{"id":"https://openalex.org/W2012661176","doi":"https://doi.org/10.1007/s11047-006-9017-5","title":"Entropy and algorithmic complexity in quantum information theory","display_name":"Entropy and algorithmic complexity in quantum information theory","publication_year":2006,"publication_date":"2006-12-07","ids":{"openalex":"https://openalex.org/W2012661176","doi":"https://doi.org/10.1007/s11047-006-9017-5","mag":"2012661176"},"language":"en","primary_location":{"id":"doi:10.1007/s11047-006-9017-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11047-006-9017-5","pdf_url":null,"source":{"id":"https://openalex.org/S149828480","display_name":"Natural Computing","issn_l":"1567-7818","issn":["1567-7818","1572-9796"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Natural Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050154603","display_name":"Fabio Benatti","orcid":"https://orcid.org/0000-0002-0712-2057"},"institutions":[{"id":"https://openalex.org/I142444530","display_name":"University of Trieste","ror":"https://ror.org/02n742c10","country_code":"IT","type":"education","lineage":["https://openalex.org/I142444530"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Fabio Benatti","raw_affiliation_strings":["Department of Theoretical Physics, University of Trieste, Strada Costiera, 11, 34014, Trieste, Italy","Department of Theoretical Physics, University of Trieste, Trieste, Italy 34014"],"affiliations":[{"raw_affiliation_string":"Department of Theoretical Physics, University of Trieste, Strada Costiera, 11, 34014, Trieste, Italy","institution_ids":["https://openalex.org/I142444530"]},{"raw_affiliation_string":"Department of Theoretical Physics, University of Trieste, Trieste, Italy 34014","institution_ids":["https://openalex.org/I142444530"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050154603"],"corresponding_institution_ids":["https://openalex.org/I142444530"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.6741,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.69834181,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"6","issue":"2","first_page":"133","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9958999752998352,"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/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9847000241279602,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/von-neumann-entropy","display_name":"Von Neumann entropy","score":0.7422326803207397},{"id":"https://openalex.org/keywords/quantum-mutual-information","display_name":"Quantum mutual information","score":0.6881494522094727},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.6342291831970215},{"id":"https://openalex.org/keywords/von-neumann-architecture","display_name":"Von Neumann architecture","score":0.5708175897598267},{"id":"https://openalex.org/keywords/quantum-information","display_name":"Quantum information","score":0.5350108742713928},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.5270538330078125},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.5249752402305603},{"id":"https://openalex.org/keywords/quantum-relative-entropy","display_name":"Quantum relative entropy","score":0.5103875994682312},{"id":"https://openalex.org/keywords/joint-quantum-entropy","display_name":"Joint quantum entropy","score":0.5067422986030579},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4647805690765381},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4604068994522095},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45790717005729675},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.43102186918258667},{"id":"https://openalex.org/keywords/coherent-information","display_name":"Coherent information","score":0.418700635433197},{"id":"https://openalex.org/keywords/quantum-discord","display_name":"Quantum discord","score":0.40145039558410645},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.37207844853401184},{"id":"https://openalex.org/keywords/quantum-channel","display_name":"Quantum channel","score":0.29234248399734497},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21092262864112854},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.20598289370536804},{"id":"https://openalex.org/keywords/open-quantum-system","display_name":"Open quantum system","score":0.20075181126594543},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17928317189216614},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1560523808002472},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.12688949704170227}],"concepts":[{"id":"https://openalex.org/C101973423","wikidata":"https://www.wikidata.org/wiki/Q6961323","display_name":"Von Neumann entropy","level":4,"score":0.7422326803207397},{"id":"https://openalex.org/C64775481","wikidata":"https://www.wikidata.org/wiki/Q3798613","display_name":"Quantum mutual