{"id":"https://openalex.org/W4391375651","doi":"https://doi.org/10.22331/q-2024-01-30-1236","title":"Bounding entanglement dimensionality from the covariance matrix","display_name":"Bounding entanglement dimensionality from the covariance matrix","publication_year":2024,"publication_date":"2024-01-30","ids":{"openalex":"https://openalex.org/W4391375651","doi":"https://doi.org/10.22331/q-2024-01-30-1236"},"language":"en","primary_location":{"id":"doi:10.22331/q-2024-01-30-1236","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-01-30-1236","pdf_url":"https://quantum-journal.org/papers/q-2024-01-30-1236/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-2024-01-30-1236/pdf/","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048293052","display_name":"Shuheng Liu","orcid":"https://orcid.org/0000-0001-7130-1888"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I3132079568","display_name":"Institute for Quantum Optics and Quantum Information Innsbruck","ror":"https://ror.org/056hzt889","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I3132079568"]},{"id":"https://openalex.org/I4210100980","display_name":"Vienna Center for Quantum Science and Technology","ror":"https://ror.org/014cpn338","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422","https://openalex.org/I138211613","https://openalex.org/I145847075","https://openalex.org/I4210100980"]},{"id":"https://openalex.org/I4210127494","display_name":"Collaborative Innovation Center of Quantum Matter","ror":"https://ror.org/03jn38r85","country_code":"CN","type":"facility","lineage":["https://openalex.org/I20231570","https://openalex.org/I4210127494","https://openalex.org/I99065089"]}],"countries":["AT","CN"],"is_corresponding":true,"raw_author_name":"Shuheng Liu","raw_affiliation_strings":["Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, 1090 Vienna, Austria","State Key Laboratory for Mesoscopic Physics, School of Physics, Frontiers Science Center for Nano-optoelectronics, & Collaborative Innovation Center of Quantum Matter, Peking University, Beijing 100871, China","Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1020 Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, 1090 Vienna, Austria","institution_ids":["https://openalex.org/I3132079568","https://openalex.org/I138211613"]},{"raw_affiliation_string":"State Key Laboratory for Mesoscopic Physics, School of Physics, Frontiers Science Center for Nano-optoelectronics, & Collaborative Innovation Center of Quantum Matter, Peking University, Beijing 100871, China","institution_ids":["https://openalex.org/I4210127494","https://openalex.org/I20231570"]},{"raw_affiliation_string":"Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1020 Vienna, Austria","institution_ids":["https://openalex.org/I4210100980","https://openalex.org/I145847075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021995308","display_name":"Matteo Fadel","orcid":"https://orcid.org/0000-0003-3653-0030"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Matteo Fadel","raw_affiliation_strings":["Department of Physics, ETH Z\u00fcrich, 8093 Z\u00fcrich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Physics, ETH Z\u00fcrich, 8093 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050279691","display_name":"Qiongyi He","orcid":"https://orcid.org/0000-0002-2408-4320"},"institutions":[{"id":"https://openalex.org/I181877577","display_name":"Shanxi University","ror":"https://ror.org/03y3e3s17","country_code":"CN","type":"education","lineage":["https://openalex.org/I181877577"]},{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]},{"id":"https://openalex.org/I39774598","display_name":"Hefei University","ror":"https://ror.org/01f5rdf64","country_code":"CN","type":"education","lineage":["https://openalex.org/I39774598"]},{"id":"https://openalex.org/I4210127494","display_name":"Collaborative Innovation Center of Quantum Matter","ror":"https://ror.org/03jn38r85","country_code":"CN","type":"facility","lineage":["https://openalex.org/I20231570","https://openalex.org/I4210127494","https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiongyi He","raw_affiliation_strings":["Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, China","Hefei National Laboratory, Hefei 230088, China","State Key Laboratory for Mesoscopic Physics, School of Physics, Frontiers Science Center for Nano-optoelectronics, & Collaborative Innovation Center of Quantum Matter, Peking University, Beijing 100871, China"],"affiliations":[{"raw_affiliation_string":"Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 030006, China","institution_ids":["https://openalex.org/I181877577"]},{"raw_affiliation_string":"Hefei National Laboratory, Hefei 230088, China","institution_ids":["https://openalex.org/I39774598"]},{"raw_affiliation_string":"State Key