{"id":"https://openalex.org/W4387461819","doi":"https://doi.org/10.22331/q-2023-10-09-1128","title":"Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables","display_name":"Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables","publication_year":2023,"publication_date":"2023-10-09","ids":{"openalex":"https://openalex.org/W4387461819","doi":"https://doi.org/10.22331/q-2023-10-09-1128"},"language":"en","primary_location":{"id":"doi:10.22331/q-2023-10-09-1128","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-10-09-1128","pdf_url":"https://quantum-journal.org/papers/q-2023-10-09-1128/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2023-10-09-1128/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008090667","display_name":"Matteo Lostaglio","orcid":"https://orcid.org/0000-0003-1942-2417"},"institutions":[{"id":"https://openalex.org/I4210099082","display_name":"QuSoft","ror":"https://ror.org/00zq3ce72","country_code":"NL","type":"facility","lineage":["https://openalex.org/I4210099082"]},{"id":"https://openalex.org/I865915315","display_name":"Vrije Universiteit Amsterdam","ror":"https://ror.org/008xxew50","country_code":"NL","type":"education","lineage":["https://openalex.org/I865915315"]},{"id":"https://openalex.org/I887064364","display_name":"University of Amsterdam","ror":"https://ror.org/04dkp9463","country_code":"NL","type":"education","lineage":["https://openalex.org/I887064364"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Matteo Lostaglio","raw_affiliation_strings":["Korteweg-de Vries Institute for Mathematics and QuSoft, University of Amsterdam, The Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Korteweg-de Vries Institute for Mathematics and QuSoft, University of Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I865915315","https://openalex.org/I4210099082","https://openalex.org/I887064364"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043949851","display_name":"Alessio Belenchia","orcid":"https://orcid.org/0000-0002-0347-6763"},"institutions":[{"id":"https://openalex.org/I126231945","display_name":"Queen's University Belfast","ror":"https://ror.org/00hswnk62","country_code":"GB","type":"education","lineage":["https://openalex.org/I126231945"]},{"id":"https://openalex.org/I8087733","display_name":"University of T\u00fcbingen","ror":"https://ror.org/03a1kwz48","country_code":"DE","type":"education","lineage":["https://openalex.org/I8087733"]}],"countries":["DE","GB"],"is_corresponding":false,"raw_author_name":"Alessio Belenchia","raw_affiliation_strings":["Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen&apos;s University Belfast, Belfast BT7 1NN, United Kingdom","Institut f\u00fcr Theoretische Physik, Eberhard-Karls-Universit\u00e4t T\u00fcbingen, 72076 T\u00fcbingen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen&apos;s University Belfast, Belfast BT7 1NN, United Kingdom","institution_ids":["https://openalex.org/I126231945"]},{"raw_affiliation_string":"Institut f\u00fcr Theoretische Physik, Eberhard-Karls-Universit\u00e4t T\u00fcbingen, 72076 T\u00fcbingen, Germany","institution_ids":["https://openalex.org/I8087733"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083702273","display_name":"Amikam Levy","orcid":"https://orcid.org/0000-0003-2643-9620"},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Amikam Levy","raw_affiliation_strings":["Department of Chemistry and Center for Quantum Entanglement Science and Technology, Bar-Ilan University, Ramat-Gan 52900, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry and Center for Quantum Entanglement Science and Technology, Bar-Ilan University, Ramat-Gan 52900, Israel","institution_ids":["https://openalex.org/I13955877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069409038","display_name":"Santiago Hern\u00e1ndez-G\u00f3mez","orcid":"https://orcid.org/0000-0002-2432-5729"},"institutions":[{"id":"https://openalex.org/I4210120496","display_name":"National Institute of Optics","ror":"https://ror.org/02dp3a879","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210120496","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Santiago Hern\u00e1ndez-G\u00f3mez","raw_affiliation_strings":["Dipartimento di Fisica e Astronomia, Universit\u00e0 di Firenze, I-50019, Sesto Fiorentino, Italy","European Laboratory for Non-linear Spectroscopy (LENS), Universit\u00e0 di Firenze, I-50019 Sesto Fiorentino, Italy","Istituto Nazionale di Ottica del Consiglio Nazionale delle Ricerche (CNR-INO), I-50019 Sesto Fiorentino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Fisica e Astronomia, Universit\u00e0 di Firenze, I-50019, Sesto Fiorentino, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"European Laboratory for Non-linear Spectroscopy (LENS), Universit\u00e0 di