{"id":"https://openalex.org/W1505245063","doi":"https://doi.org/10.1007/s11128-015-1205-8","title":"The discrete-time quaternionic quantum walk on a graph","display_name":"The discrete-time quaternionic quantum walk on a graph","publication_year":2015,"publication_date":"2015-12-12","ids":{"openalex":"https://openalex.org/W1505245063","doi":"https://doi.org/10.1007/s11128-015-1205-8","mag":"1505245063"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-015-1205-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-015-1205-8","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/A5063052904","display_name":"Norio Konno","orcid":"https://orcid.org/0000-0002-0213-6185"},"institutions":[{"id":"https://openalex.org/I180203408","display_name":"Yokohama National University","ror":"https://ror.org/03zyp6p76","country_code":"JP","type":"education","lineage":["https://openalex.org/I180203408"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Norio Konno","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Engineering, Yokohama National University, Hodogaya, Yokohama, 240-8501, Japan","Department of Applied Mathematics, Faculty of Engineering, Yokohama National University, Hodogaya, Yokohama, Japan 240-8501#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Engineering, Yokohama National University, Hodogaya, Yokohama, 240-8501, Japan","institution_ids":["https://openalex.org/I180203408"]},{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Engineering, Yokohama National University, Hodogaya, Yokohama, Japan 240-8501#TAB#","institution_ids":["https://openalex.org/I180203408"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003055246","display_name":"Hideo Mitsuhashi","orcid":null},"institutions":[{"id":"https://openalex.org/I207399273","display_name":"Utsunomiya University","ror":"https://ror.org/05bx1gz93","country_code":"JP","type":"education","lineage":["https://openalex.org/I207399273"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hideo Mitsuhashi","raw_affiliation_strings":["Faculty of Education, Utsunomiya University, Utsunomiya, Tochigi, 321-8505, Japan","Faculty of Education, Utsunomiya University, Utsunomiya, Japan 321-8505#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Education, Utsunomiya University, Utsunomiya, Tochigi, 321-8505, Japan","institution_ids":["https://openalex.org/I207399273"]},{"raw_affiliation_string":"Faculty of Education, Utsunomiya University, Utsunomiya, Japan 321-8505#TAB#","institution_ids":["https://openalex.org/I207399273"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101933458","display_name":"Iwao Sato","orcid":"https://orcid.org/0000-0002-6901-0894"},"institutions":[{"id":"https://openalex.org/I4210137284","display_name":"National Institute of Technology, Oyama College","ror":"https://ror.org/040mta007","country_code":"JP","type":"education","lineage":["https://openalex.org/I4210120810","https://openalex.org/I4210137284"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Iwao Sato","raw_affiliation_strings":["Oyama National College of Technology, Oyama, Tochigi, 323-0806, Japan","Oyama National College of Technology, Oyama, Japan 323-0806#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Oyama National College of Technology, Oyama, Tochigi, 323-0806, Japan","institution_ids":["https://openalex.org/I4210137284"]},{"raw_affiliation_string":"Oyama National College of Technology, Oyama, Japan 323-0806#TAB#","institution_ids":["https://openalex.org/I4210137284"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063052904"],"corresponding_institution_ids":["https://openalex.org/I180203408"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":4.0632,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.94225906,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"15","issue":"2","first_page":"651","last_page":"673"},"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9976000189781189,"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"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9805999994277954,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-walk","display_name":"Quantum walk","score":0.9694089889526367},{"id":"https://openalex.org/keywords/quaternionic-representation","display_name":"Quaternionic representation","score":0.8741227984428406},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7253546118736267},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6306899785995483},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4982931613922119},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4928412437438965},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.48084911704063416},{"id":"https://openalex.org/keywords/stochastic-matrix","display_name":"Stochastic matrix","score":0.4803270399570465},{"id":"https://openalex.org/keywords/unitary-matrix","display_name":"Unitary matrix","score":0.44169700145721436},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.4298860430717468},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.30917054414749146},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.30047792196273804},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19367879629135132}],"concepts":[{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.9694089889526367},{"id":"https://openalex.org/C25398135","wikidata":"https://www.wikidata.org/wiki/Q7269569","display_name":"Quaternionic representation","level":4,"score":0.8741227984428406},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7253546118736267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6306899785995483},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4982931613922119},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4928412437438965},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48084911704063416},{"id":"https://openalex.org/C49555168","wikidata":"https://www.wikidata.org/wiki/Q176583","display_name":"Stochastic matrix","level":3,"score":0.4803270399570465},{"id":"https://openalex.org/C96214315","wikidata":"https://www.wikidata.org/wiki/Q727103","display_name":"Unitary matrix","level":3,"score":0.44169700145721436},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.4298860430717468},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.30917054414749146},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.30047792196273804},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19367879629135132},{"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/C94618114","wikidata":"https://www.wikidata.org/wiki/Q7301169","display_name":"Real representation","level":3,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/C142292226","wikidata":"https://www.wikidata.org/wiki/Q13690522","display_name":"Irreducible representation","level":2,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-015-1205-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-015-1205-8","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":[],"awards":[{"id":"https://openalex.org/G7834671248","display_name":"Towards the construction of a unified theory of stochastic and quantum models on complex networks","funder_award_id":"15K13443","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W72698601","https://openalex.org/W170582878","https://openalex.org/W178039687","https://openalex.org/W617534583","https://openalex.org/W653833424","https://openalex.org/W1523808012","https://openalex.org/W1561605110","https://openalex.org/W1583065847","https://openalex.org/W1872909421","https://openalex.org/W1983756395","https://openalex.org/W2013603299","https://openalex.org/W2018938278","https://openalex.org/W2020750044","https://openalex.org/W2033772417","https://openalex.org/W2043558432","https://openalex.org/W2049433041","https://openalex.org/W2053609770","https://openalex.org/W2060941833","https://openalex.org/W2075567306","https://openalex.org/W2077767282","https://openalex.org/W2084652510","https://openalex.org/W2087529490","https://openalex.org/W2098653312","https://openalex.org/W2101697221","https://openalex.org/W2103213553","https://openalex.org/W2119354788","https://openalex.org/W2142193905","https://openalex.org/W2155404690","https://openalex.org/W2160185408","https://openalex.org/W2317366395","https://openalex.org/W2513393761","https://openalex.org/W3099087764","https://openalex.org/W3102327618","https://openalex.org/W3102617547","https://openalex.org/W3106020145","https://openalex.org/W3121428084","https://openalex.org/W3126996113","https://openalex.org/W3187249085","https://openalex.org/W4211028461","https://openalex.org/W4213281018","https://openalex.org/W4230837502","https://openalex.org/W4251636534","https://openalex.org/W4253313367"],"related_works":["https://openalex.org/W1505245063","https://openalex.org/W4287198719","https://openalex.org/W2951780427","https://openalex.org/W2342135250","https://openalex.org/W2963906479","https://openalex.org/W1999313313","https://openalex.org/W2111789608","https://openalex.org/W2499716529","https://openalex.org/W1568150511","https://openalex.org/W2963658971"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3}],"updated_date":"2026-08-15T07:11:24.734988","created_date":"2025-10-10T00:00:00"}