{"id":"https://openalex.org/W196019043","doi":"https://doi.org/10.48550/arxiv.1208.1987","title":"Shor's algorithm without partial fractions","display_name":"Shor's algorithm without partial fractions","publication_year":2012,"publication_date":"2012-08-09","ids":{"openalex":"https://openalex.org/W196019043","doi":"https://doi.org/10.48550/arxiv.1208.1987","mag":"196019043"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1208.1987","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1208.1987","pdf_url":"https://arxiv.org/pdf/1208.1987","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","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1208.1987","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036830265","display_name":"Nolan R. Wallach","orcid":"https://orcid.org/0000-0002-0656-2421","observed_orcids":["https://orcid.org/0000-0002-0656-2421"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Wallach, Nolan R.","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5036830265"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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":0.9970999956130981,"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"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","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/T10020","display_name":"Quantum Information and Cryptography","score":0.0010999999940395355,"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":0.00019999999494757503,"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/shor-s-algorithm","display_name":"Shor's algorithm","score":1.0},{"id":"https://openalex.org/keywords/quantum-fourier-transform","display_name":"quantum Fourier transform","score":0.8939999938011169},{"id":"https://openalex.org/keywords/polynomial-time-complexity","display_name":"polynomial complexity","score":0.6019999980926514},{"id":"https://openalex.org/keywords/quantum-algorithms","display_name":"quantum algorithms","score":0.4729999899864197},{"id":"https://openalex.org/keywords/trigonometric-identities","display_name":"trigonometric identities","score":0.5199999809265137}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5289102792739868},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46851181983947754}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:1208.1987","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1208.1987","pdf_url":"https://arxiv.org/pdf/1208.1987","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.1208.1987","doi":"https://doi.org/10.48550/arxiv.1208.1987","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1208.1987","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":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1208.1987","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1208.1987","pdf_url":"https://arxiv.org/pdf/1208.1987","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":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626"],"abstract_inverted_index":{"The":[0],"purpose":[1],"of":[2],"this":[3],"note":[4],"was":[5,35],"to":[6,38],"give":[7],"a":[8],"proof":[9],"that":[10,34],"Shor's":[11],"algorithm":[12],"for":[13],"period":[14],"search":[15],"is":[16,31],"polynomial":[17],"using":[18],"only":[19],"the":[20,39],"standard":[21],"$2^{n}$":[22],"quantum":[23],"Fourier":[24],"thansform":[25],"and":[26],"some":[27],"simple":[28],"trigonometry.":[29],"There":[30],"an":[32],"error":[33],"pointed":[36],"out":[37],"author":[40],"by":[41],"Pavel":[42],"Wocjan.":[43]},"counts_by_year":[],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}