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{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,8]],"date-time":"2024-04-08T09:52:33Z","timestamp":1712569953967},"reference-count":40,"publisher":"Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften","license":[{"start":{"date-parts":[[2022,1,5]],"date-time":"2022-01-05T00:00:00Z","timestamp":1641340800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001711","name":"Swiss National Science Foundation","doi-asserted-by":"crossref","award":["P2GEP2 188276"],"id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001711","name":"Swiss National Science Foundation","doi-asserted-by":"crossref","award":["P2GEP2 194800"],"id":[{"id":"10.13039\/501100001711","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["quantum-journal.org"],"crossmark-restriction":false},"short-container-title":["Quantum"],"abstract":"We introduce new methods and tools to study and characterise classical and quantum correlations emerging from prepare-and-measure experiments with informationally restricted communication. We consider the most general kind of informationally restricted correlations, namely the ones formed when the sender is allowed to prepare statistical mixtures of mixed states, showing that contrary to what happens in Bell nonlocality, mixed states can outperform pure ones. We then leverage these tools to derive device-independent witnesses of the information content of quantum communication, witnesses for different quantum information resources, and demonstrate that these methods can be used to develop a new avenue for semi-device independent random number generators.<\/jats:p>","DOI":"10.22331\/q-2022-01-05-620","type":"journal-article","created":{"date-parts":[[2022,1,5]],"date-time":"2022-01-05T17:30:35Z","timestamp":1641403835000},"page":"620","update-policy":"http:\/\/dx.doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":10,"title":["Informationally restricted correlations: a general framework for classical and quantum systems"],"prefix":"10.22331","volume":"6","author":[{"given":"Armin","family":"Tavakoli","sequence":"first","affiliation":[{"name":"D\u00e9partement de Physique Appliqu\u00e9e, Universit\u00e9 de Gen\u00e8ve, CH-1211 Gen\u00e8ve, Switzerland"},{"name":"Institute for Quantum Optics and Quantum Information \u2013 IQOQI Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria"}]},{"given":"Emmanuel","family":"Zambrini Cruzeiro","sequence":"additional","affiliation":[{"name":"Laboratoire d'Information Quantique, CP 225, Universit\u00e9 libre de Bruxelles (ULB), Av. F. D. Roosevelt 50, 1050 Bruxelles, Belgium"}]},{"given":"Erik","family":"Woodhead","sequence":"additional","affiliation":[{"name":"Laboratoire d'Information Quantique, CP 225, Universit\u00e9 libre de Bruxelles (ULB), Av. F. D. Roosevelt 50, 1050 Bruxelles, Belgium"}]},{"given":"Stefano","family":"Pironio","sequence":"additional","affiliation":[{"name":"Laboratoire d'Information Quantique, CP 225, Universit\u00e9 libre de Bruxelles (ULB), Av. F. D. Roosevelt 50, 1050 Bruxelles, Belgium"}]}],"member":"9598","published-online":{"date-parts":[[2022,1,5]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"A. Ambainis, A. Nayak, A. Ta-Shma, and U. Vazirani, in Proceedings of the Thirty-First Annual ACM Symposium on Theory of Computing, STOC '99 (Association for Computing Machinery, New York, NY, USA, 1999) pp. 376\u2013383.","DOI":"10.1145\/301250.301347"},{"key":"1","doi-asserted-by":"publisher","unstructured":"E. F. Galv\u00e3o, Phys. Rev. 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