{"id":"https://openalex.org/W7153093502","doi":"https://doi.org/10.48550/arxiv.2604.07954","title":"Quantum Property Testing for Bounded-Degree Directed Graphs","display_name":"Quantum Property Testing for Bounded-Degree Directed Graphs","publication_year":2026,"publication_date":"2026-04-09","ids":{"openalex":"https://openalex.org/W7153093502","doi":"https://doi.org/10.48550/arxiv.2604.07954"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.07954","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.07954","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.07954","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5133373726","display_name":"Pan Peng","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Peng, Pan","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5133349038","display_name":"Jingyu Wu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wu, Jingyu","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5133373726"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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":0.9649999737739563,"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":0.9649999737739563,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.013000000268220901,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.01140000019222498,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6485999822616577},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.6236000061035156},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5636000037193298},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.5455999970436096},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.508899986743927},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4968000054359436},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4472000002861023},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.43860000371932983},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.38429999351501465}],"concepts":[{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6485999822616577},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.6236000061035156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5683000087738037},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5636000037193298},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.5455999970436096},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.508899986743927},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4968000054359436},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46549999713897705},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4472000002861023},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43860000371932983},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.38429999351501465},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3555999994277954},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3508000075817108},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.3476000130176544},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3142000138759613},{"id":"https://openalex.org/C192122513","wikidata":"https://www.wikidata.org/wiki/Q2835770","display_name":"Quantum phase estimation algorithm","level":5,"score":0.3116999864578247},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.30559998750686646},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.29789999127388},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28110000491142273},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.2809999883174896},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.26829999685287476},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.26409998536109924},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.26330000162124634},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.25949999690055847},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.25920000672340393},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.2563999891281128},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.2529999911785126}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.07954","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.07954","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.07954","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.07954","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"We":[0],"study":[1],"quantum":[2,55,74,115,162],"property":[3,28,99],"testing":[4],"for":[5],"directed":[6],"graphs":[7],"with":[8,33],"maximum":[9],"in-degree":[10],"and":[11,44],"out-degree":[12],"bounded":[13],"by":[14,95],"some":[15],"universal":[16],"constant":[17],"$d$.":[18],"For":[19],"a":[20,124,134],"proximity":[21],"parameter":[22],"$\\varepsilon$,":[23],"we":[24,87,136],"show":[25,137],"that":[26,29,89,101,126,138],"any":[27,148],"can":[30,49,152],"be":[31,51,153],"tested":[32,52],"$O_{\\varepsilon,d}(1)$":[34],"queries":[35,107,116],"in":[36,53,82,108,117,139],"the":[37,54,77,83,109,118,140,143],"classical":[38,80,106],"bidirectional":[39,110],"model,":[40,57,111,120,142],"where":[41,58,121],"both":[42],"incoming":[43],"outgoing":[45,60],"edges":[46,61],"are":[47,62],"accessible,":[48,63],"also":[50],"unidirectional":[56,84,119,141],"only":[59],"using":[64,160],"$n^{1/2":[65],"-":[66],"\u03a9_{\\varepsilon,d}(1)}$":[67],"queries.":[68,163],"This":[69],"yields":[70],"an":[71,97],"almost":[72,93],"quadratic":[73],"speedup":[75],"over":[76],"best":[78],"known":[79],"algorithms":[81],"model.":[85],"Moreover,":[86],"prove":[88],"our":[90],"transformation":[91],"is":[92,102,123],"tight":[94],"giving":[96],"explicit":[98],"$P_\\varepsilon$":[100],"$\\varepsilon$-testable":[103],"within":[104],"$O_\\varepsilon(1)$":[105],"but":[112],"requires":[113],"$\\widetilde\u03a9(n^{1/2-f'(\\varepsilon)})$":[114],"$f'(\\varepsilon)$":[122],"function":[125],"approaches":[127,131],"$0$":[128],"as":[129],"$\\varepsilon$":[130],"$0$.":[132],"As":[133],"byproduct,":[135],"number":[144],"of":[145,147],"occurrences":[146],"constant-size":[149],"subgraph":[150],"$H$":[151],"approximated":[154],"up":[155],"to":[156],"additive":[157],"error":[158],"$\u03b4n$":[159],"$o(\\sqrt{n})$":[161]},"counts_by_year":[],"updated_date":"2026-04-11T06:19:08.300824","created_date":"2026-04-11T00:00:00"}