Laboratory for Mesoscopic Physics, School of Physics, Frontiers Science Center for Nano-optoelectronics, & Collaborative Innovation Center of Quantum Matter, Peking University, Beijing 100871, China","institution_ids":["https://openalex.org/I4210127494","https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027058735","display_name":"Marcus Huber","orcid":"https://orcid.org/0000-0003-1985-4623"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]},{"id":"https://openalex.org/I3132079568","display_name":"Institute for Quantum Optics and Quantum Information Innsbruck","ror":"https://ror.org/056hzt889","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I3132079568"]},{"id":"https://openalex.org/I4210100980","display_name":"Vienna Center for Quantum Science and Technology","ror":"https://ror.org/014cpn338","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422","https://openalex.org/I138211613","https://openalex.org/I145847075","https://openalex.org/I4210100980"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Marcus Huber","raw_affiliation_strings":["Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, 1090 Vienna, Austria","Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1020 Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, 1090 Vienna, Austria","institution_ids":["https://openalex.org/I3132079568","https://openalex.org/I138211613"]},{"raw_affiliation_string":"Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1020 Vienna, Austria","institution_ids":["https://openalex.org/I4210100980","https://openalex.org/I145847075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042262914","display_name":"Giuseppe Vitagliano","orcid":"https://orcid.org/0000-0002-5563-3222"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]},{"id":"https://openalex.org/I3132079568","display_name":"Institute for Quantum Optics and Quantum Information Innsbruck","ror":"https://ror.org/056hzt889","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I3132079568"]},{"id":"https://openalex.org/I4210100980","display_name":"Vienna Center for Quantum Science and Technology","ror":"https://ror.org/014cpn338","country_code":"AT","type":"education","lineage":["https://openalex.org/I129774422","https://openalex.org/I138211613","https://openalex.org/I145847075","https://openalex.org/I4210100980"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Giuseppe Vitagliano","raw_affiliation_strings":["Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, 1090 Vienna, Austria","Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1020 Vienna, Austria"],"affiliations":[{"raw_affiliation_string":"Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, 1090 Vienna, Austria","institution_ids":["https://openalex.org/I3132079568","https://openalex.org/I138211613"]},{"raw_affiliation_string":"Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, 1020 Vienna, Austria","institution_ids":["https://openalex.org/I4210100980","https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5048293052"],"corresponding_institution_ids":["https://openalex.org/I138211613","https://openalex.org/I145847075","https://openalex.org/I20231570","https://openalex.org/I3132079568","https://openalex.org/I4210100980","https://openalex.org/I4210127494"],"apc_list":{"value":200,"currency":"EUR","value_usd":215},"apc_paid":{"value":200,"currency":"EUR","value_usd":215},"fwci":5.4283,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.96059113,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"8","issue":null,"first_page":"1236","last_page":"1236"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10020","display_name":"Quantum Information and Cryptography","score":0.9998999834060669,"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/T10425","display_name":"Cold Atom Physics and Bose-Einstein Condensates","score":0.9994000196456909,"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/T10622","display_name":"Quantum Mechanics and Applications","score":0.9991000294685364,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"Quantum entanglement","score":0.6999911069869995},{"id":"https://openalex.org/keywords/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.5705075263977051},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.5128543376922607},{"id":"https://openalex.org/keywords/covariance-matrix","display_name":"Covariance matrix","score":0.4985017776489258},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4921237826347351},{"id":"https://openalex.org/keywords/bounding-overwatch","display_name":"Bounding