{"id":"https://openalex.org/W4402706150","doi":"https://doi.org/10.3390/e27060596","title":"Phase Coordinate Uncomputation in Quantum Recursive Fourier Sampling","display_name":"Phase Coordinate Uncomputation in Quantum Recursive Fourier Sampling","publication_year":2025,"publication_date":"2025-06-02","ids":{"openalex":"https://openalex.org/W4402706150","doi":"https://doi.org/10.3390/e27060596","pmid":"https://pubmed.ncbi.nlm.nih.gov/40566183"},"language":"en","primary_location":{"id":"doi:10.3390/e27060596","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27060596","pdf_url":"https://www.mdpi.com/1099-4300/27/6/596/pdf?version=1748876653","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/27/6/596/pdf?version=1748876653","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012861386","display_name":"Christoffer Hindlycke","orcid":"https://orcid.org/0000-0002-7312-8158"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Christoffer Hindlycke","raw_affiliation_strings":["Department of Electrical Engineering, Link\u00f6ping University, 581 83 Link\u00f6ping, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-7312-8158","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Link\u00f6ping University, 581 83 Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102819687","display_name":"Niklas Johansson","orcid":"https://orcid.org/0000-0001-5888-1291"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Niklas Johansson","raw_affiliation_strings":["Department of Electrical Engineering, Link\u00f6ping University, 581 83 Link\u00f6ping, Sweden"],"raw_orcid":"https://orcid.org/0000-0001-5888-1291","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Link\u00f6ping University, 581 83 Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086524877","display_name":"Jan-\u00c5ke Larsson","orcid":"https://orcid.org/0000-0002-1082-8325"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Jan-\u00c5ke Larsson","raw_affiliation_strings":["Department of Electrical Engineering, Link\u00f6ping University, 581 83 Link\u00f6ping, Sweden"],"raw_orcid":"https://orcid.org/0000-0002-1082-8325","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Link\u00f6ping University, 581 83 Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5012861386"],"corresponding_institution_ids":["https://openalex.org/I102134673"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00118847,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"6","first_page":"596","last_page":"596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.9897000193595886,"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"}},"topics":[{"id":"https://openalex.org/T11177","display_name":"Spectroscopy and Quantum Chemical Studies","score":0.9897000193595886,"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/T10566","display_name":"Laser-Matter Interactions and Applications","score":0.965399980545044,"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/T11324","display_name":"Spectroscopy Techniques in Biomedical and Chemical Research","score":0.9621000289916992,"subfield":{"id":"https://openalex.org/subfields/1304","display_name":"Biophysics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sampling","display_name":"Sampling (signal processing)","score":0.5717236399650574},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5432329177856445},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5399508476257324},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.41840124130249023},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3654644191265106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35174131393432617},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.34004032611846924},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32697832584381104},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.22685572504997253},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1428506076335907}],"concepts":[{"id":"https://openalex.org/C140779682","wikidata":"https://www.wikidata.org/wiki/Q210868","display_name":"Sampling (signal processing)","level":3,"score":0.5717236399650574},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5432329177856445},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5399508476257324},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.41840124130249023},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3654644191265106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35174131393432617},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34004032611846924},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32697832584381104},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.22685572504997253},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1428506076335907},{"id":"https://openalex.org/C94915269","wikidata":"https://www.wikidata.org/wiki/Q1834857","display_name":"Detector","level":2,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.3390/e27060596","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27060596","pdf_url":"https://www.mdpi.com/1099-4300/27/6/596/pdf?version=1748876653","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:40566183","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40566183","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:arXiv.org:2408.15938","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2408.15938","pdf_url":"https://arxiv.org/pdf/2408.15938","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:DiVA.org:liu-216652","is_oa":true,"landing_page_url":"http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-216652","pdf_url":"https://liu.diva-portal.org/smash/get/diva2:1990270/FULLTEXT01","source":{"id":"https://openalex.org/S4306401559","display_name":"KTH Publication Database DiVA (KTH Royal Institute of Technology)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:doaj.org/article:0efe9b0b5d3849a5af0298b193dc6810","is_oa":true,"landing_page_url":"https://doaj.org/article/0efe9b0b5d3849a5af0298b193dc6810","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":"Entropy, Vol 27, Iss 6, p 596 (2025)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:12192199","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/12192199","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"doi:10.48550/arxiv.2408.15938","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2408.15938","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":"doi:10.3390/e27060596","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27060596","pdf_url":"https://www.mdpi.com/1099-4300/27/6/596/pdf?version=1748876653","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1755686311","display_name":null,"funder_award_id":"2023-05031","funder_id":"https://openalex.org/F4320322581","funder_display_name":"Vetenskapsr\u00e5det"}],"funders":[{"id":"https://openalex.org/F4320322581","display_name":"Vetenskapsr\u00e5det","ror":"https://ror.org/03zttf063"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4402706150.pdf","grobid_xml":"https://content.openalex.org/works/W4402706150.grobid-xml"},"referenced_works_count":18,"referenced_works":["https://openalex.org/W1993688167","https://openalex.org/W2033216491","https://openalex.org/W4255409482","https://openalex.org/W2278285357","https://openalex.org/W2109741106","https://openalex.org/W2967431304","https://openalex.org/W2002657547","https://openalex.org/W2052146120","https://openalex.org/W4296374294","https://openalex.org/W1521316741","https://openalex.org/W1969246646","https://openalex.org/W6684539686","https://openalex.org/W2091331782","https://openalex.org/W2604467189","https://openalex.org/W6629439352","https://openalex.org/W4249531483","https://openalex.org/W2084652510","https://openalex.org/W2168676717"],"related_works":["https://openalex.org/W2038693912","https://openalex.org/W1991602789","https://openalex.org/W1582396021","https://openalex.org/W2807783496","https://openalex.org/W2051452952","https://openalex.org/W2057866436","https://openalex.org/W1977155515","https://openalex.org/W1551441281","https://openalex.org/W2548795680","https://openalex.org/W2728168581"],"abstract_inverted_index":{"Recursive":[0],"Fourier":[1],"Sampling":[2],"(RFS)":[3],"was":[4],"one":[5],"of":[6,31,52,64,76,103],"the":[7,21,53,61,84,97,101,104],"earliest":[8],"problems":[9],"to":[10,18],"demonstrate":[11],"a":[12,28,49,72],"quantum":[13,32,54,65,105],"advantage,":[14],"and":[15,43,45],"is":[16,79,86,93,96],"known":[17],"lie":[19],"outside":[20],"Merlin-Arthur":[22],"complexity":[23],"class.":[24],"This":[25,95],"work":[26],"contains":[27],"new":[29],"description":[30],"algorithms":[33],"in":[34,41,56,67],"phase":[35,68,90],"space":[36,69],"terminology,":[37],"demonstrating":[38],"its":[39],"use":[40],"RFS,":[42],"how":[44],"why":[46,77],"this":[47],"gives":[48,71],"better":[50,74],"understanding":[51,75],"advantage":[55,85],"RFS.":[57],"Most":[58],"importantly,":[59],"describing":[60],"computational":[62],"process":[63],"computation":[66],"terminology":[70],"much":[73],"uncomputation":[78],"necessary":[80],"when":[81,89],"solving":[82],"RFS:":[83],"present":[87],"only":[88],"coordinate":[91],"garbage":[92],"uncomputed.":[94],"underlying":[98],"reason":[99],"for":[100],"limitations":[102],"advantage.":[106]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2024-09-22T00:00:00"}
