论文标题
在准备和衡量方案中进行强大自我测试的通用计划
A universal scheme for robust self-testing in the prepare-and-measure scenario
论文作者
论文摘要
我们考虑了纯状态的任意合奏和投影测量的确认问题，仅从实验统计数据中，在准备和衡量方案中，假设上限在希尔伯特空间的维度上。为此，我们提出了一个普遍和直观的计划，基于建立目标状态与适当选择的投影测量之间的完美相关性。该方法在所有有限维度上都起作用，并允许对任意制备状态之间以及相应的测量运算符之间的重叠进行强有力的认证。最后，我们证明，对于Qubits，我们的技术可用于对纯量子状态和投射测量的鲁棒自我测试的任意配置。这些结果为准备和量化范式的实际应用铺平了道路，以在量子设备的认证中。
We consider the problem of certification of arbitrary ensembles of pure states and projective measurements solely from the experimental statistics in the prepare-and-measure scenario assuming the upper bound on the dimension of the Hilbert space. To this aim, we propose a universal and intuitive scheme based on establishing perfect correlations between target states and suitably-chosen projective measurements. The method works in all finite dimensions and allows for robust certification of the overlaps between arbitrary preparation states and between the corresponding measurement operators. Finally, we prove that for qubits, our technique can be used to robustly self-test arbitrary configurations of pure quantum states and projective measurements. These results pave the way towards the practical application of the prepare-and-measure paradigm to certification of quantum devices.
