{"id":"https://openalex.org/W1761661950","doi":"https://doi.org/10.26421/qic14.13-14-11","title":"Stability of point spectrum for three-state quantum walks on a line","display_name":"Stability of point spectrum for three-state quantum walks on a line","publication_year":2014,"publication_date":"2014-10-01","ids":{"openalex":"https://openalex.org/W1761661950","doi":"https://doi.org/10.26421/qic14.13-14-11","mag":"1761661950"},"language":"en","primary_location":{"id":"doi:10.26421/qic14.13-14-11","is_oa":false,"landing_page_url":"https://doi.org/10.26421/qic14.13-14-11","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/A5031800369","display_name":"M. \u0160tefa\u0148\u00e1k","orcid":"https://orcid.org/0000-0002-0433-7765"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Martin \u0160tefa\u0148\u00e1k","raw_affiliation_strings":["Department of physics, Faculty of nuclear sciences and physical engineering, Czech Technical University in Prague, Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of physics, Faculty of nuclear sciences and physical engineering, Czech Technical University in Prague, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113840595","display_name":"Iva Bezd\u011bkov\u00e1","orcid":null},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Iva Bezd\u011bkov\u00e1","raw_affiliation_strings":["Department of physics, Faculty of nuclear sciences and physical engineering, Czech Technical University in Prague, Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of physics, Faculty of nuclear sciences and physical engineering, Czech Technical University in Prague, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063228608","display_name":"Igor Jex","orcid":"https://orcid.org/0000-0001-6802-9852"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Igor Jex","raw_affiliation_strings":["Department of physics, Faculty of nuclear sciences and physical engineering, Czech Technical University in Prague, Prague, Czech Republic"],"affiliations":[{"raw_affiliation_string":"Department of physics, Faculty of nuclear sciences and physical engineering, Czech Technical University in Prague, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085565215","display_name":"Stephen M. Barnett","orcid":"https://orcid.org/0000-0003-0733-4524"},"institutions":[{"id":"https://openalex.org/I7882870","display_name":"University of Glasgow","ror":"https://ror.org/00vtgdb53","country_code":"GB","type":"education","lineage":["https://openalex.org/I7882870"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Stephen M. Barnett","raw_affiliation_strings":["School of Physics & Astronomy, University of Glasgow, Glasgow, Scotland, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Physics & Astronomy, University of Glasgow, Glasgow, Scotland, UK#TAB#","institution_ids":["https://openalex.org/I7882870"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5031800369"],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":null,"apc_paid":null,"fwci":2.1143,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.88984006,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"14","issue":"13&14","first_page":"1219","last_page":"1226"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9830999970436096,"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":0.9388999938964844,"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":0.8826290369033813},{"id":"https://openalex.org/keywords/spectrum","display_name":"Spectrum (functional analysis)","score":0.6438091993331909},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5911215543746948},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5671066045761108},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.5520517826080322},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.5124078392982483},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.508623480796814},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4997563362121582},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.47898435592651367},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.46709153056144714},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.44398272037506104},{"id":"https://openalex.org/keywords/stationary-state","display_name":"Stationary state","score":0.4170755445957184},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3956184387207031},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33001282811164856},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.2989756464958191},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.24981114268302917},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21591722965240479},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12705525755882263},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.07387787103652954},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06239199638366699}],"concepts":[{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.8826290369033813},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.6438091993331909},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5911215543746948},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5671066045761108},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.5520517826080322},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5124078392982483},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.508623480796814},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4997563362121582},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.47898435592651367},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.46709153056144714},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.44398272037506104},{"id":"https://openalex.org/C47458137","wikidata":"https://www.wikidata.org/wiki/Q911951","display_name":"Stationary state","level":2,"score":0.4170755445957184},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3956184387207031},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33001282811164856},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.2989756464958191},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.24981114268302917},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21591722965240479},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12705525755882263},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.07387787103652954},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06239199638366699},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.26421/qic14.13-14-11","is_oa":false,"landing_page_url":"https://doi.org/10.26421/qic14.13-14-11","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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1905918643","https://openalex.org/W1966092221","https://openalex.org/W1984066085","https://openalex.org/W1990940849","https://openalex.org/W1993128879","https://openalex.org/W1998160863","https://openalex.org/W1999799374","https://openalex.org/W2020275424","https://openalex.org/W2022080729","https://openalex.org/W2027992099","https://openalex.org/W2035659219","https://openalex.org/W2053292775","https://openalex.org/W2060973852","https://openalex.org/W2064321770","https://openalex.org/W2074808661","https://openalex.org/W2077461478","https://openalex.org/W2097091114","https://openalex.org/W2101697221","https://openalex.org/W2119006096","https://openalex.org/W2137582447","https://openalex.org/W2156029098","https://openalex.org/W2962719226","https://openalex.org/W3084106382","https://openalex.org/W3101890301","https://openalex.org/W3103912943"],"related_works":["https://openalex.org/W4221160056","https://openalex.org/W2035499096","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/W2604310082"],"abstract_inverted_index":{"Evolution":[0],"operators":[1,63],"of":[2,18,29,35,42,61,72,76,90],"certain":[3],"quantum":[4,47,96],"walks":[5,48],"possess,":[6],"apart":[7],"from":[8],"the":[9,21,30,33,36,40,66,87],"continuous":[10],"part,":[11],"also":[12],"a":[13,50],"point":[14,67],"spectrum.":[15,68],"The":[16],"existence":[17],"eigenvalues":[19],"and":[20,83],"corresponding":[22],"stationary":[23],"states":[24],"lead":[25],"to":[26,53],"partial":[27],"trapping":[28],"walker":[31],"in":[32],"vicinity":[34],"origin.":[37],"We":[38,57],"analyze":[39],"stability":[41],"this":[43],"feature":[44],"for":[45],"three-state":[46],"on":[49,86],"line":[51],"subject":[52],"homogenous":[54],"coin":[55,62],"deformations.":[56],"find":[58],"two":[59],"classes":[60,71],"that":[64,92],"preserve":[65],"These":[69],"new":[70],"coins":[73,77,91],"are":[74],"generalizations":[75],"found":[78],"previously":[79],"by":[80],"different":[81],"methods":[82],"shed":[84],"light":[85],"rich":[88],"spectrum":[89],"can":[93],"drive":[94],"discrete-time":[95],"walks.":[97]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}