{"id":"https://openalex.org/W7225387646","doi":"https://doi.org/10.5281/zenodo.24023903","title":"Register with Residual Capacity: An Informative Reading Need Not Consume the Carrier's Quantum Capacity \u2014 The A_\u03b7 Family in the Tracial Sector, Exact Non-Markovianity, Finite-History Reversal, Four Separate Persistences with Flagged Entanglement Survival, a Conditional Inheritance Network, and a Locality No-Go for the Global Instrument \u2014 RCD Program, Act I, Technical Note I-C (v0.1)","display_name":"Register with Residual Capacity: An Informative Reading Need Not Consume the Carrier's Quantum Capacity \u2014 The A_\u03b7 Family in the Tracial Sector, Exact Non-Markovianity, Finite-History Reversal, Four Separate Persistences with Flagged Entanglement Survival, a Conditional Inheritance Network, and a Locality No-Go for the Global Instrument \u2014 RCD Program, Act I, Technical Note I-C (v0.1)","publication_year":2026,"publication_date":"2026-11-07","ids":{"openalex":"https://openalex.org/W7225387646","doi":"https://doi.org/10.5281/zenodo.24023903"},"language":"en","primary_location":{"id":"doi:10.5281/zenodo.24023903","doi":"https://doi.org/10.5281/zenodo.24023903","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24023903","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.5281/zenodo.24023903","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5153975222","display_name":"Arturo Cerezo Garc\u00eda","orcid":"https://orcid.org/0009-0007-4739-4990","observed_orcids":["https://orcid.org/0009-0007-4739-4990"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Cerezo Garc\u00eda, Arturo","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0009-0007-4739-4990","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5153975222"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.5806000232696533,"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"}},"topics":[{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.5806000232696533,"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":0.39820000529289246,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.002400000113993883,"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-measurement","display_name":"quantum measurement","score":0.5},{"id":"https://openalex.org/keywords/nuclear-instrumentation","display_name":"nuclear instrumentation","score":0.6620000004768372},{"id":"https://openalex.org/keywords/entanglement-breaking","display_name":"entanglement breaking","score":0.7590000033378601},{"id":"https://openalex.org/keywords/depolarizing-channel","display_name":"depolarizing channel","score":0.859000027179718},{"id":"https://openalex.org/keywords/non-markovianity","display_name":"non-Markovianity","score":0.7960000038146973},{"id":"https://openalex.org/keywords/conditional-probability","display_name":"conditional probability","score":0.37599998712539673}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7196999788284302},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6190999746322632},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5867000222206116},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5049999952316284},{"id":"https://openalex.org/C2781181686","wikidata":"https://www.wikidata.org/wiki/Q4226068","display_name":"Coherence (philosophical gambling strategy)","level":2,"score":0.4970000088214874},{"id":"https://openalex.org/C554936623","wikidata":"https://www.wikidata.org/wiki/Q199657","display_name":"Reading (process)","level":2,"score":0.4787999987602234},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.4472000002861023},{"id":"https://openalex.org/C2779662365","wikidata":"https://www.wikidata.org/wiki/Q5416694","display_name":"Event (particle