Firenze, I-50019 Sesto Fiorentino, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Istituto Nazionale di Ottica del Consiglio Nazionale delle Ricerche (CNR-INO), I-50019 Sesto Fiorentino, Italy","institution_ids":["https://openalex.org/I4210120496"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013588275","display_name":"Nicole Fabbri","orcid":"https://orcid.org/0000-0002-0525-0696"},"institutions":[{"id":"https://openalex.org/I4210120496","display_name":"National Institute of Optics","ror":"https://ror.org/02dp3a879","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210120496","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Nicole Fabbri","raw_affiliation_strings":["European Laboratory for Non-linear Spectroscopy (LENS), Universit\u00e0 di Firenze, I-50019 Sesto Fiorentino, Italy","Istituto Nazionale di Ottica del Consiglio Nazionale delle Ricerche (CNR-INO), I-50019 Sesto Fiorentino, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"European Laboratory for Non-linear Spectroscopy (LENS), Universit\u00e0 di Firenze, I-50019 Sesto Fiorentino, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Istituto Nazionale di Ottica del Consiglio Nazionale delle Ricerche (CNR-INO), I-50019 Sesto Fiorentino, Italy","institution_ids":["https://openalex.org/I4210120496"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038373691","display_name":"Stefano Gherardini","orcid":"https://orcid.org/0000-0002-9254-507X"},"institutions":[{"id":"https://openalex.org/I2801626668","display_name":"AREA Science Park","ror":"https://ror.org/01dt7qh15","country_code":"IT","type":"facility","lineage":["https://openalex.org/I2801626668"]},{"id":"https://openalex.org/I4210120496","display_name":"National Institute of Optics","ror":"https://ror.org/02dp3a879","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210120496","https://openalex.org/I4210155236"]},{"id":"https://openalex.org/I45084792","display_name":"University of Florence","ror":"https://ror.org/04jr1s763","country_code":"IT","type":"education","lineage":["https://openalex.org/I45084792"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Gherardini","raw_affiliation_strings":["European Laboratory for Non-linear Spectroscopy (LENS), Universit\u00e0 di Firenze, I-50019 Sesto Fiorentino, Italy","Istituto Nazionale di Ottica del Consiglio Nazionale delle Ricerche (CNR-INO), Area Science Park, Basovizza, I-34149 Trieste, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"European Laboratory for Non-linear Spectroscopy (LENS), Universit\u00e0 di Firenze, I-50019 Sesto Fiorentino, Italy","institution_ids":["https://openalex.org/I45084792"]},{"raw_affiliation_string":"Istituto Nazionale di Ottica del Consiglio Nazionale delle Ricerche (CNR-INO), Area Science Park, Basovizza, I-34149 Trieste, Italy","institution_ids":["https://openalex.org/I2801626668","https://openalex.org/I4210120496"]}]}],"institutions":[],"countries_distinct_count":5,"institutions_distinct_count":9,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":9.7483,"has_fulltext":true,"cited_by_count":67,"citation_normalized_percentile":{"value":0.99083077,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"7","issue":null,"first_page":"1128","last_page":"1128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9990000128746033,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.9983999729156494,"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/observable","display_name":"Observable","score":0.7615560293197632},{"id":"https://openalex.org/keywords/scrambling","display_name":"Scrambling","score":0.6689503788948059},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6179805994033813},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5529808402061462},{"id":"https://openalex.org/keywords/kochen\u2013specker-theorem","display_name":"Kochen\u2013Specker theorem","score":0.5021677017211914},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.4997859001159668},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.49462172389030457},{"id":"https://openalex.org/keywords/theoretical-physics","display_name":"Theoretical physics","score":0.46960386633872986},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.42362916469573975},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1529448926448822}],"concepts":[{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.7615560293197632},{"id":"https://openalex.org/C182548165","wikidata":"https://www.wikidata.org/wiki/Q2261483","display_name":"Scrambling","level":2,"score":0.6689503788948059},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6179805994033813},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5529808402061462},{"id":"https://openalex.org/C193588502","wikidata":"https://www.wikidata.org/wiki/Q528955","display_name":"Kochen\u2013Specker