overwatch","score":0.4667865037918091},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.46232110261917114},{"id":"https://openalex.org/keywords/observable","display_name":"Observable","score":0.46055638790130615},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4363616704940796},{"id":"https://openalex.org/keywords/fidelity","display_name":"Fidelity","score":0.4286864697933197},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.42178091406822205},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.36706089973449707},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.363326758146286},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3505384027957916},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3221166729927063},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.23335230350494385},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.22590622305870056},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.18002501130104065},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.15098866820335388}],"concepts":[{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.6999911069869995},{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.5705075263977051},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.5128543376922607},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.4985017776489258},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4921237826347351},{"id":"https://openalex.org/C63584917","wikidata":"https://www.wikidata.org/wiki/Q333286","display_name":"Bounding overwatch","level":2,"score":0.4667865037918091},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.46232110261917114},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.46055638790130615},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4363616704940796},{"id":"https://openalex.org/C2776459999","wikidata":"https://www.wikidata.org/wiki/Q2119376","display_name":"Fidelity","level":2,"score":0.4286864697933197},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.42178091406822205},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.36706089973449707},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.363326758146286},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3505384027957916},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3221166729927063},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.23335230350494385},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.22590622305870056},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.18002501130104065},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.15098866820335388},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.22331/q-2024-01-30-1236","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-01-30-1236","pdf_url":"https://quantum-journal.org/papers/q-2024-01-30-1236/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:doaj.org/article:38877cff21b94b3884bff77ac601f79d","is_oa":true,"landing_page_url":"https://doaj.org/article/38877cff21b94b3884bff77ac601f79d","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":"Quantum, Vol 8, p 1236 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.22331/q-2024-01-30-1236","is_oa":true,"landing_page_url":"https://doi.org/10.22331/q-2024-01-30-1236","pdf_url":"https://quantum-journal.org/papers/q-2024-01-30-1236/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/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1426318481","display_name":null,"funder_award_id":"grant","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G1760423540","display_name":"C*-Algebras, K-theory and Groups","funder_award_id":"0200601","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G18359067","display_name":"Collaborative Research: A new model for producing science documentaries: Building collaborations between scientists and storytellers to test methods of communication in film","funder_award_id":"2006010","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2003785865","display_name":"Studien zu ausgew\u00e4hlten Motiven auf Stempelsiegeln aus Pal\u00e4stina.","funder_award_id":"20060","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2446864331","display_name":"EAGER: Complete 3D imaging of needle biopsy to diagnose pancreatic cancer","funder_award_id":"1212540","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3028495583","display_name":"Incidence r\u00e9gionale des march\u00e9s, des emplois et des services publics","funder_award_id":"10437","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G3085993365","display_name":null,"funder_award_id":"(Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3137936280","display_name":"Conjugative Sigmatropic Rearrangements as Efficient Methods for Catalytic Asymmetric C-C Bond Formations","funder_award_id":"119750","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G314018747","display_name":null,"funder_award_id":"2020060","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3308174190","display_name":null,"funder_award_id":"Consolidator