{"id":"https://openalex.org/W1696876235","doi":"https://doi.org/10.1007/s11128-015-1127-5","title":"Properties of long quantum walks in one and two dimensions","display_name":"Properties of long quantum walks in one and two dimensions","publication_year":2015,"publication_date":"2015-09-22","ids":{"openalex":"https://openalex.org/W1696876235","doi":"https://doi.org/10.1007/s11128-015-1127-5","mag":"1696876235"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-015-1127-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-015-1127-5","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/A5064357385","display_name":"Hao Luo","orcid":"https://orcid.org/0000-0001-7146-9736"},"institutions":[{"id":"https://openalex.org/I78988378","display_name":"Renmin University of China","ror":"https://ror.org/041pakw92","country_code":"CN","type":"education","lineage":["https://openalex.org/I78988378"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Luo","raw_affiliation_strings":["Department of Physics, Renmin University, Beijing, 100872, People\u2019s Republic of China","Department of Physics, Renmin University, Beijing, People's Republic of China 100872#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Renmin University, Beijing, 100872, People\u2019s Republic of China","institution_ids":["https://openalex.org/I78988378"]},{"raw_affiliation_string":"Department of Physics, Renmin University, Beijing, People's Republic of China 100872#TAB#","institution_ids":["https://openalex.org/I78988378"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034580482","display_name":"Peng Xue","orcid":"https://orcid.org/0000-0002-4272-2883"},"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":true,"raw_author_name":"Peng Xue","raw_affiliation_strings":["Department of Physics, Southeast University, Nanjing, 211189, People\u2019s Republic of China","Department of Physics, Southeast University, Nanjing, People's Republic of China 211189#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, Southeast University, Nanjing, 211189, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Department of Physics, Southeast University, Nanjing, People's Republic of China 211189#TAB#","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034580482"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":0.527,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.80903502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"14","issue":"12","first_page":"4361","last_page":"4394"},"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":0.9983999729156494,"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":0.9962999820709229,"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-walk","display_name":"Quantum walk","score":0.9529823064804077},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.6929163932800293},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6295655369758606},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.6077679395675659},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5840126276016235},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.538043737411499},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.5242609977722168},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.5173291563987732},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5129522681236267},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4436694085597992},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4377540349960327},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.3342619240283966},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.31191033124923706},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2646266222000122},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1415805220603943},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13646212220191956},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09104067087173462},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0662502646446228}],"concepts":[{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.9529823064804077},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.6929163932800293},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6295655369758606},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.6077679395675659},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5840126276016235},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.538043737411499},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.5242609977722168},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.5173291563987732},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5129522681236267},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4436694085597992},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4377540349960327},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3342619240283966},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.31191033124923706},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2646266222000122},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1415805220603943},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13646212220191956},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09104067087173462},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0662502646446228},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-015-1127-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-015-1127-5","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":[],"awards":[{"id":"https://openalex.org/G448249215","display_name":"\u5168\u5149\u91cf\u5b50\u4fe1\u606f\u5904\u7406\u5668\u7684\u5b9e\u9a8c\u7814\u7a76","funder_award_id":"11474049","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6412482930","display_name":"\u91cf\u5b50\u78c1\u6027\u4f53\u7cfb\u7684\u524d\u6cbf\u7406\u8bba\u7814\u7a76","funder_award_id":"11174365","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6892800890","display_name":null,"funder_award_id":"11174052","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G78289241","display_name":null,"funder_award_id":"2012CB921704","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G8910407725","display_name":null,"funder_award_id":"2011CB921203","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program 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/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1519689626","https://openalex.org/W1536097828","https://openalex.org/W1832024831","https://openalex.org/W1966092221","https://openalex.org/W1973321785","https://openalex.org/W1980903794","https://openalex.org/W1983187450","https://openalex.org/W1984066085","https://openalex.org/W1987979370","https://openalex.org/W1996104941","https://openalex.org/W1998160863","https://openalex.org/W1998758991","https://openalex.org/W1999799374","https://openalex.org/W2004511163","https://openalex.org/W2005268019","https://openalex.org/W2009948449","https://openalex.org/W2020275424","https://openalex.org/W2020750044","https://openalex.org/W2022780387","https://openalex.org/W2025956887","https://openalex.org/W2026090113","https://openalex.org/W2027992099","https://openalex.org/W2033923248","https://openalex.org/W2036663580","https://openalex.org/W2056390378","https://openalex.org/W2056511241","https://openalex.org/W2058579524","https://openalex.org/W2067639709","https://openalex.org/W2070072241","https://openalex.org/W2074808661","https://openalex.org/W2077461478","https://openalex.org/W2101697221","https://openalex.org/W2103520233","https://openalex.org/W2127608358","https://openalex.org/W2150269682","https://openalex.org/W2160185408","https://openalex.org/W2163733821","https://openalex.org/W2298943946","https://openalex.org/W2317732266","https://openalex.org/W3098070095","https://openalex.org/W3104348697","https://openalex.org/W3105694475","https://openalex.org/W3106020145"],"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/W4300451787","https://openalex.org/W2950820294"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":5},{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
