{"id":"https://openalex.org/W4307855396","doi":"https://doi.org/10.3390/e24111568","title":"Generalized Landauer Bound for Information Processing: Proof and Applications","display_name":"Generalized Landauer Bound for Information Processing: Proof and Applications","publication_year":2022,"publication_date":"2022-10-31","ids":{"openalex":"https://openalex.org/W4307855396","doi":"https://doi.org/10.3390/e24111568","pmid":"https://pubmed.ncbi.nlm.nih.gov/36359663"},"language":"en","primary_location":{"id":"doi:10.3390/e24111568","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24111568","pdf_url":"https://www.mdpi.com/1099-4300/24/11/1568/pdf?version=1667221909","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/24/11/1568/pdf?version=1667221909","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014999580","display_name":"Neal G. Anderson","orcid":"https://orcid.org/0000-0002-0712-9849"},"institutions":[{"id":"https://openalex.org/I24603500","display_name":"University of Massachusetts Amherst","ror":"https://ror.org/0072zz521","country_code":"US","type":"education","lineage":["https://openalex.org/I24603500"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Neal G. Anderson","raw_affiliation_strings":["Department of Electrical & Computer Engineering, University of Massachusetts Amherst, Amherst, MA 01003-9292, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Massachusetts Amherst, Amherst, MA 01003-9292, USA","institution_ids":["https://openalex.org/I24603500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014999580"],"corresponding_institution_ids":["https://openalex.org/I24603500"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.0994,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.89010169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"24","issue":"11","first_page":"1568","last_page":"1568"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9973999857902527,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.996399998664856,"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/dissipative-system","display_name":"Dissipative system","score":0.7869913578033447},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.6513060927391052},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6292625665664673},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6236920356750488},{"id":"https://openalex.org/keywords/quantum-information-processing","display_name":"Quantum information processing","score":0.6232678294181824},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5726352334022522},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5559803247451782},{"id":"https://openalex.org/keywords/dissipation","display_name":"Dissipation","score":0.5489583015441895},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.5153533816337585},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4970231354236603},{"id":"https://openalex.org/keywords/information-processing","display_name":"Information processing","score":0.43749701976776123},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4310183525085449},{"id":"https://openalex.org/keywords/physical-system","display_name":"Physical system","score":0.4266577363014221},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.42130720615386963},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3343135118484497},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1712425947189331},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.15963032841682434},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1486472189426422},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.08829176425933838}],"concepts":[{"id":"https://openalex.org/C99692599","wikidata":"https://www.wikidata.org/wiki/Q596577","display_name":"Dissipative system","level":2,"score":0.7869913578033447},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.6513060927391052},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6292625665664673},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6236920356750488},{"id":"https://openalex.org/C2987822364","wikidata":"https://www.wikidata.org/wiki/Q2122216","display_name":"Quantum information processing","level":3,"score":0.6232678294181824},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5726352334022522},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5559803247451782},{"id":"https://openalex.org/C135402231","wikidata":"https://www.wikidata.org/wiki/Q898440","display_name":"Dissipation","level":2,"score":0.5489583015441895},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5153533816337585},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4970231354236603},{"id":"https://openalex.org/C87868495","wikidata":"https://www.wikidata.org/wiki/Q750843","display_name":"Information processing","level":2,"score":0.43749701976776123},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4310183525085449},{"id":"https://openalex.org/C116672817","wikidata":"https://www.wikidata.org/wiki/Q1454986","display_name":"Physical