{"id":"https://openalex.org/W2155594601","doi":"https://doi.org/10.1007/s00200-008-0072-2","title":"Representation-theoretical properties of the approximate quantum Fourier transform","display_name":"Representation-theoretical properties of the approximate quantum Fourier transform","publication_year":2008,"publication_date":"2008-03-07","ids":{"openalex":"https://openalex.org/W2155594601","doi":"https://doi.org/10.1007/s00200-008-0072-2","mag":"2155594601"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-008-0072-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-008-0072-2","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5109086831","display_name":"Martin R\u00f6tteler","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Martin R\u00f6tteler","raw_affiliation_strings":["NEC Laboratories America, Inc., 4 Independence Way, Suite 200, Princeton, NJ, 08540, USA"],"affiliations":[{"raw_affiliation_string":"NEC Laboratories America, Inc., 4 Independence Way, Suite 200, Princeton, NJ, 08540, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110013882","display_name":"Thomas Beth","orcid":null},"institutions":[{"id":"https://openalex.org/I102335020","display_name":"Karlsruhe Institute of Technology","ror":"https://ror.org/04t3en479","country_code":"DE","type":"education","lineage":["https://openalex.org/I102335020","https://openalex.org/I1305996414"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Thomas Beth","raw_affiliation_strings":["Institut f\u00fcr Algorithmen und Kognitive Systeme, Universit\u00e4t Karlsruhe, 76128, Karlsruhe, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Algorithmen und Kognitive Systeme, Universit\u00e4t Karlsruhe, 76128, Karlsruhe, Germany","institution_ids":["https://openalex.org/I102335020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109086831"],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.11735537,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"19","issue":"3","first_page":"177","last_page":"193"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9970999956130981,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9932000041007996,"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/representation","display_name":"Representation (politics)","score":0.6076956987380981},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.5994906425476074},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.46283507347106934},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42282813787460327},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38798558712005615},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3828286826610565},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.351715624332428},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2813988924026489},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.24439594149589539}],"concepts":[{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.6076956987380981},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.5994906425476074},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.46283507347106934},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42282813787460327},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38798558712005615},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3828286826610565},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.351715624332428},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2813988924026489},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.24439594149589539},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00200-008-0072-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-008-0072-2","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1608473410","https://openalex.org/W1617502313","https://openalex.org/W1620946649","https://openalex.org/W1631356911","https://openalex.org/W1659329695","https://openalex.org/W1953239862","https://openalex.org/W1957179875","https://openalex.org/W1964153492","https://openalex.org/W1965486967","https://openalex.org/W1967037487","https://openalex.org/W1983312464","https://openalex.org/W1988237783","https://openalex.org/W1993688167","https://openalex.org/W1995766457","https://openalex.org/W2011167826","https://openalex.org/W2020466291","https://openalex.org/W2033216491","https://openalex.org/W2061171222","https://openalex.org/W2090828985","https://openalex.org/W2102008187","https://openalex.org/W2102540828","https://openalex.org/W2109741106","https://openalex.org/W2111829945","https://openalex.org/W2117872989","https://openalex.org/W2119110040","https://openalex.org/W2134776596","https://openalex.org/W2143677375","https://openalex.org/W2156190205","https://openalex.org/W2159566537","https://openalex.org/W2159862444","https://openalex.org/W2168676717","https://openalex.org/W2764347725","https://openalex.org/W2798909945","https://openalex.org/W2962738101","https://openalex.org/W3099197349"],"related_works":["https://openalex.org/W2062195135","https://openalex.org/W2795079307","https://openalex.org/W2793058541","https://openalex.org/W2055929693","https://openalex.org/W1983629434","https://openalex.org/W4324271173","https://openalex.org/W1967645776","https://openalex.org/W2352227742","https://openalex.org/W4390679071","https://openalex.org/W1480923359"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}