theorem","level":3,"score":0.5021677017211914},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4997859001159668},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.49462172389030457},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.46960386633872986},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.42362916469573975},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1529448926448822},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.22331/q-2023-10-09-1128","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-10-09-1128","pdf_url":"https://quantum-journal.org/papers/q-2023-10-09-1128/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},{"id":"pmh:oai:dare.uva.nl:openaire/3c972b60-d4a4-4e0a-9ce1-760d5c38466e","is_oa":true,"landing_page_url":"https://handle.uba.uva.nl/personal/pure/en/publications/kirkwooddirac-quasiprobability-approach-to-the-statistics-of-incompatible-observables(3c972b60-d4a4-4e0a-9ce1-760d5c38466e).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306400088","display_name":"UvA-DARE (University of Amsterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887064364","host_organization_name":"University of Amsterdam","host_organization_lineage":["https://openalex.org/I887064364"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lostaglio, M, Belenchia, A, Levy, A, Hern\u00e1ndez-G\u00f3mez, S, Fabbri, N & Gherardini, S 2023, 'Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables', Quantum, vol. 7, 1128. https://doi.org/10.22331/q-2023-10-09-1128","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.qub.ac.uk/portal:openaire/a2f78568-cf4d-40ab-b36a-4bec17d6e1b0","is_oa":true,"landing_page_url":"https://pure.qub.ac.uk/en/publications/a2f78568-cf4d-40ab-b36a-4bec17d6e1b0","pdf_url":null,"source":{"id":"https://openalex.org/S4306402319","display_name":"Research Portal (Queen's University Belfast)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126231945","host_organization_name":"Queen's University Belfast","host_organization_lineage":["https://openalex.org/I126231945"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lostaglio, M, Belenchia, A, Levy, A, Hern\u00e1ndez-G\u00f3mez, S, Fabbri, N & Gherardini, S 2023, 'Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables', Quantum, vol. 7, 1128. https://doi.org/10.22331/q-2023-10-09-1128","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:dnet:people______::d10f022e93479ce1e64fec59cc1c4ca5","is_oa":false,"landing_page_url":"https://openportal.ino.cnr.it/doc?id=people______::d10f022e93479ce1e64fec59cc1c4ca5","pdf_url":null,"source":{"id":"https://openalex.org/S7407055307","display_name":"INO Open Portal","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Quantum (Vienna) 7 (2023). doi:10.22331/q-2023-10-09-1128","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"pmh:oai:doaj.org/article:ef1b9f5c034a410080e034507496a64b","is_oa":true,"landing_page_url":"https://doaj.org/article/ef1b9f5c034a410080e034507496a64b","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":"Quantum, Vol 7, p 1128 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2023-10-09-1128","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2023-10-09-1128","pdf_url":"https://quantum-journal.org/papers/q-2023-10-09-1128/pdf/","source":{"id":"https://openalex.org/S4210226432","display_name":"Quantum","issn_l":"2521-327X","issn":["2521-327X"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317900","host_organization_name":"Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften","host_organization_lineage":["https://openalex.org/P4310317900"],"host_organization_lineage_names":["Verein zur F\u00f6rderung des Open Access Publizierens in den Quantenwissenschaften"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G19065579","display_name":null,"funder_award_id":"PNRR MUR project PE0000023-NQSTI","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2372554330","display_name":null,"funder_award_id":"101070546-MUQUABIS","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3184942225","display_name":"Multiscale quantum bio-imaging and spectroscopy","funder_award_id":"101070546","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G3269556148","display_name":null,"funder_award_id":"ID D2B8D520","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G4129145046","display_name":null,"funder_award_id":"B53C22001750006","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5513450649","display_name":null,"funder_award_id":"IR0000016","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5617065420","display_name":null,"funder_award_id":"1364/21","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G6236323351","display_name":null,"funder_award_id":"101070546","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"},{"id":"https://openalex.org/G6578915967","display_name":null,"funder_award_id":"101070546\u2013MUQUABIS","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7455520032","display_name":null,"funder_award_id":"D2B8D520","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7621391830","display_name":null,"funder_award_id":"CUP