{"id":"https://openalex.org/W4416295023","doi":"https://doi.org/10.22331/q-2025-11-17-1914","title":"Optimal Fermionic Joint Measurements for Estimating Non-Commuting Majorana Observables","display_name":"Optimal Fermionic Joint Measurements for Estimating Non-Commuting Majorana Observables","publication_year":2025,"publication_date":"2025-11-17","ids":{"openalex":"https://openalex.org/W4416295023","doi":"https://doi.org/10.22331/q-2025-11-17-1914"},"language":"en","primary_location":{"id":"doi:10.22331/q-2025-11-17-1914","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-11-17-1914","pdf_url":"https://quantum-journal.org/papers/q-2025-11-17-1914/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":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://quantum-journal.org/papers/q-2025-11-17-1914/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023784155","display_name":"Daniel McNulty","orcid":"https://orcid.org/0000-0002-3276-0587"},"institutions":[{"id":"https://openalex.org/I3019243323","display_name":"Center for Theoretical Physics","ror":"https://ror.org/04kfyt897","country_code":"PL","type":"facility","lineage":["https://openalex.org/I3019243323","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I5561750","display_name":"University of Bari Aldo Moro","ror":"https://ror.org/027ynra39","country_code":"IT","type":"education","lineage":["https://openalex.org/I5561750"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["IT","PL"],"is_corresponding":false,"raw_author_name":"Daniel McNulty","raw_affiliation_strings":["Center for Theoretical Physics, Polish Academy of Sciences, Al. Lotnik\u00f3w 32/46, 02-668 Warszawa, Poland","Dipartimento di Fisica, Universit\u00e0 di Bari, 70126 Bari, Italy"],"raw_orcid":"https://orcid.org/0000-0002-3276-0587","affiliations":[{"raw_affiliation_string":"Center for Theoretical Physics, Polish Academy of Sciences, Al. Lotnik\u00f3w 32/46, 02-668 Warszawa, Poland","institution_ids":["https://openalex.org/I3019243323","https://openalex.org/I99542240"]},{"raw_affiliation_string":"Dipartimento di Fisica, Universit\u00e0 di Bari, 70126 Bari, Italy","institution_ids":["https://openalex.org/I5561750"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053198348","display_name":"Susane Calegari","orcid":"https://orcid.org/0000-0001-7805-2220"},"institutions":[{"id":"https://openalex.org/I3019243323","display_name":"Center for Theoretical Physics","ror":"https://ror.org/04kfyt897","country_code":"PL","type":"facility","lineage":["https://openalex.org/I3019243323","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Susane Calegari","raw_affiliation_strings":["Center for Theoretical Physics, Polish Academy of Sciences, Al. Lotnik\u00f3w 32/46, 02-668 Warszawa, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Center for Theoretical Physics, Polish Academy of Sciences, Al. Lotnik\u00f3w 32/46, 02-668 Warszawa, Poland","institution_ids":["https://openalex.org/I3019243323","https://openalex.org/I99542240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010835114","display_name":"Micha\u0142 Oszmaniec","orcid":"https://orcid.org/0000-0002-4946-6835"},"institutions":[{"id":"https://openalex.org/I3019243323","display_name":"Center for Theoretical Physics","ror":"https://ror.org/04kfyt897","country_code":"PL","type":"facility","lineage":["https://openalex.org/I3019243323","https://openalex.org/I99542240"]},{"id":"https://openalex.org/I4210136276","display_name":"NASK National Research Institute","ror":"https://ror.org/03ajsaw82","country_code":"PL","type":"facility","lineage":["https://openalex.org/I4210136276"]},{"id":"https://openalex.org/I99542240","display_name":"Polish Academy of Sciences","ror":"https://ror.org/01dr6c206","country_code":"PL","type":"government","lineage":["https://openalex.org/I99542240"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Micha\u0142 Oszmaniec","raw_affiliation_strings":["Center for Theoretical Physics, Polish Academy of Sciences, Al. Lotnik\u00f3w 32/46, 02-668 Warszawa, Poland","NASK National Research Institute, ul. Kolska 12, 01-045 Warszawa, Poland"],"raw_orcid":"https://orcid.org/0000-0002-4946-6835","affiliations":[{"raw_affiliation_string":"Center for Theoretical Physics, Polish Academy of Sciences, Al. Lotnik\u00f3w 32/46, 02-668 Warszawa, Poland","institution_ids":["https://openalex.org/I3019243323","https://openalex.org/I99542240"]},{"raw_affiliation_string":"NASK National Research Institute, ul. Kolska 12, 01-045 Warszawa, Poland","institution_ids":["https://openalex.org/I4210136276"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"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":0.5858,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.69583375,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"9","issue":null,"first_page":"1914","last_page":"1914"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10657","display_name":"Topological Materials and Phenomena","score":0.23849999904632568,"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/T10657","display_name":"Topological Materials and