grant","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3667512432","display_name":"Workshop on Pseudo-Triangulations to be held Jan. 26 - Feb. 2, 2001 at McGill University, Barbados, West Indies","funder_award_id":"0104370","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3851513873","display_name":"Der Parthenon in Basel: Dokumentation zum Fries","funder_award_id":"43705","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4056658004","display_name":null,"funder_award_id":"202006010302","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G4097309103","display_name":"Soziale Reintegration in der Schulklasse","funder_award_id":"10302","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G4247904154","display_name":null,"funder_award_id":"European Research Council","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G430625229","display_name":null,"funder_award_id":"202006","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4621158401","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G500587280","display_name":null,"funder_award_id":"P 35810","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G5012795314","display_name":null,"funder_award_id":"12125402","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5241471291","display_name":null,"funder_award_id":"Quantum Science and Technology","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5902304366","display_name":"Eigenschaften von Polyamiden mit steifen und flexiblen Segmenten.","funder_award_id":"20200","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6422990449","display_name":null,"funder_award_id":"P 36633","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G6562385157","display_name":"Physiopathology of the oral mucosa, molecular aspects","funder_award_id":"30150","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G6894402473","display_name":null,"funder_award_id":"Fellowship","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7033253288","display_name":null,"funder_award_id":"Grants","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7055104277","display_name":null,"funder_award_id":"119750","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7079690791","display_name":"N/A","funder_award_id":"6010302","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7726157001","display_name":null,"funder_award_id":"Grant No.","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7908549196","display_name":"Das bernische Sittengericht als Motor der 'Zivilisation' 1580-1800.","funder_award_id":"25402","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"},{"id":"https://openalex.org/G8123467478","display_name":null,"funder_award_id":"11975026","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8253062109","display_name":null,"funder_award_id":"ZK 3 (Zukunftskolleg)","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8589651859","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G8624559734","display_name":null,"funder_award_id":"11975026, 12125402","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8966091461","display_name":"Cing si\u00e8cles d'histoire religieuse neuch\u00e2teloise. Approches d'une tradition protestante","funder_award_id":"104370","funder_id":"https://openalex.org/F4320320924","funder_display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320924","display_name":"Schweizerischer Nationalfonds zur F\u00f6rderung der Wissenschaftlichen Forschung","ror":"https://ror.org/00yjd3n13"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320321652","display_name":"Eidgen\u00f6ssische Technische Hochschule Z\u00fcrich","ror":"https://ror.org/05a28rw58"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4391375651.pdf"},"referenced_works_count":93,"referenced_works":["https://openalex.org/W1488435683","https://openalex.org/W1529624360","https://openalex.org/W1981943289","https://openalex.org/W1982683415","https://openalex.org/W1983265741","https://openalex.org/W1986821637","https://openalex.org/W1993828178","https://openalex.org/W1995799509","https://openalex.org/W2000407553","https://openalex.org/W2003326660","https://openalex.org/W2006099234","https://openalex.org/W2012406682","https://openalex.org/W2017373958","https://openalex.org/W2019203881","https://openalex.org/W2021612706","https://openalex.org/W2026431827","https://openalex.org/W2027990616","https://openalex.org/W2028549339","https://openalex.org/W2034920898","https://openalex.org/W2036329837","https://openalex.org/W2038943723","https://openalex.org/W2048680711","https://openalex.org/W2053478324","https://openalex.org/W2053834448","https://openalex.org/W2055199227","https://openalex.org/W2057104066","https://openalex.org/W2058168008","https://openalex.org/W2069265263","https://openalex.org/W2073384645","https://openalex.org/W2074073476","https://openalex.org/W2074093825","https