{"id":"https://openalex.org/W4388445175","doi":"https://doi.org/10.3390/e25111519","title":"Large Coherent States Formed from Disordered k-Regular Random Graphs","display_name":"Large Coherent States Formed from Disordered k-Regular Random Graphs","publication_year":2023,"publication_date":"2023-11-06","ids":{"openalex":"https://openalex.org/W4388445175","doi":"https://doi.org/10.3390/e25111519","pmid":"https://pubmed.ncbi.nlm.nih.gov/37998211"},"language":"en","primary_location":{"id":"doi:10.3390/e25111519","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25111519","pdf_url":"https://www.mdpi.com/1099-4300/25/11/1519/pdf?version=1699258427","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/1099-4300/25/11/1519/pdf?version=1699258427","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029838157","display_name":"Gregory D. Scholes","orcid":"https://orcid.org/0000-0003-3336-7960"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Gregory D. Scholes","raw_affiliation_strings":["Department of Chemistry, Princeton University, Princeton, NJ 08544, USA"],"raw_orcid":"https://orcid.org/0000-0003-3336-7960","affiliations":[{"raw_affiliation_string":"Department of Chemistry, Princeton University, Princeton, NJ 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029838157"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":2.1329,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.87608936,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"25","issue":"11","first_page":"1519","last_page":"1519"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9970999956130981,"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":0.994700014591217,"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/random-graph","display_name":"Random graph","score":0.5966255068778992},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.49099305272102356},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.48526617884635925},{"id":"https://openalex.org/keywords/qubit","display_name":"Qubit","score":0.48232099413871765},{"id":"https://openalex.org/keywords/expander-graph","display_name":"Expander graph","score":0.45991387963294983},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4468044340610504},{"id":"https://openalex.org/keywords/quantum-state","display_name":"Quantum state","score":0.4219469726085663},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.398025244474411},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.38821184635162354},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3674970269203186},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36012396216392517},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.26676690578460693},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.2182164192199707},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.1637689173221588},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10291093587875366}],"concepts":[{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.5966255068778992},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.49099305272102356},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.48526617884635925},{"id":"https://openalex.org/C203087015","wikidata":"https://www.wikidata.org/wiki/Q378201","display_name":"Qubit","level":3,"score":0.48232099413871765},{"id":"https://openalex.org/C154547637","wikidata":"https://www.wikidata.org/wiki/Q776602","display_name":"Expander graph","level":3,"score":0.45991387963294983},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4468044340610504},{"id":"https://openalex.org/C15706264","wikidata":"https://www.wikidata.org/wiki/Q230883","display_name":"Quantum state","level":3,"score":0.4219469726085663},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.398025244474411},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38821184635162354},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3674970269203186},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36012396216392517},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.26676690578460693},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2182164192199707},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.1637689173221588},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10291093587875366},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e25111519","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25111519","pdf_url":"https://www.mdpi.com/1099-4300/25/11/1519/pdf?version=1699258427","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:37998211","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37998211","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:pubmedcentral.nih.gov:10670866","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10670866","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10670866/pdf/entropy-25-01519.pdf","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:doaj.org/article:12b0d9c4b8234ba2b5eb0031552b2927","is_oa":true,"landing_page_url":"https://doaj.org/article/12b0d9c4b8234ba2b5eb0031552b2927","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 