Phenomena","score":0.23849999904632568,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.2102999985218048,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.156700000166893,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/majorana","display_name":"MAJORANA","score":0.9140999913215637},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.8535000085830688},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.43369999527931213},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.42989999055862427},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.3594000041484833},{"id":"https://openalex.org/keywords/superselection","display_name":"Superselection","score":0.35839998722076416},{"id":"https://openalex.org/keywords/majorana-equation","display_name":"Majorana equation","score":0.35260000824928284}],"concepts":[{"id":"https://openalex.org/C2778761060","wikidata":"https://www.wikidata.org/wiki/Q6714234","display_name":"MAJORANA","level":3,"score":0.9140999913215637},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.8535000085830688},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5645999908447266},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.43369999527931213},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.42989999055862427},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.3698999881744385},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3625999987125397},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.3594000041484833},{"id":"https://openalex.org/C2781002276","wikidata":"https://www.wikidata.org/wiki/Q5930120","display_name":"Superselection","level":3,"score":0.35839998722076416},{"id":"https://openalex.org/C45969854","wikidata":"https://www.wikidata.org/wiki/Q2727849","display_name":"Majorana equation","level":5,"score":0.35260000824928284},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.35100001096725464},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.3312000036239624},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3156999945640564},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30959999561309814},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3061999976634979},{"id":"https://openalex.org/C186453547","wikidata":"https://www.wikidata.org/wiki/Q2126","display_name":"Neutrino","level":2,"score":0.2904999852180481},{"id":"https://openalex.org/C96469262","wikidata":"https://www.wikidata.org/wiki/Q1324364","display_name":"Homogeneous space","level":2,"score":0.2842999994754791},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.2727000117301941},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.265500009059906},{"id":"https://openalex.org/C18555067","wikidata":"https://www.wikidata.org/wiki/Q8375051","display_name":"Joint (building)","level":2,"score":0.2572999894618988},{"id":"https://openalex.org/C52233224","wikidata":"https://www.wikidata.org/wiki/Q44363","display_name":"Fermion","level":2,"score":0.2549000084400177}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.22331/q-2025-11-17-1914","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-11-17-1914","pdf_url":"https://quantum-journal.org/papers/q-2025-11-17-1914/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:arXiv.org:2402.19349","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2402.19349","pdf_url":"https://arxiv.org/pdf/2402.19349","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:doaj.org/article:302fea9108a44f4382c68edf5e2daa42","is_oa":true,"landing_page_url":"https://doaj.org/article/302fea9108a44f4382c68edf5e2daa42","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 9, p 1914 (2025)","raw_type":"article"},{"id":"pmh:oai:ricerca.uniba.it:11586/579020","is_oa":false,"landing_page_url":"https://hdl.handle.net/11586/579020","pdf_url":null,"source":{"id":"https://openalex.org/S4377196296","display_name":"CINECA IRIS Institutional Research Information System (University of Bari Aldo Moro)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I5561750","host_organization_name":"University of Bari Aldo Moro","host_organization_lineage":["https://openalex.org/I5561750"],"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"},{"id":"doi:10.48550/arxiv.2402.19349","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2402.19349","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.22331/q-2025-11-17-1914","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2025-11-17-1914","pdf_url":"https://quantum-journal.org/papers/q-2025-11-17-1914/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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4416295023.pdf"},"referenced_works_count":79,"referenced_works":["https://openalex.org/W34349718","https://openalex.org/W37429376","https://openalex.org/W1557811053","https://openalex.org/W1663839511","https://openalex.org/W1860626550","https://openalex.org/W1966783337","https://openalex.org/W1972867157","https://openalex.org/W1977557377","https://openalex.org/W1980700804","https://openalex.org/W1992082016","https://openalex.org/W1998114083","https://openalex.org/W1998283131","https://openalex.org/W2002320543","https://openalex.org/W2005537321","https://openalex.org/W2006115504","https://openalex.org/W2007833526","https://openalex.org/W2027003240","https://openalex.org/W2034102356","https://openalex.org/W2034775738","https://openalex.org/W2069149225","https://openalex.org/W2087826472","https://openalex.org/W2104885095","https://openalex.org/W2147265170","https://openalex.org/W2166580678","https://openalex.org/W2168154069","https://openalex.org/W2207074953","https://openalex.org/W2257937122","https://openalex.org/W2297918601","https://openalex.org/W2313497592","https://openalex.org/W2327745271","https://openalex.org/W2337508203","https://openalex.org/W2521120154","https://openalex.org/W2562459139","https://openalex.org/W2606613097","https://openalex.org/W2755255888","https://openalex.org/W2769838435","https://openalex.org/W2781738013","https://openalex.org/W2800701499","https://openalex.org/W2804077795","https://openalex.org/W2808319042","https://openalex.org/W2811425173","https://openalex.org/W2904809778","https://openalex.org/W2907422001","https://openalex.org/W2907827190","https://openalex.org/W2937296734","https://openalex.org/W2943523237","https://openalex.org/W2946890249","https://openalex.org/W2954292307","https://openalex.org/W2964070575","https://openalex.org/W2964421692","https://openalex.org/W2967803592","https://openalex.org/W2969454111","https://openalex.org/W2981609386","https://openalex.org/W2989573127","https://openalex.org/W2995465990","https://openalex.org/W2999682805","https://openalex.org/W3006823398","https://openalex.org/W3011472404","https://openalex.org/W3015289174","https://openalex.org/W3015520254","https://openalex.org/W3018348740","https://openalex.org/W3037811760","https://openalex.org/W3097716063","https://openalex.org/W3099477842","https://openalex.org/W3107600208","https://openalex.org/W3117932051","https://openalex.org/W3207890715","https://openalex.org/W3214892380","https://openalex.org/W4205505683","https://openalex.org/W4213212652","https://openalex.org/W4233413206","https://openalex.org/W4240505176","https://openalex.org/W4319304627","https://openalex.org/W4323660344","https://openalex.org/W4384935381","https://openalex.org/W4385719952","https://openalex.org/W4388087330","https://openalex.org/W4406382943","https://openalex.org/W4409237716"],"related_works":[],"abstract_inverted_index":{"An":[0],"important":[1],"class":[2],"of":[3,18,29,41,60,67,97,119,177,186],"fermionic":[4,11,114,178,209,213],"observables,":[5,70],"relevant":[6],"in":[7],"tasks":[8],"such":[9],"as":[10,71],"partial":[12],"tomography":[13],"and":[14,181],"estimating":[15,208],"energy":[16],"levels":[17],"chemical":[19],"Hamiltonians,":[20],"are":[21],"the":[22,27,64,68,74,80,84,94,98,116,168,184],"binary":[23],"measurements":[24],"obtained":[25],"from":[26,183],"product":[28],"anti-commuting":[30],"Majorana":[31,58,69,127,188],"operators.":[32],"In":[33,102],"this":[34],"work,":[35],"we":[36,77,104,161],"investigate":[37],"efficient":[38],"estimation":[39],"strategies":[40],"these":[42],"observables":[43,59,128,210],"based":[44],"on":[45],"a":[46,163,174,198],"joint":[47,90,164,191],"measurement":[48,165],"which,":[49],"after":[50],"classical":[51,86,214],"post-processing,":[52],"yields":[53],"all":[54,120,187],"sufficiently":[55],"unsharp":[56],"(noisy)":[57],"even-degree.":[61],"By":[62],"exploiting":[63],"symmetry":[65],"properties":[66,96],"described":[72],"by":[73,173],"braid":[75],"group,":[76],"show":[78,105],"that":[79,106],"incompatibility":[81,117],"robustness,":[82],"i.e.,":[83],"minimal":[85],"noise":[87],"necessary":[88],"for":[89,107,152,207],"measurability,":[91],"relates":[92],"to":[93],"spectral":[95],"Sachdev-Ye-Kitaev":[99],"(SYK)":[100],"model.":[101],"particular,":[103],"an":[108],"<mml:math":[109,122,130,153],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[110,123,131,154],"<mml:mi>n</mml:mi>":[111,137],"</mml:math>":[112,126,151,158],"mode":[113],"system,":[115],"robustness":[118],"degree-":[121],"<mml:mn>2</mml:mn>":[124,146],"<mml:mi>k</mml:mi>":[125,141,155],"satisfies":[129],"<mml:mi":[132],"mathvariant=\"normal\">&amp;#x0398;</mml:mi>":[133],"<mml:mo":[134,149],"stretchy=\"false\">(</mml:mo>":[135],"<mml:msup>":[136],"<mml:mrow":[138,142],"class=\"MJX-TeXAtom-ORD\">":[139,143],"<mml:mo>&amp;#x2212;</mml:mo>":[140],"<mml:mo>/</mml:mo>":[144],"</mml:mrow>":[145,147],"</mml:msup>":[148],"stretchy=\"false\">)</mml:mo>":[150],"<mml:mo>&amp;#x2264;</mml:mo>":[156],"<mml:mn>5</mml:mn>":[157],".":[159],"Furthermore,":[160],"present":[162],"scheme":[166],"achieving":[167],"asymptotically":[169],"optimal":[170],"noise,":[171],"implemented":[172],"small":[175],"number":[176],"Gaussian":[179],"unitaries":[180],"sampling":[182],"set":[185],"monomials.":[189],"Our":[190],"measurement,":[192],"which":[193],"can":[194],"be":[195],"performed":[196],"via":[197],"randomization":[199],"over":[200],"projective":[201],"measurements,":[202],"provides":[203],"rigorous":[204],"performance":[205],"guarantees":[206],"comparable":[211],"with":[212],"shadows.":[215]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}