标题： 三维到五维的实验熵不确定性关系 显示英文标题

标题： Experimental entropic uncertainty relations in dimensions three to five

摘要： 我们提供了对高维中具有相互正交本征态的可观测量的香农熵的紧致熵不确定性关系的实验验证。 特别是，我们研究了维度$d = 3$、$4$和$5$的情况，并考虑从$2$到$d+1$的相互正交基。 实验基于脉冲频率波段，通过多输出量子脉冲门进行测量，该门可以在时频域对完整的高维基进行投影测量。 我们的结果符合理论预测：熵和的界限从未被违反，并且由最小化不确定性关系的状态达到饱和。 显示英文摘要

摘要： 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 multi-output 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.