{"id":"https://openalex.org/W7160281863","doi":"https://doi.org/10.48550/arxiv.2605.02571","title":"Construction of Quantum Rank-Metric Codes Using Hermitian Orthogonality","display_name":"Construction of Quantum Rank-Metric Codes Using Hermitian Orthogonality","publication_year":2026,"publication_date":"2026-05-04","ids":{"openalex":"https://openalex.org/W7160281863","doi":"https://doi.org/10.48550/arxiv.2605.02571"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.02571","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.02571","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,"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":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.02571","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5135308622","display_name":"Ryota Nizuka","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nizuka, Ryota","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5135294683","display_name":"Ryutaroh Matsumoto","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Matsumoto, Ryutaroh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"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":0.8759999871253967,"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":0.8759999871253967,"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":0.031599998474121094,"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":0.009700000286102295,"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/quantum-convolutional-code","display_name":"Quantum convolutional code","score":0.6797000169754028},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5360000133514404},{"id":"https://openalex.org/keywords/quantum-error-correction","display_name":"Quantum error correction","score":0.5074999928474426},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.48820000886917114},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4846000075340271},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.4821000099182129},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.4668000042438507},{"id":"https://openalex.org/keywords/quantum-algorithm","display_name":"Quantum algorithm","score":0.4185999929904938},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.41850000619888306}],"concepts":[{"id":"https://openalex.org/C69497775","wikidata":"https://www.wikidata.org/wiki/Q7269025","display_name":"Quantum convolutional code","level":5,"score":0.6797000169754028},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.567799985408783},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5360000133514404},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.5074999928474426},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.48820000886917114},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4846000075340271},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.4821000099182129},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.4668000042438507},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4489000141620636},{"id":"https://openalex.org/C137019171","wikidata":"https://www.wikidata.org/wiki/Q2623817","display_name":"Quantum algorithm","level":3,"score":0.4185999929904938},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.41850000619888306},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.3621000051498413},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.35989999771118164},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3449000120162964},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.335099995136261},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3301999866962433},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.31380000710487366},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3091999888420105},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.3059999942779541},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.2987000048160553},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.29109999537467957},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.2897999882698059},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.2793999910354614},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.2703999876976013},{"id":"https://openalex.org/C5320026","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information science","level":4,"score":0.26809999346733093},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.26739999651908875},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C191608238","wikidata":"https://www.wikidata.org/wiki/Q5249552","display_name":"Decoherence-free subspaces","level":5,"score":0.2506999969482422}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.02571","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.02571","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,"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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.02571","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.02571","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,"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":"Preprint"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.627359926700592}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Stacked":[0],"quantum":[1,24,30,68,88,116,180,205],"memory":[2,47,172,206],"is":[3,113],"an":[4,187],"architecture":[5,207],"in":[6,22,131,214],"which":[7],"multiple":[8],"layers":[9,168],"of":[10,55,96,109,136,144,157,165,169,179,190,202,212],"qubits":[11,146],"are":[12,17],"stacked.":[13],"Quantum":[14],"rank-metric":[15,69,181],"codes":[16,32,70,74,90,182],"effective":[18],"for":[19,66,87],"error":[20,199],"correction":[21,200],"stacked":[23,171,204],"memories.":[25],"However,":[26],"the":[27,35,45,93,100,106,110,115,134,137,142,149,155,158,163,170,177,197,203,210,218],"previously":[28],"proposed":[29,128],"Gabidulin":[31,89,98],"based":[33],"on":[34],"CSS":[36],"construction":[37,85,118,178,195],"had":[38],"a":[39,64,83],"problem:":[40],"due":[41],"to":[42,52,141,173,184],"algebraic":[43],"constraints,":[44],"applicable":[46,183],"layouts":[48],"were":[49],"strictly":[50],"limited":[51],"square":[53],"shapes":[54],"odd":[56],"length.":[57],"In":[58],"this":[59],"paper,":[60],"we":[61,81],"first":[62],"propose":[63,82],"framework":[65],"constructing":[67],"from":[71],"classical":[72,97],"linear":[73],"with":[75,186],"symplectic":[76],"self-orthogonality.":[77],"Building":[78],"upon":[79],"this,":[80],"new":[84],"method":[86,119,129,160],"by":[91,123],"combining":[92],"Hermitian":[94,121],"self-orthogonality":[95],"codes--utilizing":[99],"self-dual":[101],"basis":[102],"that":[103,161],"exists":[104],"when":[105],"extension":[107],"degree":[108,211],"finite":[111],"field":[112],"even--with":[114],"code":[117,150,219],"using":[120],"orthogonality":[122],"Matsumoto":[124],"and":[125,167,192,208],"Uyematsu.":[126],"The":[127],"succeeds":[130],"approximately":[132],"doubling":[133],"ratio":[135],"minimum":[138],"rank":[139],"distance":[140],"number":[143,164,189],"physical":[145],"while":[147,216],"maintaining":[148],"rate.":[151,220],"Furthermore,":[152],"it":[153],"eliminates":[154],"restriction":[156],"conventional":[159],"requires":[162],"cells":[166,191],"be":[174],"odd,":[175],"realizing":[176],"memories":[185],"even":[188],"layers.":[193],"This":[194],"improves":[196],"relative":[198],"capability":[201],"increases":[209],"freedom":[213],"design":[215],"preserving":[217]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-05-06T00:00:00"}