{"id":"https://openalex.org/W4323856860","doi":"https://doi.org/10.3390/a16030150","title":"A Machine Learning Study of High Robustness Quantum Walk Search Algorithm with Qudit Householder Coins","display_name":"A Machine Learning Study of High Robustness Quantum Walk Search Algorithm with Qudit Householder Coins","publication_year":2023,"publication_date":"2023-03-09","ids":{"openalex":"https://openalex.org/W4323856860","doi":"https://doi.org/10.3390/a16030150"},"language":"en","primary_location":{"id":"doi:10.3390/a16030150","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16030150","pdf_url":"https://www.mdpi.com/1999-4893/16/3/150/pdf?version=1678353223","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/16/3/150/pdf?version=1678353223","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080160440","display_name":"Hristo Tonchev","orcid":"https://orcid.org/0000-0002-6704-496X"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I2801620592","display_name":"Georgi Nadjakov Institute of Solid State Physics","ror":"https://ror.org/05t4n0c27","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I2801620592"]},{"id":"https://openalex.org/I4210116884","display_name":"Institute for Nuclear Research and Nuclear Energy","ror":"https://ror.org/0276rjc88","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210116884"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"Hristo Tonchev","raw_affiliation_strings":["Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigradsko Chauss\u00e9e, 1784 Sofia, Bulgaria","Institute of Solid State Physics, Bulgarian Academy of Sciences, 72 Tzarigradsko Chauss\u00e9e, 1784 Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigradsko Chauss\u00e9e, 1784 Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210116884","https://openalex.org/I24768866"]},{"raw_affiliation_string":"Institute of Solid State Physics, Bulgarian Academy of Sciences, 72 Tzarigradsko Chauss\u00e9e, 1784 Sofia, Bulgaria","institution_ids":["https://openalex.org/I2801620592","https://openalex.org/I24768866"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051487795","display_name":"Petar Danev","orcid":"https://orcid.org/0000-0002-9962-3704"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210116884","display_name":"Institute for Nuclear Research and Nuclear Energy","ror":"https://ror.org/0276rjc88","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210116884"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Petar Danev","raw_affiliation_strings":["Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigradsko Chauss\u00e9e, 1784 Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tzarigradsko Chauss\u00e9e, 1784 Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210116884","https://openalex.org/I24768866"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080160440"],"corresponding_institution_ids":["https://openalex.org/I24768866","https://openalex.org/I2801620592","https://openalex.org/I4210116884"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.3479,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63071099,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"16","issue":"3","first_page":"150","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":1.0,"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":1.0,"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":0.9990000128746033,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9937999844551086,"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/random-walk","display_name":"Random walk","score":0.7401883006095886},{"id":"https://openalex.org/keywords/quantum-walk","display_name":"Quantum walk","score":0.7061613202095032},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6757645606994629},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6431025266647339},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6032682657241821},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.4839251637458801},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4677337110042572},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4642297625541687},{"id":"https://openalex.org/keywords/monte-carlo-method","display_name":"Monte Carlo method","score":0.46246853470802307},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.45662108063697815},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4528546929359436},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.38592079281806946},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33508095145225525},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2312532663345337},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.21053528785705566}],"concepts":[{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.7401883006095886},{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.7061613202095032},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6757645606994629},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6431025266647339},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6032682657241821},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.4839251637458801},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4677337110042572},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4642297625541687},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.46246853470802307},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.45662108063697815},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4528546929359436},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.38592079281806946},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33508095145225525},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2312532663345337},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.21053528785705566},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/a16030150","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16030150","pdf_url":"https://www.mdpi.com/1999-4893/16/3/150/pdf?version=1678353223","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:9739f16a6301438c83efc9b0c29785be","is_oa":true,"landing_page_url":"https://doaj.org/article/9739f16a6301438c83efc9b0c29785be","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 