{"id":"https://openalex.org/W3128046251","doi":"https://doi.org/10.1007/s11128-021-02994-5","title":"Probability and entanglement evolutions for Szegedy\u2019s quantum search on the one-dimensional cycle with self-loops","display_name":"Probability and entanglement evolutions for Szegedy\u2019s quantum search on the one-dimensional cycle with self-loops","publication_year":2021,"publication_date":"2021-02-01","ids":{"openalex":"https://openalex.org/W3128046251","doi":"https://doi.org/10.1007/s11128-021-02994-5","mag":"3128046251"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-021-02994-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-021-02994-5","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"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":"Quantum Information Processing","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/A5008050455","display_name":"Mengke Xu","orcid":"https://orcid.org/0000-0001-8767-2173"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mengke Xu","raw_affiliation_strings":["School of Cyber Science and Engineering, Southeast University, Nanjing, 211189, China"],"raw_orcid":"https://orcid.org/0000-0001-8767-2173","affiliations":[{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing, 211189, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100421215","display_name":"Zhihao Liu","orcid":"https://orcid.org/0000-0002-3442-5141"},"institutions":[{"id":"https://openalex.org/I4210100356","display_name":"Ministry of Education","ror":"https://ror.org/018f7hf93","country_code":"CL","type":"government","lineage":["https://openalex.org/I4210100356"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CL","CN"],"is_corresponding":true,"raw_author_name":"Zhihao Liu","raw_affiliation_strings":["Key Laboratory of Computer Network and Information Integration (Southeast University),Ministry of Education, Nanjing, 211189, China","School of Computer Science and Engineering, Southeast University, Nanjing, 211189, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Computer Network and Information Integration (Southeast University),Ministry of Education, Nanjing, 211189, China","institution_ids":["https://openalex.org/I4210100356"]},{"raw_affiliation_string":"School of Computer Science and Engineering, Southeast University, Nanjing, 211189, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011504932","display_name":"Hanwu Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210100356","display_name":"Ministry of Education","ror":"https://ror.org/018f7hf93","country_code":"CL","type":"government","lineage":["https://openalex.org/I4210100356"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CL","CN"],"is_corresponding":true,"raw_author_name":"Hanwu Chen","raw_affiliation_strings":["Key Laboratory of Computer Network and Information Integration (Southeast University),Ministry of Education, Nanjing, 211189, China","School of Computer Science and Engineering, Southeast University, Nanjing, 211189, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Computer Network and Information Integration (Southeast University),Ministry of Education, Nanjing, 211189, China","institution_ids":["https://openalex.org/I4210100356"]},{"raw_affiliation_string":"School of Computer Science and Engineering, Southeast University, Nanjing, 211189, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038622446","display_name":"Sihao Zheng","orcid":null},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sihao Zheng","raw_affiliation_strings":["School of Cyber Science and Engineering, Southeast University, Nanjing, 211189, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Cyber Science and Engineering, Southeast University, Nanjing, 211189, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011504932","https://openalex.org/A5100421215"],"corresponding_institution_ids":["https://openalex.org/I4210100356","https://openalex.org/I76569877"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":0.2601,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.62616376,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"20","issue":"2","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":0.9998999834060669,"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":0.9998999834060669,"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":0.9983999729156494,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-walk","display_name":"Quantum walk","score":0.7471438050270081},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.6528608798980713},{"id":"https://openalex.org/keywords/von-neumann-entropy","display_name":"Von Neumann entropy","score":0.5382497310638428},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.502119779586792},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4691202938556671},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.45395299792289734},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4435919523239136},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.43641093373298645},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3120988607406616},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.30207210779190063},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.29924559593200684},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2719684839248657}],"concepts":[{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.7471438050270081},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6528608798980713},{"id":"https://openalex.org/C101973423","wikidata":"https://www.wikidata.org/wiki/Q6961323","display_name":"Von Neumann entropy","level":4,"score":0.5382497310638428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.502119779586792},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4691202938556671},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.45395299792289734},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4435919523239136},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.43641093373298645},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3120988607406616},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.30207210779190063},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.29924559593200684},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2719684839248657}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-021-02994-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-021-02994-5","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"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":"Quantum Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.47999998927116394}],"awards":[{"id":"https://openalex.org/G4647166069","display_name":null,"funder_award_id":"XYDXX-003","funder_id":"https://openalex.org/F4320326182","funder_display_name":"Six Talent Peaks Project in Jiangsu Province"},{"id":"https://openalex.org/G8289396639","display_name":null,"funder_award_id":"61502101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G830949516","display_name":"\u91cf\u5b50\u7ea0\u9519\u7801\u57fa\u7840\u7406\u8bba\u53ca\u5176\u5728\u91cf\u5b50\u901a\u4fe1\u534f\u8bae\u4e2d\u7684\u5e94\u7528\u7814\u7a76","funder_award_id":"61871120","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320326182","display_name":"Six Talent Peaks Project in Jiangsu Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1561344775","https://openalex.org/W1937789944","https://openalex.org/W2006309149","https://openalex.org/W2014620196","https://openalex.org/W2016453721","https://openalex.org/W2025956887","https://openalex.org/W2037431518","https://openalex.org/W2066577915","https://openalex.org/W2076663373","https://openalex.org/W2127608358","https://openalex.org/W2163036762","https://openalex.org/W2416472186","https://openalex.org/W2484165007","https://openalex.org/W2545262478","https://openalex.org/W2563622299","https://openalex.org/W2586861041","https://openalex.org/W2591743404","https://openalex.org/W2592442398","https://openalex.org/W2611458856","https://openalex.org/W2654805423","https://openalex.org/W2738443777","https://openalex.org/W2895829183","https://openalex.org/W2966409671","https://openalex.org/W2982484041","https://openalex.org/W3098276709","https://openalex.org/W3098941230","https://openalex.org/W3099745383","https://openalex.org/W3100722664","https://openalex.org/W3102057473","https://openalex.org/W3103704846","https://openalex.org/W3105292583","https://openalex.org/W4233090147","https://openalex.org/W4292058084","https://openalex.org/W4299601300"],"related_works":["https://openalex.org/W1989337171","https://openalex.org/W2034601108","https://openalex.org/W2766809791","https://openalex.org/W1971215616","https://openalex.org/W2405772622","https://openalex.org/W1978892902","https://openalex.org/W3102808252","https://openalex.org/W3106913270","https://openalex.org/W4300287227","https://openalex.org/W2764221095"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}