system","level":2,"score":0.4266577363014221},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.42130720615386963},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3343135118484497},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1712425947189331},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.15963032841682434},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1486472189426422},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.08829176425933838},{"id":"https://openalex.org/C169760540","wikidata":"https://www.wikidata.org/wiki/Q207011","display_name":"Neuroscience","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.3390/e24111568","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24111568","pdf_url":"https://www.mdpi.com/1099-4300/24/11/1568/pdf?version=1667221909","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:36359663","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/36359663","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:8fb3c052596a48c6b07fae51e080c643","is_oa":true,"landing_page_url":"https://doaj.org/article/8fb3c052596a48c6b07fae51e080c643","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 24, Iss 11, p 1568 (2022)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/24/11/1568/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e24111568","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy; Volume 24; Issue 11; Pages: 1568","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:9689189","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/9689189","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"},{"id":"pmh:oai:works.bepress.com:neal_anderson-10069","is_oa":false,"landing_page_url":"https://works.bepress.com/neal_anderson/26","pdf_url":null,"source":{"id":"https://openalex.org/S4306402240","display_name":"ScholarWorks@UMassAmherst (University of Massachusetts Amherst)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I24603500","host_organization_name":"University of Massachusetts Amherst","host_organization_lineage":["https://openalex.org/I24603500"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Neal G. Anderson","raw_type":"text"}],"best_oa_location":{"id":"doi:10.3390/e24111568","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e24111568","pdf_url":"https://www.mdpi.com/1099-4300/24/11/1568/pdf?version=1667221909","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4307855396.pdf","grobid_xml":"https://content.openalex.org/works/W4307855396.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1491647559","https://openalex.org/W1901807635","https://openalex.org/W1995875735","https://openalex.org/W2030769814","https://openalex.org/W2050838412","https://openalex.org/W2051404975","https://openalex.org/W2104846429","https://openalex.org/W2105259569","https://openalex.org/W2119708875","https://openalex.org/W2137446400","https://openalex.org/W2341608460","https://openalex.org/W2555696181","https://openalex.org/W2846653532","https://openalex.org/W3101925697","https://openalex.org/W3157575980","https://openalex.org/W3158143040","https://openalex.org/W3161115086","https://openalex.org/W3170374366","https://openalex.org/W4233798822","https://openalex.org/W4249933262"],"related_works":["https://openalex.org/W2072016134","https://openalex.org/W611145173","https://openalex.org/W2035904293","https://openalex.org/W2387739673","https://openalex.org/W2030935761","https://openalex.org/W4225995904","https://openalex.org/W4221164995","https://openalex.org/W42206946","https://openalex.org/W4293222916","https://openalex.org/W1877642335"],"abstract_inverted_index":{"A":[0],"generalized":[1,78,160],"form":[2],"of":[3,10,32,45,61,76,116,126,149,153],"Landauer's":[4,33,150],"bound":[5,41,80],"on":[6,42],"the":[7,43,67,93,104,117,138,154,159],"dissipative":[8],"cost":[9],"classical":[11],"information":[12,62,85],"processing":[13,86],"in":[14,128,147,179],"quantum-mechanical":[15],"systems":[16,141],"is":[17,48,64],"proved":[18],"using":[19],"a":[20,38,52,70],"new":[21],"approach.":[22],"This":[23],"approach":[24],"sidesteps":[25],"some":[26,173],"prominent":[27],"objections":[28],"to":[29,55,92,157,169,177],"standard":[30],"proofs":[31],"bound-broadly":[34],"interpreted":[35],"here":[36],"as":[37],"nonzero":[39],"lower":[40],"amount":[44],"energy":[46],"that":[47,63,130,142],"irreversibly":[49],"transferred":[50],"from":[51,66,103],"physical":[53,122],"system":[54],"its":[56],"environment":[57],"for":[58,81,96],"each":[59],"bit":[60],"lost":[65],"system-while":[68],"establishing":[69],"far":[71,134],"more":[72,135],"general":[73,136],"result.":[74],"Specializations":[75],"our":[77],"Landauer":[79],"ideal":[82],"and":[83,98,108,124,162,171],"non-ideal":[84],"operations,":[87],"including":[88],"but":[89,132],"not":[90],"limited":[91],"simplified":[94],"forms":[95],"erasure":[97],"logical":[99,120],"operations":[100,127],"most":[101,144],"familiar":[102],"literature,":[105],"are":[106,133,143],"presented":[107],"discussed.":[109],"These":[110],"bounds,":[111],"taken":[112],"together,":[113],"enable":[114],"reconsideration":[115],"links":[118],"between":[119],"reversibility,":[121,123],"conditioning":[125],"contexts":[129],"include":[131],"than":[137],"thermodynamic":[139],"model":[140],"widely":[145],"invoked":[146],"discussions":[148],"Principle.":[151],"Because":[152],"strategy":[155],"used":[156],"prove":[158],"bounds":[161],"these":[163],"specializations,":[164],"this":[165],"work":[166],"may":[167],"help":[168],"illuminate":[170],"resolve":[172],"longstanding":[174],"controversies":[175],"related":[176],"dissipation":[178],"computation.":[180]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":15}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}