physics)","level":2,"score":0.4449000060558319},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3919999897480011},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.37790000438690186},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.37450000643730164},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.3547999858856201},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.3499999940395355},{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.32850000262260437},{"id":"https://openalex.org/C145620117","wikidata":"https://www.wikidata.org/wiki/Q2989763","display_name":"Commutator","level":4,"score":0.32510000467300415},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.32199999690055847},{"id":"https://openalex.org/C7453019","wikidata":"https://www.wikidata.org/wiki/Q16254302","display_name":"Negativity effect","level":2,"score":0.299699991941452},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.29159998893737793},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2904999852180481},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.27059999108314514},{"id":"https://openalex.org/C2780902518","wikidata":"https://www.wikidata.org/wiki/Q6033780","display_name":"Inheritance (genetic algorithm)","level":3,"score":0.26750001311302185},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.258899986743927},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.2581999897956848},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.25459998846054077},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.2515999972820282}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.5281/zenodo.24023903","doi":"https://doi.org/10.5281/zenodo.24023903","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24023903","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},{"id":"doi:10.5281/zenodo.24023904","doi":"https://doi.org/10.5281/zenodo.24023904","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24023904","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.5281/zenodo.24023903","doi":"https://doi.org/10.5281/zenodo.24023903","is_oa":true,"landing_page_url":"https://doi.org/10.5281/zenodo.24023903","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","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"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/W7097253071","https://openalex.org/W7100247571","https://openalex.org/W7169734084","https://openalex.org/W7203996373","https://openalex.org/W7096431847","https://openalex.org/W7225326406","https://openalex.org/W7172251350","https://openalex.org/W7125915045","https://openalex.org/W7098392798","https://openalex.org/W7223667559"],"abstract_inverted_index":{"Technical":[0],"Note":[1],"I-C":[2,32],"of":[3,256,276,282,302,402,437],"the":[4,22,42,46,61,93,106,163,202,205,237,247,251,266,270,274,324,343,349,363,368,376,381,400,403,412,416,435,443,462],"RCD":[5],"program,":[6],"Act":[7],"I":[8],"(continues":[9],"I-B1,":[10],"DOI":[11,14,18],"10.5281/zenodo.23990720;":[12],"I-B0,":[13],"10.5281/zenodo.23965760;":[15],"and":[16,53,101,211,224,236,259,306,313,321,323,370,385,459],"I-A0/I-A1,":[17],"10.5281/zenodo.23961107).":[19],"I-B1":[20,164],"left":[21],"boundary":[23,350],"that":[24,272,331],"every":[25,190,234,263],"realization":[26],"is":[27,162,253,269,345,383,420],"a":[28,145,168,280,290,332,346,355,358],"sample":[29],"entering":[30],"conditionally;":[31],"asks":[33],"whether":[34],"an":[35,50,57,128,254],"event":[36,444],"can":[37],"be":[38,397],"registered":[39],"without":[40],"consuming":[41],"coherence":[43],"needed":[44],"for":[45,122,189,262,390],"next":[47],"one,":[48],"leave":[49],"inheritable":[51],"trace,":[52],"take":[54],"part":[55],"in":[56,179,357],"inheritance":[58],"network.":[59],"In":[60],"tracial":[62],"sector":[63],"\u03c1":[64],"=":[65,68,109,117,136,150,177,181,187,221,361,387],"P/r":[66],"(r":[67],"2,":[69],"3,":[70],"4;":[71],"no":[72,193],"hardware;":[73],"theorems":[74],"with":[75,80,113,134,144,215,226,229,246,316,452],"numerical":[76],"control,":[77],"92":[78],"checks":[79],"declared":[81,291],"tolerances,":[82],"all":[83,309],"passed),":[84],"results:":[85],"(I)":[86],"Register-with-Residual-Capacity":[87],"Theorem.":[88],"A":[89],"rank-one":[90],"reading":[91,130],"on":[92,172,393],"whole":[94],"system":[95],"admits":[96],"only":[97],"nuclear":[98],"instruments":[99],"(Haapasalo\u2013Pellonp\u00e4\u00e4)":[100],"hence":[102],"breaks":[103],"entanglement":[104,214,225],"(Horodecki\u2013Shor\u2013Ruskai);":[105],"family":[107],"A_\u03b7(Q)":[108],"(1\u2212\u03b7