25, Iss 11, p 1519 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/e25111519","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25111519","pdf_url":"https://www.mdpi.com/1099-4300/25/11/1519/pdf?version=1699258427","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":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4388445175.pdf"},"referenced_works_count":66,"referenced_works":["https://openalex.org/W390146837","https://openalex.org/W1619293558","https://openalex.org/W1631603072","https://openalex.org/W1973565002","https://openalex.org/W1973836644","https://openalex.org/W1975068880","https://openalex.org/W1978901076","https://openalex.org/W1979571930","https://openalex.org/W1983610133","https://openalex.org/W2005644627","https://openalex.org/W2007341336","https://openalex.org/W2012184276","https://openalex.org/W2018047324","https://openalex.org/W2031246048","https://openalex.org/W2034860521","https://openalex.org/W2036878392","https://openalex.org/W2052758200","https://openalex.org/W2083394508","https://openalex.org/W2085767576","https://openalex.org/W2097490641","https://openalex.org/W2101036389","https://openalex.org/W2113877182","https://openalex.org/W2118639833","https://openalex.org/W2130518506","https://openalex.org/W2143804199","https://openalex.org/W2151781484","https://openalex.org/W2153706317","https://openalex.org/W2168448159","https://openalex.org/W2478722229","https://openalex.org/W2519383683","https://openalex.org/W2554035210","https://openalex.org/W2584401033","https://openalex.org/W2604003743","https://openalex.org/W2604640649","https://openalex.org/W2613954927","https://openalex.org/W2745444063","https://openalex.org/W2750670530","https://openalex.org/W2768464843","https://openalex.org/W2808319042","https://openalex.org/W2899739829","https://openalex.org/W2903183678","https://openalex.org/W2912497169","https://openalex.org/W2963216497","https://openalex.org/W2965530196","https://openalex.org/W2968449075","https://openalex.org/W2971119606","https://openalex.org/W3011770729","https://openalex.org/W3034565201","https://openalex.org/W3037637275","https://openalex.org/W3047886418","https://openalex.org/W3081134029","https://openalex.org/W3087408059","https://openalex.org/W3096608119","https://openalex.org/W3098464343","https://openalex.org/W3102687256","https://openalex.org/W3102997692","https://openalex.org/W3103922965","https://openalex.org/W3127684563","https://openalex.org/W3165212442","https://openalex.org/W3185429264","https://openalex.org/W4286005619","https://openalex.org/W4290852321","https://openalex.org/W4296205107","https://openalex.org/W4297231493","https://openalex.org/W4321613798","https://openalex.org/W4388479544"],"related_works":["https://openalex.org/W2156471645","https://openalex.org/W2981433101","https://openalex.org/W4288255086","https://openalex.org/W2082544030","https://openalex.org/W4300706663","https://openalex.org/W2963814747","https://openalex.org/W4226089622","https://openalex.org/W4252484501","https://openalex.org/W3208730296","https://openalex.org/W2963760219"],"abstract_inverted_index":{"The":[0,126],"present":[1],"work":[2],"is":[3,23,59],"motivated":[4],"by":[5,61,68],"the":[6,63,109,129,133],"need":[7],"for":[8],"robust,":[9],"large-scale":[10],"coherent":[11,111],"states":[12,66],"that":[13,24,108],"can":[14,101],"play":[15],"possible":[16,130],"roles":[17],"as":[18],"quantum":[19,55,65],"resources.":[20],"A":[21],"challenge":[22],"large,":[25],"complex":[26,64],"systems":[27,37,48],"tend":[28,38],"to":[29,39,51,119],"be":[30,102],"fragile.":[31],"However,":[32],"emergent":[33,110],"phenomena":[34],"in":[35,78],"classical":[36,47],"become":[40],"more":[41],"robust":[42,54,118],"with":[43],"scale.":[44],"Do":[45],"these":[46,115],"inspire":[49],"ways":[50],"think":[52],"about":[53],"networks?":[56],"This":[57],"question":[58],"studied":[60],"characterizing":[62],"produced":[67],"mapping":[69],"interactions":[70],"between":[71],"a":[72,120],"set":[73],"of":[74,114,123,132,136],"qubits":[75],"from":[76],"structure":[77],"graphs.":[79,139],"We":[80,95],"focus":[81],"on":[82,85],"maps":[83],"based":[84],"k-regular":[86,137],"random":[87,138],"graphs":[88,116],"where":[89],"many":[90,98],"edges":[91],"were":[92],"randomly":[93],"deleted.":[94],"ask":[96],"how":[97],"edge":[99,124],"deletions":[100],"tolerated.":[103],"Surprisingly,":[104],"it":[105],"was":[106,117],"found":[107],"state":[112],"characteristic":[113],"substantial":[121],"number":[122],"deletions.":[125],"analysis":[127],"considers":[128],"role":[131],"expander":[134],"property":[135]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}