B53C22001750006","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G777498305","display_name":null,"funder_award_id":"PE0000023-NQSTI","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8458310794","display_name":null,"funder_award_id":"IR0000016, ID D2B8D520, CUP B53C22001750006","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8780137145","display_name":null,"funder_award_id":"BR 5221/4-1","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4387461819.pdf"},"referenced_works_count":184,"referenced_works":["https://openalex.org/W100567491","https://openalex.org/W170550087","https://openalex.org/W206908226","https://openalex.org/W1211184745","https://openalex.org/W1427628407","https://openalex.org/W1489004729","https://openalex.org/W1581324086","https://openalex.org/W1671143355","https://openalex.org/W1772988843","https://openalex.org/W1866911411","https://openalex.org/W1873990957","https://openalex.org/W1939627376","https://openalex.org/W1966046470","https://openalex.org/W1967640780","https://openalex.org/W1968356682","https://openalex.org/W1970457085","https://openalex.org/W1973738754","https://openalex.org/W1975902009","https://openalex.org/W1976065420","https://openalex.org/W1976146236","https://openalex.org/W1977262233","https://openalex.org/W1977436941","https://openalex.org/W1979955444","https://openalex.org/W1985445937","https://openalex.org/W1986310174","https://openalex.org/W1990044269","https://openalex.org/W1995096104","https://openalex.org/W2000629309","https://openalex.org/W2001903741","https://openalex.org/W2004153499","https://openalex.org/W2005140597","https://openalex.org/W2006946994","https://openalex.org/W2007360084","https://openalex.org/W2008244358","https://openalex.org/W2010319355","https://openalex.org/W2011033654","https://openalex.org/W2017674988","https://openalex.org/W2018484468","https://openalex.org/W2018763953","https://openalex.org/W2025130480","https://openalex.org/W2029593912","https://openalex.org/W2030959471","https://openalex.org/W2031147858","https://openalex.org/W2032873922","https://openalex.org/W2033667746","https://openalex.org/W2034151643","https://openalex.org/W2035306310","https://openalex.org/W2037511573","https://openalex.org/W2039032358","https://openalex.org/W2041765604","https://openalex.org/W2044617104","https://openalex.org/W2045667154","https://openalex.org/W2051869207","https://openalex.org/W2056471637","https://openalex.org/W2058558225","https://openalex.org/W2059902766","https://openalex.org/W2062232444","https://openalex.org/W2067285064","https://openalex.org/W2068904019","https://openalex.org/W2068943666","https://openalex.org/W2069738487","https://openalex.org/W2075231714","https://openalex.org/W2075717983","https://openalex.org/W2076797207","https://openalex.org/W2079251625","https://openalex.org/W2080936681","https://openalex.org/W2083423624","https://openalex.org/W2084800787","https://openalex.org/W2086086067","https://openalex.org/W2086818467","https://openalex.org/W2088203447","https://openalex.org/W2090099030","https://openalex.org/W2090781531","https://openalex.org/W2094706601","https://openalex.org/W2096870234","https://openalex.org/W2102277728","https://openalex.org/W2124424234","https://openalex.org/W2140606369","https://openalex.org/W2149801992","https://openalex.org/W2151549005","https://openalex.org/W2156167334","https://openalex.org/W2165310128","https://openalex.org/W2165878107","https://openalex.org/W2224793036","https://openalex.org/W2228259595","https://openalex.org/W2343452920","https://openalex.org/W2460640555","https://openalex.org/W2465055819","https://openalex.org/W2481849377","https://openalex.org/W2496967653","https://openalex.org/W2553093917","https://openalex.org/W2561716870","https://openalex.org/W2575029607","https://openalex.org/W2595937684","https://openalex.org/W2596365973","https://openalex.org/W2597238198","https://openalex.org/W2604812643","https://openalex.org/W2606291854","https://openalex.org/W2614403044","https://openalex.org/W2614563194","https://openalex.org/W2615114432","https://openalex.org/W2617765364","https://openalex.org/W2619014042","https://openalex.org/W2744960158","https://openalex.org/W2751442709","https://openalex.org/W2757497522","https://openalex.org/W2767208821","https://openalex.org/W2782535647","https://openalex.org/W2782746958","https://openalex.org/W2783