)P":[110],"+":[111,119,141,160],"\u03b7rQ":[112],"L\u00fcders":[114],"operation":[115],"L_Q":[116],"aP":[118],"bQ":[120],"gives,":[121],"0":[123],"<":[124,126],"\u03b7":[125],"1,":[127],"informative":[129],"(I_\u03b7":[131],">":[132,154],"0,":[133],"I\u2081":[135],"ln":[137],"r":[138,180,232],"\u2212":[139,152,175],"H_r":[140],"1)":[142],"together":[143],"non-entanglement-breaking":[146],"depolarizing":[147],"channel,":[148],"p_\u03b7":[149],"1":[151],"b\u00b2/(r+1)":[153],"1/(r+1),":[155],"whose":[156],"posterior":[157,344],"state":[158],"(1\u2212\u03b7)P/r":[159],"\u03b7Q":[161],"segment":[165],"produced":[166],"by":[167,298,319],"mechanism.":[169],"Exact":[170],"non-Markovianity":[171],"labels,":[173],"k(Q\u2083|Q\u2081,Q\u2082)":[174],"k(Q\u2083|Q\u2082)":[176],"\u03b7\u00b2\u221a(1\u2212\u03b7\u00b2)":[178],"2.":[182],"Finite-history":[183],"reversal":[184],"theorem:":[185],"w_n(Q\u2081\u2026Q_n)":[186],"w_n(Q_n\u2026Q\u2081)":[188],"n,":[191],"so":[192],"arrow":[194],"comes":[195],"from":[196,399],"label":[197,334,413],"statistics.":[198],"Four":[199],"separate":[200],"persistences:":[201],"classical":[203,248,267],"archive;":[204],"averaged":[206],"residual,":[207],"decaying":[208],"as":[209],"\u03b7p_\u03b7\u207f":[210],"never":[212],"zero;":[213],"discarded":[216],"registers,":[217,228],"dying":[218],"at":[219],"n_EB":[220],"\u2308ln(1/(r+1))/ln":[222],"p_\u03b7\u2309;":[223],"kept":[227,250],"Schmidt":[230],"rank":[231],"along":[233],"trajectory":[235],"exact":[238,325],"bound":[239],"\u03bb_min":[240],"\u2265":[241],"[(1\u2212\u03b7)/(1+(r\u22121)\u03b7)]\u207f/r":[242],"\u2014":[243],"flagged-survival":[244],"corollary:":[245],"register":[249,268],"negativity":[252],"integral":[255],"branch":[257],"negativities":[258],"stays":[260],"positive":[261],"finite":[264],"n;":[265],"flag":[271],"preserves":[273],"resolution":[275],"entangled":[277],"branches,":[278],"not":[279,336,421],"source":[281,351,365],"entanglement.":[283],"(II)":[284],"Inheritance":[285],"network,":[286],"ratified":[287],"conditionally":[288],"under":[289,308],"connection":[292],"scheme":[293],"H_con":[294],"(carrier":[295],"registers):":[296],"acyclicity":[297],"strict":[299],"inclusion,":[300],"invariance":[301],"density,":[303],"state,":[304],"registers":[305],"predecessors":[307],"compatible":[310],"linear":[311],"extensions":[312],"relabeling,":[314],"rhombus":[315,418],"incomparability":[317],"sustained":[318],"commutation":[320],"no-signaling,":[322],"counterexample":[326],"13/8,":[327],"5/4,":[328],"1/16":[329],"showing":[330],"product":[333,391],"does":[335],"imply":[337],"independence":[338],"(local":[339],"statistics":[340],"factorize":[341],"iff":[342],"product).":[347],"Orientation:":[348],"dies":[352],"(P/r":[353],"has":[354],"preimage;":[356],"qubit":[359],"L_{Q\u22a5}L_Q":[360],"\u221a(1\u2212\u03b7\u00b2)P),":[362],"contraction":[364],"belongs":[366],"to":[367,411],"average,":[369],"accumulation":[371],"remains":[372,449],"declared.":[373],"Locality":[374],"no-go:":[375],"Kraus":[377],"operators":[378],"span":[379],"M_r,":[380],"commutant":[382],"trivial":[384],"Fix(\u03a6_\u03b7)":[386],"\u2102P,":[388],"even":[389],"labels":[392],"\u2102\u00b2\u2297\u2102\u00b2:":[394],"locality":[395],"cannot":[396],"extracted":[398],"algebra":[401],"global":[404],"instrument.":[405],"Diagnostics:":[406],"Rideout\u2013Sorkin":[407],"Bell":[408,429],"causality":[409],"transcribed":[410],"law":[414],"fails;":[415],"prefixed":[417],"network":[419],"sprinkling-like.":[422],"Not":[423],"claimed:":[424],"time,":[425],"space,":[426],"gravity,":[427],"irreversibility,":[428],"causality,":[430],"asymptotic":[431],"quantum":[432],"capacity,":[433],"or":[434,441],"derivation":[436],"\u03b7,":[438],"accumulation,":[439],"connections":[440],"factorization;":[442],"debt":[445],"(No":[446],"Free":[447],"Actualization)":[448],"open.":[450],"Scripts":[451],"SHA-256":[453],"manifest;":[454],"run":[455],"incidents":[456],"documented.":[457],"English":[458],"Spanish":[460,463],"versions;":[461],"text":[464],"prevails.":[465]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-11-07T00:00:00"}