation","display_name":"Walsh-Transform Realization of Dense-to-Sparse Quantum State Preparation","publication_year":2026,"publication_date":"2026-09-23","ids":{"openalex":"https://openalex.org/W7214337371","doi":"https://doi.org/10.48550/arxiv.2609.28760"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.28760","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28760","pdf_url":"https://arxiv.org/pdf/2609.28760","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/2609.28760","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5120541301","display_name":"Emad Rezaei Fard Boosari","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Boosari, Emad Rezaei Fard","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5120541301"],"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":0.9990000128746033,"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":0.9990000128746033,"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":0.00039999998989515007,"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"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":9.999999747378752e-05,"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/quantum-state-preparation","display_name":"quantum state preparation","score":0.8560000061988831},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.9739999771118164},{"id":"https://openalex.org/keywords/amplitude-encoding","display_name":"amplitude encoding","score":0.7960000038146973},{"id":"https://openalex.org/keywords/hybrid-quantum-classical-algorithms","display_name":"hybrid quantum-classical algorithms","score":0.5509999990463257},{"id":"https://openalex.org/keywords/circuit-depth-reduction","display_name":"circuit depth reduction","score":0.6290000081062317}],"concepts":[{"id":"https://openalex.org/C182953411","wikidata":"https://www.wikidata.org/wiki/Q917713","display_name":"Controlled NOT gate","level":5,"score":0.7146999835968018},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.6811000108718872},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5789999961853027},{"id":"https://openalex.org/C124148022","wikidata":"https://www.wikidata.org/wiki/Q2122210","display_name":"Quantum circuit","level":5,"score":0.5752999782562256},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5460000038146973},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5192999839782715},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5121999979019165},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4805000126361847},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.48030000925064087},{"id":"https://openalex.org/C59500034","wikidata":"https://www.wikidata.org/wiki/Q1464944","display_name":"Quantum Fourier transform","level":5,"score":0.4512999951839447},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.44269999861717224},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.41440001130104065},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3580000102519989},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.3472999930381775},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.33739998936653137},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.32589998841285706},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.31119999289512634},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2994000017642975},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.2948000133037567},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.2773999869823456},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.27619999647140503},{"id":"https://openalex.org/C19271316","wikidata":"https://www.wikidata.org/wiki/Q7092353","display_name":"One-way quantum computer","level":5,"score":0.27000001072883606},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.2619999945163727},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2581999897956848}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.28760","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28760","pdf_url":"https://arxiv.org/pdf/2609.28760","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.2609.28760","doi":"https://doi.org/10.48550/arxiv.2609.28760","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.28760","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":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.28760","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.28760","pdf_url":"https://arxiv.org/pdf/2609.28760","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":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214337371.pdf","grobid_xml":"https://content.openalex.org/works/W7214337371.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W4416967270","https://openalex.org/W7106209650","https://openalex.org/W7110066968","https://openalex.org/W7128376311"],"related_works":["https://openalex.org/W7120405567","https://openalex.org/W4385468837","https://openalex.org/W4416967270","https://openalex.org/W4402985998","https://openalex.org/W7158224897","https://openalex.org/W4307479171","https://openalex.org/W4388093342","https://openalex.org/W4394708628","https://openalex.org/W4310808773","https://openalex.org/W3212229612"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,28,61,74],"hybrid":[3],"quantum":[4,16,29,104],"state":[5,17,67,128],"preparation":[6,18,105,129],"method":[7,21,44,94,125],"based":[8],"on":[9,117],"the":[10,14,39,43,47,51,57,92,110,123,139],"Walsh--Hadamard":[11],"transform":[12],"within":[13],"dense-to-sparse":[15],"framework.":[19],"The":[20,65],"approximately":[22,71,135],"prepares":[23,55],"structured":[24],"classical":[25,48],"data":[26,49],"in":[27,138],"circuit":[30,89],"through":[31,73],"an":[32],"indirect":[33],"approach.":[34],"Instead":[35],"of":[36,77],"directly":[37],"preparing":[38],"dense":[40],"amplitude-encoded":[41],"state,":[42],"first":[45],"transforms":[46],"into":[50],"Walsh":[52,140],"domain":[53],"and":[54,87,102],"only":[56],"largest-magnitude":[58],"coefficients":[59],"using":[60],"sparse":[62,112,133,136],"state-preparation":[63,113],"algorithm.":[64,114],"original":[66],"can":[68],"then":[69],"be":[70],"recovered":[72],"parallel":[75],"layer":[76],"Hadamard":[78],"gates.":[79],"Since":[80],"this":[81],"reconstruction":[82],"requires":[83],"no":[84,96],"CNOT":[85,98],"gates":[86],"has":[88],"depth":[90],"1,":[91],"proposed":[93,124],"introduces":[95],"additional":[97],"or":[99,134],"circuit-depth":[100],"overhead,":[101],"its":[103],"cost":[106],"is":[107],"determined":[108],"by":[109],"underlying":[111],"Numerical":[115],"results":[116],"representative":[118],"benchmark":[119],"signals":[120,131],"demonstrate":[121],"that":[122],"enables":[126],"accurate":[127],"for":[130],"admitting":[132],"representations":[137],"domain.":[141]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-09-26T00:00:00"}