971937","https://openalex.org/W2794622689","https://openalex.org/W2798821997","https://openalex.org/W2798950466","https://openalex.org/W2803523226","https://openalex.org/W2804393391","https://openalex.org/W2804753773","https://openalex.org/W2810492604","https://openalex.org/W2901678422","https://openalex.org/W2902293512","https://openalex.org/W2905186337","https://openalex.org/W2921746574","https://openalex.org/W2952022598","https://openalex.org/W2952284398","https://openalex.org/W2964008745","https://openalex.org/W2964221266","https://openalex.org/W2975251313","https://openalex.org/W2976457005","https://openalex.org/W2998030674","https://openalex.org/W3004264692","https://openalex.org/W3013652432","https://openalex.org/W3016493622","https://openalex.org/W3027162283","https://openalex.org/W3081099707","https://openalex.org/W3083969660","https://openalex.org/W3098430537","https://openalex.org/W3098518900","https://openalex.org/W3099628945","https://openalex.org/W3101135901","https://openalex.org/W3101545261","https://openalex.org/W3101665548","https://openalex.org/W3102395420","https://openalex.org/W3102988185","https://openalex.org/W3103004016","https://openalex.org/W3103248977","https://openalex.org/W3103453217","https://openalex.org/W3103758756","https://openalex.org/W3104292262","https://openalex.org/W3104489542","https://openalex.org/W3104901089","https://openalex.org/W3106519548","https://openalex.org/W3109160476","https://openalex.org/W3112129270","https://openalex.org/W3126478811","https://openalex.org/W3127073743","https://openalex.org/W3134827774","https://openalex.org/W3153764682","https://openalex.org/W3158982376","https://openalex.org/W3159368533","https://openalex.org/W3165898261","https://openalex.org/W3169404074","https://openalex.org/W3169764485","https://openalex.org/W3190624956","https://openalex.org/W3207295180","https://openalex.org/W3208062193","https://openalex.org/W3210159903","https://openalex.org/W3210848667","https://openalex.org/W3214085587","https://openalex.org/W3215728427","https://openalex.org/W4221153315","https://openalex.org/W4243174996","https://openalex.org/W4254520901","https://openalex.org/W4287207379","https://openalex.org/W4288099348","https://openalex.org/W4298332304","https://openalex.org/W4307505085","https://openalex.org/W4327673534","https://openalex.org/W4376163489","https://openalex.org/W4376864565","https://openalex.org/W4383374405","https://openalex.org/W4386048102","https://openalex.org/W4386541187","https://openalex.org/W4386615118","https://openalex.org/W4388167314","https://openalex.org/W6966527139"],"related_works":["https://openalex.org/W69312893","https://openalex.org/W2349686135","https://openalex.org/W84934912","https://openalex.org/W936781193","https://openalex.org/W2353936545","https://openalex.org/W2153933599","https://openalex.org/W4297633779","https://openalex.org/W2287132719","https://openalex.org/W2599673288","https://openalex.org/W2561416319"],"abstract_inverted_index":{"Recent":[0],"work":[1],"has":[2],"revealed":[3],"the":[4,9,23,51,55,58,68,75,83,94,126],"central":[5],"role":[6,69],"played":[7,70],"by":[8,71,117],"Kirkwood-Dirac":[10],"quasiprobability":[11],"(KDQ)":[12],"as":[13],"a":[14,119],"tool":[15],"to":[16,124],"properly":[17],"account":[18],"for":[19],"non-classical":[20],"features":[21],"in":[22,73,82],"context":[24],"of":[25,54,77,85,122],"condensed":[26],"matter":[27],"physics":[28],"(scrambling,":[29],"dynamical":[30],"phase":[31],"transitions)":[32],"metrology":[33],"(standard":[34],"and":[35,40,48,80,98,106,114,128],"post-selected),":[36],"thermodynamics":[37],"(power":[38],"output":[39],"fluctuation":[41],"theorems),":[42],"foundations":[43],"(contextuality,":[44],"anomalous":[45],"weak":[46,107],"values)":[47],"more.":[49],"Given":[50],"growing":[52],"relevance":[53],"KDQ":[56,95,127],"across":[57],"quantum":[59,78,100,102],"sciences,":[60],"our":[61],"aim":[62],"is":[63],"two-fold:":[64],"First,":[65],"we":[66,91,110],"highlight":[67],"quasiprobabilities":[72],"characterizing":[74],"statistics":[76],"observables":[79],"processes":[81],"presence":[84],"measurement":[86],"incompatibility.":[87],"In":[88],"this":[89],"way,":[90],"show":[92],"how":[93],"naturally":[96],"underpins":[97],"unifies":[99],"correlators,":[101],"currents,":[103],"Loschmidt":[104],"echoes,":[105],"values.":[108],"Second,":[109],"provide":[111],"novel":[112],"theoretical":[113],"experimental":[115],"perspectives":[116],"discussing":[118],"wide":[120],"variety":[121],"schemes":[123],"access":[125],"its":[129],"non-classicality":[130],"features.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":12},{"year":2025,"cited_by_count":25},{"year":2024,"cited_by_count":26},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
