{"id":"https://openalex.org/W2982330488","doi":"https://doi.org/10.26421/qic19.11-12-1","title":"Stationary measure for three-state quantum walk","display_name":"Stationary measure for three-state quantum walk","publication_year":2019,"publication_date":"2019-09-01","ids":{"openalex":"https://openalex.org/W2982330488","doi":"https://doi.org/10.26421/qic19.11-12-1","mag":"2982330488"},"language":"en","primary_location":{"id":"doi:10.26421/qic19.11-12-1","is_oa":false,"landing_page_url":"https://doi.org/10.26421/qic19.11-12-1","pdf_url":null,"source":{"id":"https://openalex.org/S41034432","display_name":"Quantum Information and Computation","issn_l":"1533-7146","issn":["1533-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322612","host_organization_name":"Rinton Press","host_organization_lineage":["https://openalex.org/P4310322612"],"host_organization_lineage_names":["Rinton Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information and Computation","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/A5078180993","display_name":"Takako Endo","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Takako Endo","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051524948","display_name":"Takashi Komatsu","orcid":"https://orcid.org/0000-0002-4923-0080"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Takashi Komatsu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063052904","display_name":"Norio Konno","orcid":"https://orcid.org/0000-0002-0213-6185"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Norio Konno","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5054417226","display_name":"Tomoyuki Terada","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tomoyuki Terada","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5078180993"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7001,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78471672,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"19","issue":"11&12","first_page":"901","last_page":"912"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9984999895095825,"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":0.9984999895095825,"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":0.9819999933242798,"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/T10382","display_name":"Quantum and electron transport phenomena","score":0.9659000039100647,"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/measure","display_name":"Measure (data warehouse)","score":0.8345330953598022},{"id":"https://openalex.org/keywords/quantum-walk","display_name":"Quantum walk","score":0.798412024974823},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.7585316896438599},{"id":"https://openalex.org/keywords/stationary-state","display_name":"Stationary state","score":0.618670642375946},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5873815417289734},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5730800628662109},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5553490519523621},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4355045557022095},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.42719346284866333},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42686235904693604},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.4188382923603058},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.41287875175476074},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.40554484724998474},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.2556478977203369},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.24141570925712585},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24075597524642944},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20698514580726624},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.12983489036560059},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12811070680618286}],"concepts":[{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.8345330953598022},{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.798412024974823},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7585316896438599},{"id":"https://openalex.org/C47458137","wikidata":"https://www.wikidata.org/wiki/Q911951","display_name":"Stationary state","level":2,"score":0.618670642375946},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5873815417289734},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5730800628662109},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5553490519523621},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4355045557022095},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.42719346284866333},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42686235904693604},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.4188382923603058},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.41287875175476074},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.40554484724998474},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.2556478977203369},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.24141570925712585},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24075597524642944},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20698514580726624},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.12983489036560059},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12811070680618286},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.26421/qic19.11-12-1","is_oa":false,"landing_page_url":"https://doi.org/10.26421/qic19.11-12-1","pdf_url":null,"source":{"id":"https://openalex.org/S41034432","display_name":"Quantum Information and Computation","issn_l":"1533-7146","issn":["1533-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310322612","host_organization_name":"Rinton Press","host_organization_lineage":["https://openalex.org/P4310322612"],"host_organization_lineage_names":["Rinton Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.7699999809265137}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4221160056","https://openalex.org/W1990148425","https://openalex.org/W3015065480","https://openalex.org/W2035499096","https://openalex.org/W2297550529","https://openalex.org/W1991924571","https://openalex.org/W3124364789","https://openalex.org/W2952147420","https://openalex.org/W2484165007","https://openalex.org/W2604310082"],"abstract_inverted_index":{"We":[0,58],"focus":[1],"on":[2],"the":[3,16,24,30,39,45,49,65,69,74,84,88],"three-state":[4,70],"quantum":[5],"walk":[6],"(QW)":[7],"in":[8,19],"one":[9],"dimension.":[10],"In":[11],"this":[12],"paper,":[13],"we":[14,28,43],"give":[15],"stationary":[17,50,66,91],"measure":[18,51,67],"general":[20,46],"condition,":[21],"originated":[22],"from":[23],"eigenvalue":[25,40],"problem.":[26,41],"Firstly,":[27],"get":[29],"transfer":[31],"matrices":[32],"by":[33],"our":[34],"new":[35],"recipe,":[36],"and":[37,56,76],"solve":[38],"Then":[42],"obtain":[44],"form":[47],"of":[48,64,73,87,90],"for":[52,68],"concrete":[53],"initial":[54],"state":[55],"eigenvalue.":[57],"also":[59],"show":[60],"some":[61],"specific":[62],"examples":[63],"QW.":[71],"One":[72],"interesting":[75],"crucial":[77],"future":[78],"problems":[79],"is":[80],"to":[81],"make":[82],"clear":[83],"whole":[85],"picture":[86],"set":[89],"measures.":[92]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
