{"id":"https://openalex.org/W7204227727","doi":"https://doi.org/10.21203/rs.3.rs-10522134/v1","title":"Implementation of the Quantum Fourier Transform in Quantum Optical Processors Using Linear Optics with Imperfect Circuits","display_name":"Implementation of the Quantum Fourier Transform in Quantum Optical Processors Using Linear Optics with Imperfect Circuits","publication_year":2026,"publication_date":"2026-08-26","ids":{"openalex":"https://openalex.org/W7204227727","doi":"https://doi.org/10.21203/rs.3.rs-10522134/v1"},"language":"en","primary_location":{"id":"doi:10.21203/rs.3.rs-10522134/v1","doi":"https://doi.org/10.21203/rs.3.rs-10522134/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-10522134/v1","pdf_url":"https://www.researchsquare.com/article/rs-10522134/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Research Square","raw_type":"posted-content"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.researchsquare.com/article/rs-10522134/latest.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066273517","display_name":"Mohammad Bayat","orcid":"https://orcid.org/0000-0003-1465-0015","observed_orcids":["https://orcid.org/0000-0003-1465-0015"]},"institutions":[{"id":"https://openalex.org/I35510649","display_name":"Arak University","ror":"https://ror.org/00ngrq502","country_code":"IR","type":"education","lineage":["https://openalex.org/I35510649"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mohammad Bayat","raw_affiliation_strings":["Arak University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Arak University","institution_ids":["https://openalex.org/I35510649"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005151015","display_name":"Mehran Gholipour Shahraki","orcid":"https://orcid.org/0000-0001-6452-424X","observed_orcids":["https://orcid.org/0000-0001-6452-424X"]},"institutions":[{"id":"https://openalex.org/I35510649","display_name":"Arak University","ror":"https://ror.org/00ngrq502","country_code":"IR","type":"education","lineage":["https://openalex.org/I35510649"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mehran Gholipour Shahraki","raw_affiliation_strings":["Arak University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Arak University","institution_ids":["https://openalex.org/I35510649"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103235496","display_name":"Mehdi Mirzaee","orcid":"https://orcid.org/0000-0002-9678-7105","observed_orcids":["https://orcid.org/0000-0002-9678-7105"]},"institutions":[{"id":"https://openalex.org/I35510649","display_name":"Arak University","ror":"https://ror.org/00ngrq502","country_code":"IR","type":"education","lineage":["https://openalex.org/I35510649"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Mehdi Mirzaee","raw_affiliation_strings":["Arak University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Arak University","institution_ids":["https://openalex.org/I35510649"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I35510649"],"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":0.9667999744415283,"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":0.9667999744415283,"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":0.031300000846385956,"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":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/quantum-fourier-transform","display_name":"quantum Fourier transform","score":0.9760000109672546},{"id":"https://openalex.org/keywords/linear-optical-quantum-computing","display_name":"linear optical quantum computing","score":0.7609999775886536},{"id":"https://openalex.org/keywords/cooley-tukey-algorithm","display_name":"Cooley-Tukey algorithm","score":0.8920000195503235},{"id":"https://openalex.org/keywords/phase-error","display_name":"phase error","score":0.9160000085830688},{"id":"https://openalex.org/keywords/optical-path-difference","display_name":"optical path difference","score":0.9120000004768372},{"id":"https://openalex.org/keywords/qubit-number-scaling","display_name":"qubit number scaling","score":0.5049999952316284}],"concepts":[{"id":"https://openalex.org/C59500034","wikidata":"https://www.wikidata.org/wiki/Q1464944","display_name":"Quantum Fourier transform","level":5,"score":0.6782000064849854},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6026999950408936},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.49230000376701355},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.4790000021457672},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.477400004863739},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.47269999980926514},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.45719999074935913},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.45019999146461487},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4259999990463257},{"id":"https://openalex.org/C68717125","wikidata":"https://www.wikidata.org/wiki/Q735602","display_name":"Quantum optics","level":2,"score":0.4000999927520752},{"id":"https://openalex.org/C31872934","wikidata":"https://www.wikidata.org/wiki/Q1417028","display_name":"Optical