{"id":"https://openalex.org/W4416371037","doi":"https://doi.org/10.48550/arxiv.2510.03057","title":"Tradeoffs on the volume of fault-tolerant circuits","display_name":"Tradeoffs on the volume of fault-tolerant circuits","publication_year":2025,"publication_date":"2025-10-03","ids":{"openalex":"https://openalex.org/W4416371037","doi":"https://doi.org/10.48550/arxiv.2510.03057"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2510.03057","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.03057","pdf_url":"https://arxiv.org/pdf/2510.03057","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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"},"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2510.03057","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017278452","display_name":"Anirudh Krishna","orcid":"https://orcid.org/0000-0002-5619-1569"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Krishna, Anirudh","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5064676731","display_name":"Gilles Z\u00e9mor","orcid":"https://orcid.org/0000-0002-6041-9554"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Z\u00e9mor, Gilles","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"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":0.33230000734329224,"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":0.33230000734329224,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.21320000290870667,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11005","display_name":"Radiation Effects in Electronics","score":0.12939999997615814,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.6396999955177307},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5960000157356262},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5601000189781189},{"id":"https://openalex.org/keywords/von-neumann-architecture","display_name":"Von Neumann architecture","score":0.4325999915599823},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.40540000796318054},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.3587000072002411},{"id":"https://openalex.org/keywords/code-rate","display_name":"Code rate","score":0.34299999475479126},{"id":"https://openalex.org/keywords/automaton","display_name":"Automaton","score":0.3255999982357025}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6396999955177307},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5961999893188477},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5960000157356262},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5601000189781189},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.49869999289512634},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4984999895095825},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.4325999915599823},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.40540000796318054},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.3587000072002411},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.34299999475479126},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3336000144481659},{"id":"https://openalex.org/C112505250","wikidata":"https://www.wikidata.org/wiki/Q787116","display_name":"Automaton","level":2,"score":0.3255999982357025},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.3133000135421753},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.31310001015663147},{"id":"https://openalex.org/C194405637","wikidata":"https://www.wikidata.org/wiki/Q369367","display_name":"Repetition code","level":5,"score":0.3077999949455261},{"id":"https://openalex.org/C40969351","wikidata":"https://www.wikidata.org/wiki/Q3516228","display_name":"Word error rate","level":2,"score":0.3009999990463257},{"id":"https://openalex.org/C20556612","wikidata":"https://www.wikidata.org/wiki/Q4469374","display_name":"Volume (thermodynamics)","level":2,"score":0.2775999903678894},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2703999876976013},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.26809999346733093},{"id":"https://openalex.org/C79403827","wikidata":"https://www.wikidata.org/wiki/Q3988","display_name":"Real-time computing","level":1,"score":0.26440000534057617},{"id":"https://openalex.org/C165005293","wikidata":"https://www.wikidata.org/wiki/Q1074500","display_name":"Chip","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.26080000400543213},{"id":"https://openalex.org/C2779585090","wikidata":"https://www.wikidata.org/wiki/Q3457762","display_name":"Resilience (materials science)","level":2,"score":0.2563000023365021},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.2522999942302704},{"id":"https://openalex.org/C151578736","wikidata":"https://www.wikidata.org/wiki/Q1251793","display_name":"Redundant code","level":4,"score":0.25110000371932983}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:arXiv.org:2510.03057","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.03057","pdf_url":"https://arxiv.org/pdf/2510.03057","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"pmh:oai:HAL:hal-05565902v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05565902","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2026","raw_type":"Preprints, Working Papers, ..."},{"id":"doi:10.48550/arxiv.2510.03057","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2510.03057","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":"pmh:oai:arXiv.org:2510.03057","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2510.03057","pdf_url":"https://arxiv.org/pdf/2510.03057","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Dating":[0],"back":[1],"to":[2,26,101,108,114,122,153],"the":[3,43,46,49,57,62,65,72,77,136],"seminal":[4],"work":[5],"of":[6,45,52,64,111],"von":[7],"Neumann":[8],"[von":[9],"Neumann,":[10],"Automata":[11],"Studies,":[12],"1956],":[13],"it":[14,37],"is":[15,34,87,98,134],"known":[16],"that":[17,132,139],"error":[18],"correcting":[19],"codes":[20,85],"can":[21],"overcome":[22],"faulty":[23],"circuit":[24],"components":[25],"enable":[27,115],"robust":[28],"computation.":[29],"Choosing":[30],"an":[31,102,173],"appropriate":[32],"code":[33,47,66,95,106,141],"non-trivial":[35],"as":[36,86],"must":[38],"balance":[39],"several":[40],"requirements.":[41],"Increasing":[42],"rate":[44,73,127,163],"reduces":[48],"relative":[50],"number":[51],"redundant":[53],"bits":[54],"used":[55],"in":[56,89,176],"fault-tolerant":[58],"circuit,":[59],"while":[60],"increasing":[61],"distance":[63,75,149,165],"ensures":[67],"robustness":[68],"against":[69],"faults.":[70],"If":[71],"and":[74,128,150,164,179],"were":[76],"only":[78],"concerns,":[79],"we":[80],"could":[81],"use":[82],"asymptotically":[83],"optimal":[84],"done":[88],"communication":[90],"settings.":[91],"However,":[92],"choosing":[93],"a":[94,140,159],"for":[96],"computation":[97,116],"challenging":[99],"due":[100],"additional":[103],"requirement:":[104],"The":[105],"needs":[107],"facilitate":[109],"accessibility":[110],"encoded":[112,118,155],"information":[113],"on":[117],"data.":[119],"This":[120],"seems":[121],"conflict":[123],"with":[124],"having":[125],"large":[126],"distance.":[129],"We":[130],"prove":[131],"this":[133],"indeed":[135],"case,":[137],"namely":[138],"family":[142],"cannot":[143],"simultaneously":[144],"have":[145],"constant":[146],"rate,":[147],"growing":[148],"short-depth":[151],"gadgets":[152],"perform":[154],"CNOT":[156],"gates.":[157],"As":[158],"consequence,":[160],"achieving":[161],"good":[162],"may":[166],"necessarily":[167],"entail":[168],"accepting":[169],"very":[170],"deep":[171],"circuits,":[172],"undesirable":[174],"trade-off":[175],"certain":[177],"architectures":[178],"applications.":[180]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}