{"id":"https://openalex.org/W4385949266","doi":"https://doi.org/10.3390/e25081227","title":"Quantum Knowledge in Phase Space","display_name":"Quantum Knowledge in Phase Space","publication_year":2023,"publication_date":"2023-08-17","ids":{"openalex":"https://openalex.org/W4385949266","doi":"https://doi.org/10.3390/e25081227","pmid":"https://pubmed.ncbi.nlm.nih.gov/37628257"},"language":"en","primary_location":{"id":"doi:10.3390/e25081227","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25081227","pdf_url":"https://www.mdpi.com/1099-4300/25/8/1227/pdf?version=1692284652","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/1099-4300/25/8/1227/pdf?version=1692284652","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050355939","display_name":"Davi Geiger","orcid":"https://orcid.org/0000-0003-2138-3517"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]},{"id":"https://openalex.org/I36672615","display_name":"Courant Institute of Mathematical Sciences","ror":"https://ror.org/037tm7f56","country_code":"US","type":"education","lineage":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Davi Geiger","raw_affiliation_strings":["Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA"],"affiliations":[{"raw_affiliation_string":"Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA","institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050355939"],"corresponding_institution_ids":["https://openalex.org/I36672615","https://openalex.org/I57206974"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.4115,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60619077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"25","issue":"8","first_page":"1227","last_page":"1227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9994999766349792,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"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-entanglement","display_name":"Quantum entanglement","score":0.7658816576004028},{"id":"https://openalex.org/keywords/phase-space","display_name":"Phase space","score":0.6282163262367249},{"id":"https://openalex.org/keywords/kullback\u2013leibler-divergence","display_name":"Kullback\u2013Leibler divergence","score":0.585732102394104},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5122188925743103},{"id":"https://openalex.org/keywords/divergence","display_name":"Divergence (linguistics)","score":0.5058205127716064},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4842112064361572},{"id":"https://openalex.org/keywords/bayesian-probability","display_name":"Bayesian probability","score":0.4840078055858612},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48328593373298645},{"id":"https://openalex.org/keywords/probability-density-function","display_name":"Probability density function","score":0.4789862632751465},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.38974204659461975},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.33563321828842163},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.31660279631614685},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2815954089164734}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.7658816576004028},{"id":"https://openalex.org/C151342819","wikidata":"https://www.wikidata.org/wiki/Q62542","display_name":"Phase space","level":2,"score":0.6282163262367249},{"id":"https://openalex.org/C171752962","wikidata":"https://www.wikidata.org/wiki/Q255166","display_name":"Kullback\u2013Leibler divergence","level":2,"score":0.585732102394104},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5122188925743103},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5058205127716064},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4842112064361572},{"id":"https://openalex.org/C107673813","wikidata":"https://www.wikidata.org/wiki/Q812534","display_name":"Bayesian probability","level":2,"score":0.4840078055858612},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48328593373298645},{"id":"https://openalex.org/C197055811","wikidata":"https://www.wikidata.org/wiki/Q207522","display_name":"Probability density function","level":2,"score":0.4789862632751465},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.38974204659461975},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.33563321828842163},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.31660279631614685},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2815954089164734},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/e25081227","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25081227","pdf_url":"https://www.mdpi.com/1099-4300/25/8/1227/pdf?version=1692284652","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:37628257","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/37628257","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:10453271","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/10453271","pdf_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC10453271/pdf/entropy-25-01227.pdf","source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","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":"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:6bb5c70d41b743dea2e52a90873d8b64","is_oa":true,"landing_page_url":"https://doaj.org/article/6bb5c70d41b743dea2e52a90873d8b64","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 25, Iss 8, p 1227 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1099-4300/25/8/1227/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/e25081227","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 25; Issue 8; Pages: 1227","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e25081227","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e25081227","pdf_url":"https://www.mdpi.com/1099-4300/25/8/1227/pdf?version=1692284652","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.800000011920929}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385949266.pdf"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W815447979","https://openalex.org/W1427628407","https://openalex.org/W1598694583","https://openalex.org/W1623920228","https://openalex.org/W1847162973","https://openalex.org/W1978553093","https://openalex.org/W1985438495","https://openalex.org/W1986407511","https://openalex.org/W1995875735","https://openalex.org/W2042601507","https://openalex.org/W2113730801","https://openalex.org/W2148132004","https://openalex.org/W2504546391","https://openalex.org/W2945496839","https://openalex.org/W3165898261","https://openalex.org/W4206655569","https://openalex.org/W4296810243","https://openalex.org/W4297198306","https://openalex.org/W6628461043","https://openalex.org/W6681936101"],"related_works":["https://openalex.org/W2105321464","https://openalex.org/W2887774187","https://openalex.org/W2388220555","https://openalex.org/W1554844486","https://openalex.org/W1520875569","https://openalex.org/W3048739257","https://openalex.org/W1665563134","https://openalex.org/W2963604926","https://openalex.org/W2199957582","https://openalex.org/W2033178790"],"abstract_inverted_index":{"Quantum":[0],"physics":[1],"through":[2],"the":[3,22,53,66,78],"lens":[4],"of":[5,14,21,48,60,69],"Bayesian":[6,19],"statistics":[7],"considers":[8],"probability":[9,23],"to":[10,40,65,74],"be":[11],"a":[12,32],"degree":[13,68],"belief":[15],"and":[16,43,52,71],"subjective.":[17],"A":[18,57],"derivation":[20],"density":[24],"function":[25],"in":[26,35,62],"phase":[27,36,63],"space":[28,37,64],"is":[29,38],"presented.":[30],"Then,":[31],"Kullback-Liebler":[33],"divergence":[34],"introduced":[39],"define":[41],"interference":[42],"entanglement.":[44],"Comparisons":[45],"between":[46],"each":[47],"these":[49],"two":[50],"quantities":[51],"entropy":[54],"are":[55],"made.":[56],"brief":[58],"presentation":[59],"entanglement":[61],"spin":[67],"freedom":[70],"an":[72],"extension":[73],"mixed":[75],"states":[76],"completes":[77],"work.":[79]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}