{"title":"Experimental entropic uncertainty relations in dimensions three to five","doi":"10.1103/f6c4-jtlc","date_updated":"2026-03-23T12:29:49Z","publisher":"American Physical Society (APS)","date_created":"2026-03-23T12:29:23Z","author":[{"first_name":"Laura Maria","last_name":"Serino","id":"88242","full_name":"Serino, Laura Maria"},{"full_name":"Chesi, Giovanni","last_name":"Chesi","first_name":"Giovanni"},{"orcid":"0000-0003-4140-0556 ","last_name":"Brecht","id":"27150","full_name":"Brecht, Benjamin","first_name":"Benjamin"},{"full_name":"Maccone, Lorenzo","last_name":"Maccone","first_name":"Lorenzo"},{"last_name":"Macchiavello","full_name":"Macchiavello, Chiara","first_name":"Chiara"},{"last_name":"Silberhorn","id":"26263","full_name":"Silberhorn, Christine","first_name":"Christine"}],"volume":113,"year":"2026","citation":{"ieee":"L. M. Serino, G. Chesi, B. Brecht, L. Maccone, C. Macchiavello, and C. Silberhorn, “Experimental entropic uncertainty relations in dimensions three to five,” <i>Physical Review A</i>, vol. 113, no. 3, Art. no. 032420, 2026, doi: <a href=\"https://doi.org/10.1103/f6c4-jtlc\">10.1103/f6c4-jtlc</a>.","chicago":"Serino, Laura Maria, Giovanni Chesi, Benjamin Brecht, Lorenzo Maccone, Chiara Macchiavello, and Christine Silberhorn. “Experimental Entropic Uncertainty Relations in Dimensions Three to Five.” <i>Physical Review A</i> 113, no. 3 (2026). <a href=\"https://doi.org/10.1103/f6c4-jtlc\">https://doi.org/10.1103/f6c4-jtlc</a>.","apa":"Serino, L. M., Chesi, G., Brecht, B., Maccone, L., Macchiavello, C., &#38; Silberhorn, C. (2026). Experimental entropic uncertainty relations in dimensions three to five. <i>Physical Review A</i>, <i>113</i>(3), Article 032420. <a href=\"https://doi.org/10.1103/f6c4-jtlc\">https://doi.org/10.1103/f6c4-jtlc</a>","ama":"Serino LM, Chesi G, Brecht B, Maccone L, Macchiavello C, Silberhorn C. Experimental entropic uncertainty relations in dimensions three to five. <i>Physical Review A</i>. 2026;113(3). doi:<a href=\"https://doi.org/10.1103/f6c4-jtlc\">10.1103/f6c4-jtlc</a>","mla":"Serino, Laura Maria, et al. “Experimental Entropic Uncertainty Relations in Dimensions Three to Five.” <i>Physical Review A</i>, vol. 113, no. 3, 032420, American Physical Society (APS), 2026, doi:<a href=\"https://doi.org/10.1103/f6c4-jtlc\">10.1103/f6c4-jtlc</a>.","short":"L.M. Serino, G. Chesi, B. Brecht, L. Maccone, C. Macchiavello, C. Silberhorn, Physical Review A 113 (2026).","bibtex":"@article{Serino_Chesi_Brecht_Maccone_Macchiavello_Silberhorn_2026, title={Experimental entropic uncertainty relations in dimensions three to five}, volume={113}, DOI={<a href=\"https://doi.org/10.1103/f6c4-jtlc\">10.1103/f6c4-jtlc</a>}, number={3032420}, journal={Physical Review A}, publisher={American Physical Society (APS)}, author={Serino, Laura Maria and Chesi, Giovanni and Brecht, Benjamin and Maccone, Lorenzo and Macchiavello, Chiara and Silberhorn, Christine}, year={2026} }"},"intvolume":"       113","publication_status":"published","publication_identifier":{"issn":["2469-9926","2469-9934"]},"issue":"3","article_number":"032420","language":[{"iso":"eng"}],"_id":"65095","user_id":"27150","department":[{"_id":"15"},{"_id":"623"}],"abstract":[{"lang":"eng","text":"<jats:p>\r\n                    We provide experimental validation of tight entropic uncertainty relations for the Shannon entropies of observables with mutually unbiased eigenstates in high dimensions. In particular, we address the cases of dimensions\r\n                    <a:math xmlns:a=\"http://www.w3.org/1998/Math/MathML\">\r\n                      <a:mrow>\r\n                        <a:mi>d</a:mi>\r\n                        <a:mo>=</a:mo>\r\n                        <a:mn>3</a:mn>\r\n                      </a:mrow>\r\n                    </a:math>\r\n                    , 4, and 5 and consider from 2 to\r\n                    <b:math xmlns:b=\"http://www.w3.org/1998/Math/MathML\">\r\n                      <b:mrow>\r\n                        <b:mi>d</b:mi>\r\n                        <b:mo>+</b:mo>\r\n                        <b:mn>1</b:mn>\r\n                      </b:mrow>\r\n                    </b:math>\r\n                    mutually unbiased bases. The experiment is based on pulsed frequency bins measured with a multioutput quantum pulse gate, which can perform projective measurements on a complete high-dimensional basis in the time-frequency domain. Our results fit the theoretical predictions: the bound on the sum of the entropies is never violated and is saturated by the states that minimize the uncertainty relations.\r\n                  </jats:p>"}],"status":"public","type":"journal_article","publication":"Physical Review A"}