{"id":"https://openalex.org/W4388327724","doi":"https://doi.org/10.48550/arxiv.2311.00409","title":"Polyander visualization of quantum walks","display_name":"Polyander visualization of quantum walks","publication_year":2023,"publication_date":"2023-11-01","ids":{"openalex":"https://openalex.org/W4388327724","doi":"https://doi.org/10.48550/arxiv.2311.00409"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2311.00409","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2311.00409","pdf_url":"https://arxiv.org/pdf/2311.00409","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":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2311.00409","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067596742","display_name":"Steven Anatolievich Duplij","orcid":"https://orcid.org/0000-0003-1184-6952","observed_orcids":["https://orcid.org/0000-0003-1184-6952"]},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Duplij, Steven","raw_affiliation_strings":["Center for Information Technology , Universit\u00e4t M\u00fcnster , R\u00f6ntgenstrasse 7-13 D-48149 M\u00fcnster , Deutschland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Information Technology , Universit\u00e4t M\u00fcnster , R\u00f6ntgenstrasse 7-13 D-48149 M\u00fcnster , Deutschland","institution_ids":["https://openalex.org/I22465464"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023346043","display_name":"Raimund Vogl","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I22465464","display_name":"University of M\u00fcnster","ror":"https://ror.org/00pd74e08","country_code":"DE","type":"education","lineage":["https://openalex.org/I22465464"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Vogl, Raimund","raw_affiliation_strings":["Center for Information Technology , Universit\u00e4t M\u00fcnster , R\u00f6ntgenstrasse 7-13 D-48149 M\u00fcnster , Deutschland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Information Technology , Universit\u00e4t M\u00fcnster , R\u00f6ntgenstrasse 7-13 D-48149 M\u00fcnster , Deutschland","institution_ids":["https://openalex.org/I22465464"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I22465464"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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":0.9955999851226807,"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":0.9955999851226807,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.001500000013038516,"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"}},{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.0003000000142492354,"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-walks","display_name":"quantum walks","score":0.8999999761581421},{"id":"https://openalex.org/keywords/quantum-state-visualization","display_name":"quantum state visualization","score":0.5870000123977661},{"id":"https://openalex.org/keywords/dna-visualization","display_name":"DNA visualization","score":0.5109999775886536},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.9520000219345093}],"concepts":[{"id":"https://openalex.org/C140058369","wikidata":"https://www.wikidata.org/wiki/Q7269113","display_name":"Quantum walk","level":4,"score":0.9361003637313843},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.5479061007499695},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.5394526124000549},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.5357930064201355},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.5088313221931458},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4833909571170807},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.46308785676956177},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.43056467175483704},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.4303198754787445},{"id":"https://openalex.org/C165973109","wikidata":"https://www.wikidata.org/wiki/Q894014","display_name":"Quantum probability","level":5,"score":0.4220414161682129},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32867568731307983},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.31562286615371704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3124341368675232},{"id":"https://openalex.org/C11255438","wikidata":"https://www.wikidata.org/wiki/Q7269085","display_name":"Quantum process","level":4,"score":0.29289859533309937},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2699449956417084},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.18421822786331177},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09099039435386658}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2311.00409","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2311.00409","pdf_url":"https://arxiv.org/pdf/2311.00409","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":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2311.00409","doi":"https://doi.org/10.48550/arxiv.2311.00409","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2311.00409","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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2311.00409","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2311.00409","pdf_url":"https://arxiv.org/pdf/2311.00409","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":null,"raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388327724.pdf","grobid_xml":"https://content.openalex.org/works/W4388327724.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2089342336","https://openalex.org/W3114654323","https://openalex.org/W1968287309","https://openalex.org/W2883913628","https://openalex.org/W2800432156","https://openalex.org/W1566596544","https://openalex.org/W2009948449","https://openalex.org/W638834885","https://openalex.org/W4320736706","https://openalex.org/W3127020915"],"abstract_inverted_index":{"We":[0],"investigate":[1],"quantum":[2,25,33,37,63,97],"walks":[3,26],"which":[4,59],"play":[5],"an":[6],"important":[7],"role":[8],"in":[9,69,79],"the":[10,23,31,40,43,48,55,72,89,95],"modelling":[11],"of":[12,36,39,71,77,84],"many":[13],"phenomena.":[14],"The":[15,82],"detailed":[16],"and":[17,42,66,88],"thorough":[18],"description":[19,65],"is":[20],"given":[21],"to":[22,47],"discrete":[24],"on":[27],"a":[28],"line,":[29],"where":[30],"total":[32],"state":[34],"consists":[35],"states":[38,86],"walker":[41,50],"coin.":[44],"In":[45],"addition":[46],"standard":[49],"probability":[51,57],"distribution,":[52],"we":[53],"introduce":[54],"coin":[56],"distribution":[58],"gives":[60],"more":[61],"complete":[62],"walk":[64],"novel":[67],"visualization":[68],"terms":[70],"so":[73],"called":[74],"polyanders":[75],"(analogs":[76],"trianders":[78],"DNA":[80],"visualization).":[81],"methods":[83],"final":[85],"computation":[87],"Fourier":[90],"transform":[91],"are":[92],"presented":[93],"for":[94],"Hadamard":[96],"walk.":[98]},"counts_by_year":[],"updated_date":"2026-09-30T09:27:27.532063","created_date":"2025-10-10T00:00:00"}