://openalex.org/W2074848738","https://openalex.org/W2084160582","https://openalex.org/W2090368878","https://openalex.org/W2090807706","https://openalex.org/W2091710834","https://openalex.org/W2096089357","https://openalex.org/W2132578652","https://openalex.org/W2134220584","https://openalex.org/W2156500023","https://openalex.org/W2183109806","https://openalex.org/W2196764475","https://openalex.org/W2299123705","https://openalex.org/W2396529117","https://openalex.org/W2401426967","https://openalex.org/W2560407272","https://openalex.org/W2617491402","https://openalex.org/W2738516251","https://openalex.org/W2739918214","https://openalex.org/W2744558477","https://openalex.org/W2744706164","https://openalex.org/W2767966692","https://openalex.org/W2786363403","https://openalex.org/W2788209674","https://openalex.org/W2801395142","https://openalex.org/W2905534667","https://openalex.org/W2951432180","https://openalex.org/W2952922913","https://openalex.org/W2954033858","https://openalex.org/W2991100542","https://openalex.org/W2994845032","https://openalex.org/W3015019218","https://openalex.org/W3015264836","https://openalex.org/W3018627994","https://openalex.org/W3037737784","https://openalex.org/W3038000163","https://openalex.org/W3041790041","https://openalex.org/W3096582819","https://openalex.org/W3098703692","https://openalex.org/W3099091343","https://openalex.org/W3100330482","https://openalex.org/W3102512968","https://openalex.org/W3103485180","https://openalex.org/W3106063418","https://openalex.org/W3117180717","https://openalex.org/W3121885110","https://openalex.org/W3123349465","https://openalex.org/W3123449991","https://openalex.org/W3133844222","https://openalex.org/W3156367693","https://openalex.org/W3173659533","https://openalex.org/W3174867694","https://openalex.org/W3203533083","https://openalex.org/W3209189489","https://openalex.org/W4294015797","https://openalex.org/W4300941436","https://openalex.org/W4319738789","https://openalex.org/W4320351231","https://openalex.org/W4320914829","https://openalex.org/W4362590823","https://openalex.org/W4376113679","https://openalex.org/W4382343047","https://openalex.org/W4389454187"],"related_works":["https://openalex.org/W2381850946","https://openalex.org/W4380449851","https://openalex.org/W4296209631","https://openalex.org/W2258058860","https://openalex.org/W2065830994","https://openalex.org/W2092555887","https://openalex.org/W2741523612","https://openalex.org/W1964921276","https://openalex.org/W2102682197","https://openalex.org/W2101135880"],"abstract_inverted_index":{"High-dimensional":[0],"entanglement":[1,158],"has":[2],"been":[3],"identified":[4],"as":[5,15,54,88,127],"an":[6],"important":[7],"resource":[8],"in":[9,55,84,159],"quantum":[10,21],"information":[11,126],"processing,":[12],"and":[13,28,63,100,176],"also":[14,140],"a":[16,65,76,134,173],"main":[17],"obstacle":[18],"for":[19,33,70,153,180],"simulating":[20],"systems.":[22,162],"Its":[23],"certification":[24],"is":[25,80,97],"often":[26],"difficult,":[27],"most":[29],"widely":[30],"used":[31],"methods":[32],"experiments":[34],"are":[35],"based":[36,144],"on":[37,145],"fidelity":[38],"measurements":[39,96],"with":[40],"respect":[41],"to":[42,172],"highly":[43],"entangled":[44],"states.":[45,138],"Here,":[46],"instead,":[47],"we":[48,118],"consider":[49,141],"covariances":[50],"of":[51,67,75,94,103,115,137,156,169],"collective":[52,104],"observables,":[53],"the":[56,68,72,92,112,128,167],"well-known":[57],"Covariance":[58],"Matrix":[59],"Criterion":[60],"(CMC)":[61],"\\cite{guhnecova}":[62],"present":[64],"generalization":[66],"CMC":[69],"determining":[71],"Schmidt":[73],"number":[74],"bipartite":[77],"system.":[78],"This":[79],"potentially":[81],"particularly":[82],"advantageous":[83],"many-body":[85],"systems,":[86],"such":[87],"cold":[89,160],"atoms,":[90],"where":[91],"set":[93,136],"practical":[95,113],"very":[98,151],"limited":[99],"only":[101],"variances":[102],"operators":[105],"can":[106,132],"typically":[107],"be":[108,150],"estimated.":[109],"To":[110],"show":[111],"relevance":[114],"our":[116,170],"results,":[117],"derive":[119],"simpler":[120],"Schmidt-number":[121],"criteria":[122,143],"that":[123],"require":[124],"similar":[125],"fidelity-based":[129],"witnesses,":[130],"yet":[131],"detect":[133],"wider":[135],"We":[139,163],"paradigmatic":[142],"spin":[146],"covariances,":[147],"which":[148],"would":[149],"helpful":[152],"experimental":[154],"detection":[155],"high-dimensional":[157],"atom":[161],"conclude":[164],"by":[165],"discussing":[166],"applicability":[168],"results":[171],"multiparticle":[174],"ensemble":[175],"some":[177],"open":[178],"questions":[179],"future":[181],"work.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":4}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}