path","level":2,"score":0.3928000032901764},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.3797999918460846},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3785000145435333},{"id":"https://openalex.org/C58849907","wikidata":"https://www.wikidata.org/wiki/Q2118982","display_name":"Quantum gate","level":4,"score":0.3560999929904938},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.3424000144004822},{"id":"https://openalex.org/C2987822364","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information processing","level":3,"score":0.33250001072883606},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3301999866962433},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.31459999084472656},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31360000371932983},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.30320000648498535},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.296999990940094},{"id":"https://openalex.org/C154236941","wikidata":"https://www.wikidata.org/wiki/Q942347","display_name":"Physical optics","level":2,"score":0.29109999537467957},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.290800005197525},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.28529998660087585},{"id":"https://openalex.org/C191711199","wikidata":"https://www.wikidata.org/wiki/Q1003236","display_name":"Fourier optics","level":3,"score":0.28360000252723694},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2833000123500824},{"id":"https://openalex.org/C49040817","wikidata":"https://www.wikidata.org/wiki/Q193091","display_name":"Optoelectronics","level":1,"score":0.2831000089645386},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.2743000090122223},{"id":"https://openalex.org/C148204187","wikidata":"https://www.wikidata.org/wiki/Q176541","display_name":"Optical computing","level":2,"score":0.2741999924182892},{"id":"https://openalex.org/C2984692560","wikidata":"https://www.wikidata.org/wiki/Q523846","display_name":"Integrated optics","level":2,"score":0.2736000120639801},{"id":"https://openalex.org/C22783969","wikidata":"https://www.wikidata.org/wiki/Q1475329","display_name":"Optical path length","level":2,"score":0.27149999141693115},{"id":"https://openalex.org/C194232370","wikidata":"https://www.wikidata.org/wiki/Q162","display_name":"Optical fiber","level":2,"score":0.2599000036716461},{"id":"https://openalex.org/C166689943","wikidata":"https://www.wikidata.org/wiki/Q850283","display_name":"Interferometry","level":2,"score":0.2549999952316284},{"id":"https://openalex.org/C186468114","wikidata":"https://www.wikidata.org/wiki/Q836478","display_name":"Quantum network","level":4,"score":0.25189998745918274},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.2500999867916107}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.21203/rs.3.rs-10522134/v1","doi":"https://doi.org/10.21203/rs.3.rs-10522134/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-10522134/v1","pdf_url":"https://www.researchsquare.com/article/rs-10522134/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Research Square","raw_type":"posted-content"}],"best_oa_location":{"id":"doi:10.21203/rs.3.rs-10522134/v1","doi":"https://doi.org/10.21203/rs.3.rs-10522134/v1","is_oa":true,"landing_page_url":"https://doi.org/10.21203/rs.3.rs-10522134/v1","pdf_url":"https://www.researchsquare.com/article/rs-10522134/latest.pdf","source":{"id":"https://openalex.org/S4306525896","display_name":"Research Square","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"Research Square","raw_type":"posted-content"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7204227727.pdf","grobid_xml":"https://content.openalex.org/works/W7204227727.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W1967037487"],"related_works":["https://openalex.org/W6941086726","https://openalex.org/W2006720489","https://openalex.org/W2064447219","https://openalex.org/W2161218686","https://openalex.org/W3100920002","https://openalex.org/W2112488220","https://openalex.org/W2598013432","https://openalex.org/W2401014592","https://openalex.org/W2241559523","https://openalex.org/W2318818351"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"paper":[2],"investigates":[3],"the":[4,7,17,24,63],"implementation":[5],"of":[6,26],"Quantum":[8],"Fourier":[9],"Transform":[10],"(QFT)":[11],"using":[12],"linear":[13],"optical":[14,34,42],"devices":[15],"and":[16,29,54],"Cooley-Tukey":[18],"algorithm,":[19],"with":[20,51],"a":[21,59],"focus":[22],"on":[23],"impact":[25],"device":[27],"imperfections":[28,48],"phase":[30],"errors":[31],"due":[32],"to":[33],"path":[35],"differences.":[36],"It":[37],"examines":[38],"real-world":[39],"defects":[40],"in":[41],"gate":[43],"circuits,":[44],"systematically":[45],"analyzing":[46],"these":[47],"for":[49,62],"systems":[50],"two,":[52],"three,":[53],"general":[55],"\u03b3-qubit":[56,64],"states,":[57],"providing":[58],"comprehensive":[60],"formula":[61],"case.":[65]},"counts_by_year":[],"updated_date":"2026-11-09T13:22:03.289127","created_date":"2026-08-27T00:00:00"}