16, Iss 3, p 150 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/16/3/150/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a16030150","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"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":"Algorithms; Volume 16; Issue 3; Pages: 150","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a16030150","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16030150","pdf_url":"https://www.mdpi.com/1999-4893/16/3/150/pdf?version=1678353223","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"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":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4323856860.pdf"},"referenced_works_count":53,"referenced_works":["https://openalex.org/W22189477","https://openalex.org/W589246141","https://openalex.org/W638834885","https://openalex.org/W1759810440","https://openalex.org/W1966092221","https://openalex.org/W1983143922","https://openalex.org/W2025721326","https://openalex.org/W2025956887","https://openalex.org/W2031374990","https://openalex.org/W2035627701","https://openalex.org/W2035915021","https://openalex.org/W2036221301","https://openalex.org/W2047969991","https://openalex.org/W2049603330","https://openalex.org/W2070891810","https://openalex.org/W2078806583","https://openalex.org/W2079014170","https://openalex.org/W2082576454","https://openalex.org/W2083959088","https://openalex.org/W2086733722","https://openalex.org/W2095331031","https://openalex.org/W2103520233","https://openalex.org/W2162204962","https://openalex.org/W2226110723","https://openalex.org/W2327107358","https://openalex.org/W2375200430","https://openalex.org/W2463093437","https://openalex.org/W2491515625","https://openalex.org/W2519245441","https://openalex.org/W2528642855","https://openalex.org/W2732475956","https://openalex.org/W2751437615","https://openalex.org/W2765369772","https://openalex.org/W2790066236","https://openalex.org/W2889227713","https://openalex.org/W2909168821","https://openalex.org/W2912581782","https://openalex.org/W2915659795","https://openalex.org/W2930987694","https://openalex.org/W2946525545","https://openalex.org/W2952638737","https://openalex.org/W2963204699","https://openalex.org/W2972666396","https://openalex.org/W2991258230","https://openalex.org/W3100711852","https://openalex.org/W3120151109","https://openalex.org/W3179283362","https://openalex.org/W3212248218","https://openalex.org/W4251755904","https://openalex.org/W4285010301","https://openalex.org/W4291247353","https://openalex.org/W4293812013","https://openalex.org/W6798072250"],"related_works":["https://openalex.org/W635539596","https://openalex.org/W131888345","https://openalex.org/W4289863690","https://openalex.org/W1684851900","https://openalex.org/W2962981807","https://openalex.org/W3152705436","https://openalex.org/W4313401824","https://openalex.org/W2089342336","https://openalex.org/W2949694831","https://openalex.org/W3114654323"],"abstract_inverted_index":{"In":[0],"this":[1],"work,":[2],"the":[3,51,59,76,80,110,123,135],"quantum":[4,52],"random":[5],"walk":[6,11,47],"search":[7],"algorithm":[8,53,81],"with":[9,30,39,99,129],"a":[10,114,120,140],"coin":[12,25,128],"constructed":[13],"by":[14,65,86],"generalized":[15],"Householder":[16,104],"reflection":[17],"and":[18,96,133],"phase":[19],"multiplier":[20],"has":[21],"been":[22],"studied.":[23],"The":[24,72],"register":[26],"is":[27,63],"one":[28],"qudit":[29],"an":[31,97,126,130],"arbitrary":[32,131],"dimension.":[33],"Monte":[34],"Carlo":[35],"simulations,":[36],"in":[37,58,84],"combination":[38],"supervised":[40],"machine":[41],"learning,":[42],"are":[43,82],"used":[44],"to":[45,56],"find":[46],"coins":[48,100],"that":[49,74],"make":[50,119],"more":[54],"robust":[55],"deviations":[57],"coin\u2019s":[60],"parameters.":[61,71],"This":[62],"achieved":[64],"introducing":[66],"functional":[67],"dependence":[68],"between":[69,93],"these":[70],"functions":[73],"give":[75],"best":[77],"performance":[78],"of":[79,109,125],"studied":[83],"detail":[85],"numerical":[87],"statistical":[88],"methods.":[89],"A":[90],"thorough":[91],"comparison":[92],"our":[94],"modification":[95],"algorithm,":[98],"made":[101],"using":[102],"only":[103],"reflection,":[105],"shows":[106],"significant":[107],"advantages":[108],"former.":[111],"By":[112],"applying":[113],"deep":[115],"neural":[116],"network,":[117],"we":[118],"prediction":[121],"for":[122,138],"parameters":[124],"optimal":[127],"size":[132],"estimate":[134],"algorithm\u2019s":[136],"stability":[137],"such":[139],"coin.":[141]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