information","level":5,"score":0.6881494522094727},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.6342291831970215},{"id":"https://openalex.org/C80469333","wikidata":"https://www.wikidata.org/wiki/Q189088","display_name":"Von Neumann architecture","level":2,"score":0.5708175897598267},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.5350108742713928},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.5270538330078125},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.5249752402305603},{"id":"https://openalex.org/C24495805","wikidata":"https://www.wikidata.org/wiki/Q7269091","display_name":"Quantum relative entropy","level":5,"score":0.5103875994682312},{"id":"https://openalex.org/C42047476","wikidata":"https://www.wikidata.org/wiki/Q6269544","display_name":"Joint quantum entropy","level":3,"score":0.5067422986030579},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4647805690765381},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4604068994522095},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45790717005729675},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.43102186918258667},{"id":"https://openalex.org/C184049767","wikidata":"https://www.wikidata.org/wiki/Q5141355","display_name":"Coherent information","level":5,"score":0.418700635433197},{"id":"https://openalex.org/C139356082","wikidata":"https://www.wikidata.org/wiki/Q7269038","display_name":"Quantum discord","level":4,"score":0.40145039558410645},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.37207844853401184},{"id":"https://openalex.org/C187486625","wikidata":"https://www.wikidata.org/wiki/Q2122176","display_name":"Quantum channel","level":4,"score":0.29234248399734497},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21092262864112854},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.20598289370536804},{"id":"https://openalex.org/C190474826","wikidata":"https://www.wikidata.org/wiki/Q2495111","display_name":"Open quantum system","level":3,"score":0.20075181126594543},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17928317189216614},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1560523808002472},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.12688949704170227},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11047-006-9017-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11047-006-9017-5","pdf_url":null,"source":{"id":"https://openalex.org/S149828480","display_name":"Natural Computing","issn_l":"1567-7818","issn":["1567-7818","1572-9796"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Natural Computing","raw_type":"journal-article"},{"id":"pmh:oai:arts.units.it:11368/1690274","is_oa":false,"landing_page_url":"http://hdl.handle.net/11368/1690274","pdf_url":null,"source":{"id":"https://openalex.org/S4306400480","display_name":"ArTS Archivio della ricerca di Trieste (University of Trieste https://www.units.it/)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I142444530","host_organization_name":"University of Trieste","host_organization_lineage":["https://openalex.org/I142444530"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W19408317","https://openalex.org/W201917955","https://openalex.org/W575057662","https://openalex.org/W1481269173","https://openalex.org/W1598664776","https://openalex.org/W1620538313","https://openalex.org/W1623145946","https://openalex.org/W1631356911","https://openalex.org/W1638203394","https://openalex.org/W1804727206","https://openalex.org/W1969678783","https://openalex.org/W1978909760","https://openalex.org/W1979697838","https://openalex.org/W1979734360","https://openalex.org/W1992883937","https://openalex.org/W1993688167","https://openalex.org/W1996729804","https://openalex.org/W1999580286","https://openalex.org/W2021233351","https://openalex.org/W2033216491","https://openalex.org/W2067566838","https://openalex.org/W2086010207","https://openalex.org/W2099111195","https://openalex.org/W2105518356","https://openalex.org/W2106534004","https://openalex.org/W2124842410","https://openalex.org/W2135625884","https://openalex.org/W2154462988","https://openalex.org/W2312450606","https://openalex.org/W2363970847","https://openalex.org/W2500491642","https://openalex.org/W2762038352","https://openalex.org/W2764347725","https://openalex.org/W2913788899","https://openalex.org/W3158876449","https://openalex.org/W4213350211","https://openalex.org/W4230960895"],"related_works":["https://openalex.org/W3101299541","https://openalex.org/W1632671191","https://openalex.org/W3103412666","https://openalex.org/W2077911510","https://openalex.org/W2012661176","https://openalex.org/W2511751011","https://openalex.org/W2112771737","https://openalex.org/W3140571232","https://openalex.org/W2112065886","https://openalex.org/W3149442096"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
