{"id":"https://openalex.org/W7224336899","doi":"https://doi.org/10.5281/zenodo.23773484","title":"Quantum Riemann Machine: Coherent Channel Compatibility and Environment Cost","display_name":"Quantum Riemann Machine: Coherent Channel Compatibility and Environment Cost","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224336899","doi":"https://doi.org/10.5281/zenodo.23773484"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.23773484","doi":"https://doi.org/10.5281/zenodo.23773484","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23773484","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.23773484","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053747302","display_name":"Hutan Ashrafian","orcid":"https://orcid.org/0000-0003-1668-0672","observed_orcids":["https://orcid.org/0000-0003-1668-0672","https://orcid.org/0000-0002-8597-8918"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ashrafian, Hutan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5053747302"],"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":0.8916000127792358,"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":0.8916000127792358,"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":0.08990000188350677,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.014700000174343586,"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-coherence","display_name":"quantum coherence","score":0.5220000147819519},{"id":"https://openalex.org/keywords/quantum-channels","display_name":"quantum channels","score":0.37700000405311584},{"id":"https://openalex.org/keywords/eigenvalues","display_name":"eigenvalues","score":0.45100000500679016},{"id":"https://openalex.org/keywords/singular-values","display_name":"singular values","score":0.6320000290870667},{"id":"https://openalex.org/keywords/spectrum","display_name":"spectrum","score":0.328000009059906}],"concepts":[{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5532000064849854},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48069998621940613},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4056999981403351},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.39340001344680786},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.3774999976158142},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.35120001435279846},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.34459999203681946},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3375999927520752},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.3359000086784363},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3328999876976013},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.3255000114440918},{"id":"https://openalex.org/C130295795","wikidata":"https://www.wikidata.org/wiki/Q3550684","display_name":"Unitarity","level":2,"score":0.3249000012874603},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.31779998540878296},{"id":"https://openalex.org/C51003876","wikidata":"https://www.wikidata.org/wiki/Q1536431","display_name":"Quantum error correction","level":4,"score":0.3174000084400177},{"id":"https://openalex.org/C41241483","wikidata":"https://www.wikidata.org/wiki/Q7269015","display_name":"Quantum capacity","level":5,"score":0.31520000100135803},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.31450000405311584},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.2851000130176544},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28040000796318054},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.2660999894142151},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2623000144958496},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.26030001044273376},{"id":"https://openalex.org/C158587675","wikidata":"https://www.wikidata.org/wiki/Q17160413","display_name":"Mutually unbiased bases","level":3,"score":0.2526000142097473},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.25220000743865967}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.23773484","doi":"https://doi.org/10.5281/zenodo.23773484","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23773484","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},{"id":"doi:10.5281/zenodo.23773485","doi":"https://doi.org/10.5281/zenodo.23773485","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23773485","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.5281/zenodo.23773484","doi":"https://doi.org/10.5281/zenodo.23773484","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.23773484","pdf_url":null,"source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7224335484","https://openalex.org/W2799524232","https://openalex.org/W4224290045","https://openalex.org/W7168158054","https://openalex.org/W4394709035","https://openalex.org/W6957972920","https://openalex.org/W7214958379","https://openalex.org/W2961521212","https://openalex.org/W7222045686","https://openalex.org/W4250831014"],"abstract_inverted_index":{"Quantum":[0,25],"programmes":[1],"can":[2,182],"agree":[3],"on":[4],"the":[5,14,51,63,73,114,120,132,188,215,226],"operation":[6],"performed":[7],"within":[8],"each":[9],"branch":[10,94,200],"whilst":[11],"differing":[12],"in":[13],"interference":[15,207],"produced":[16],"when":[17],"those":[18],"branches":[19,145],"are":[20],"recombined.":[21],"I":[22,87],"propose":[23],"a":[24,29,38,76],"Riemann":[26],"Machine":[27],"as":[28],"finite":[30],"architecture":[31],"for":[32],"checking":[33],"whether":[34],"specified":[35],"implementations":[36],"admit":[37],"common":[39],"quantum":[40,233],"realisation":[41],"and":[42,84,95,127,131,194,213,228],"determining":[43],"its":[44,58,155,222],"environmental":[45,211],"cost.":[46],"Its":[47],"geometric":[48],"input":[49],"records":[50],"continuation":[52],"of":[53,67,75,99,113,116,176,217,230],"Kraus":[54],"frames":[55],"around":[56],"loops;":[57],"physical":[59],"consistency":[60],"condition":[61,66],"is":[62],"positive":[64],"Gram":[65],"channel":[68,201],"gluing.":[69],"For":[70],"three":[71,144],"branches,":[72,102],"eigenphases":[74],"single":[77],"loop":[78,105,163],"give":[79],"an":[80,96,174,219],"exact":[81],"coherence":[82],"threshold":[83],"pure-environment":[85],"spectrum.":[86],"extend":[88],"this":[89],"calculation":[90],"to":[91,107,142,225],"one":[92,151,169],"reference":[93],"arbitrary":[97],"number":[98],"mutually":[100],"calibrated":[101],"allowing":[103],"their":[104],"transports":[106,118],"be":[108],"noncommuting.":[109],"The":[110],"singular":[111],"values":[112],"sum":[115],"these":[117],"determine":[119,129],"complete":[121],"spectrum":[122],"through":[123],"explicit":[124],"cubic":[125],"polynomials,":[126],"hence":[128],"feasibility":[130],"minimum":[133],"environment":[134,175],"dimension.":[135],"A":[136],"four-branch":[137],"example":[138],"has":[139],"feasible":[140],"restrictions":[141],"every":[143,198],"but":[146],"no":[147],"joint":[148],"realisation.":[149],"Reorienting":[150],"transport":[152,223],"while":[153],"preserving":[154],"eigenvalues":[156],"restores":[157],"feasibility,":[158],"demonstrating":[159],"information":[160],"that":[161],"separate":[162],"spectra":[164],"do":[165],"not":[166],"retain.":[167],"Leaving":[168],"comparison":[170],"unspecified":[171],"instead":[172],"permits":[173],"dimension":[177,184],"six,":[178],"whereas":[179],"prescribing":[180],"it":[181],"require":[183],"eight":[185],"or":[186],"make":[187],"programme":[189],"impossible.":[190],"Spectral":[191],"error":[192],"bounds":[193],"constructive":[195],"compression":[196],"retain":[197],"local":[199],"exactly.":[202],"These":[203],"certificates":[204],"distinguish":[205],"incompatible":[206],"specifications":[208],"from":[209],"insufficient":[210],"resources":[212],"quantify":[214],"consequences":[216],"reducing":[218],"implementation,":[220],"connecting":[221],"description":[224],"design":[227],"verification":[229],"coherently":[231],"controlled":[232],"programmes.":[234]},"counts_by_year":[],"updated_date":"2026-11-05T12:25:35.769452","created_date":"2026-10-30T00:00:00"}
