DOE OSTI · 3023217
Experimental entropic uncertainty relations in dimensions three to five
Abstract
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 𝑑 = 3, 4, and 5 and consider from 2 to 𝑑 + 1 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.
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Serino, Laura [Paderborn University (Germany)] (ORCID:000000025954047X), Chesi, Giovanni [Università di Pavia (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)] (ORCID:000000018411255X), Brecht, Benjamin [Paderborn University (Germany)] (ORCID:0000000341400556), Maccone, Lorenzo [Università di Pavia (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)] (ORCID:0000000267295312), Macchiavello, Chiara [Università di Pavia (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)], Silberhorn, Christine [Paderborn University (Germany)] (ORCID:0000000223495443). 2026-03-12. Experimental entropic uncertainty relations in dimensions three to five. https://doi.org/10.1103/f6c4-jtlc
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