{"id":"https://openalex.org/W3215095750","doi":null,"title":"Eigenvalues of two-phase three-state quantum walks with one defect","display_name":"Eigenvalues of two-phase three-state quantum walks with one defect","publication_year":2021,"publication_date":"2021-11-29","ids":{"openalex":"https://openalex.org/W3215095750","mag":"3215095750"},"language":"en","primary_location":{"id":"mag:3215095750","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2111.14300","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2111.14300","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013630775","display_name":"Chusei Kiumi","orcid":"https://orcid.org/0000-0003-3283-394X","observed_orcids":["https://orcid.org/0000-0003-3283-394X"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Chusei Kiumi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5013630775"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9413999915122986,"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":0.9413999915122986,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.014100000262260437,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.010200000368058681,"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/quantum-walks","display_name":"quantum walks","score":0.9829999804496765},{"id":"https://openalex.org/keywords/eigenvalues","display_name":"eigenvalues","score":0.753000020980835},{"id":"https://openalex.org/keywords/localization","display_name":"localization","score":0.7229999899864197},{"id":"https://openalex.org/keywords/transfer-matrix","display_name":"transfer matrix","score":0.6880000233650208},{"id":"https://openalex.org/keywords/self-loops","display_name":"self-loops","score":0.8420000076293945},{"id":"https://openalex.org/keywords/one-dimensional-quantum-walk","display_name":"one-dimensional quantum walk","score":0.6639999747276306}],"concepts":[{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.8495673537254333},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.8424856066703796},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6465092301368713},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5733361840248108},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5714039206504822},{"id":"https://openalex.org/C122890649","wikidata":"https://www.wikidata.org/wiki/Q7834016","display_name":"Transfer matrix","level":2,"score":0.5049179196357727},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4697107672691345},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.4561059772968292},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45292818546295166},{"id":"https://openalex.org/C72434380","wikidata":"https://www.wikidata.org/wiki/Q230930","display_name":"State space","level":2,"score":0.43048354983329773},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.42626258730888367},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3963013291358948},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.3139301836490631},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2991284132003784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09384095668792725},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07591405510902405},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.05661705136299133},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:3215095750","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2111.14300","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:3215095750","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2111.14300","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1571862096","https://openalex.org/W1982213152","https://openalex.org/W1983756395","https://openalex.org/W1993128879","https://openalex.org/W2022080729","https://openalex.org/W2025956887","https://openalex.org/W2040927484","https://openalex.org/W2056390378","https://openalex.org/W2073297833","https://openalex.org/W2078736089","https://openalex.org/W2084652510","https://openalex.org/W2101697221","https://openalex.org/W2127608358","https://openalex.org/W2145841221","https://openalex.org/W2150979238","https://openalex.org/W2330575919","https://openalex.org/W2359776037","https://openalex.org/W2414587375","https://openalex.org/W2618276758","https://openalex.org/W2762936528","https://openalex.org/W2899676508","https://openalex.org/W2950163786","https://openalex.org/W2962700719","https://openalex.org/W2962792771","https://openalex.org/W2963486760","https://openalex.org/W2974081096","https://openalex.org/W2982330488","https://openalex.org/W3036044822","https://openalex.org/W3093451097","https://openalex.org/W3109754110","https://openalex.org/W3165729514","https://openalex.org/W3193727819","https://openalex.org/W3201437871","https://openalex.org/W7071764795","https://openalex.org/W7144012321"],"related_works":["https://openalex.org/W4224212152","https://openalex.org/W3093451097","https://openalex.org/W4388684640","https://openalex.org/W3165729514","https://openalex.org/W2359776037","https://openalex.org/W2974081096","https://openalex.org/W4365791365","https://openalex.org/W3216426318","https://openalex.org/W2963101507","https://openalex.org/W2962792771"],"abstract_inverted_index":{"Mathematical":[0],"analysis":[1],"on":[2],"the":[3,14,29,35,54,70,76,93,100],"existence":[4],"of":[5,16,24,53,79],"eigenvalues":[6],"is":[7,11,19,50],"essential":[8],"because":[9],"it":[10],"equivalent":[12],"to":[13],"occurrence":[15],"localization,":[17],"which":[18,49],"an":[20,51],"exceptionally":[21],"crucial":[22],"property":[23],"quantum":[25,41,83],"walks.":[26],"We":[27],"construct":[28],"method":[30],"for":[31,38,75],"eigenvalue":[32,77],"problem":[33,78],"via":[34],"transfer":[36],"matrix":[37],"space-inhomogeneous":[39],"$n$-state":[40],"walks":[42],"in":[43,56,92],"one":[44,86],"dimension":[45],"with":[46,85],"$n-2$":[47],"self-loops,":[48],"extension":[52],"technique":[55],"a":[57,80],"previous":[58],"study":[59],"(Quantum":[60],"Inf.":[61],"Process":[62],"20(5),":[63],"2021).":[64],"By":[65],"this":[66],"method,":[67],"we":[68],"reveal":[69],"necessary":[71],"and":[72,98],"sufficient":[73],"condition":[74],"two-phase":[81],"three-state":[82],"walk":[84],"defect":[87],"whose":[88],"time":[89],"evolution":[90],"varies":[91],"negative":[94],"part,":[95,97],"positive":[96],"at":[99],"origin.":[101]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2021-12-06T00:00:00"}