论文标题
量子不确定性与经典阴影的实验研究
Experimental investigation of quantum uncertainty relations with classical shadows
论文作者
论文摘要
不确定性关系中的量子分量可以自然地以量子状态的量子相干性为特征，量子状态在量子信息科学中至关重要。在这里，我们通过实验研究了量子不确定性关系，这些关系与相干性相对熵，$ l_1 $相干性和形成相干性的规范。代替量子状态层析成像技术，我们采用了经典的影子算法来检测量子不确定性关系中的下限。通过所有光学设置，我们准备一个可以完全控制纯度的量子状态家族。我们通过实验探索准备好状态的不同参考基库中各种下限的紧密度。我们的结果表明，量子相干性的紧密性下限依赖于参考库以及量子状态的纯度。
The quantum component in uncertainty relation can be naturally characterized by the quantum coherence of a quantum state, which is of paramount importance in quantum information science. Here, we experimentally investigate quantum uncertainty relations construed with relative entropy of coherence, $l_1$ norm of coherence and coherence of formation. In stead of quantum state tomographic technology, we employ the classical shadow algorithm for the detection of lower bounds in quantum uncertainty relations. With an all optical setup, we prepare a family of quantum states whose purity can be fully controlled. We experimentally explore the tightness of various lower bounds in different reference bases on the prepared states. Our results indicate the tightness of quantum coherence lower bounds dependents on the reference bases as well as the purity of quantum state.
