论文标题
独立量子状态和测量设备的半设备独立认证
Semi-device-independent certification of independent quantum state and measurement devices
论文作者
论文摘要
证明量子设备的表现对量子信息科学至关重要。在此，开发了基于使用独立设备的准备和测量实验的状态制备设备和测量设备的认证方法。实验者假定设备的独立性和希尔伯特空间维度的知识。因此，不需要确切的实验任何部分的表征。该认证基于明确的状态歧视的随机版本，并针对与任何大小和任何维度的量子$ t $ designs相对应的状态集合的类别。这些量子设计是一组状态，其中任何$ t $度的多项式的平均值在所有纯状态下等于其平均水平，并且可以容纳许多最有用的量子信息处理中最有用的离散结构。此外，结果表明，相同的实验还证明了测量设备的检测效率及其非标准性质。提出的方法可以在实验中很容易实现。
Certifying that quantum devices behave as intended is crucial for quantum information science. Here, methods are developed for certification of both state preparation devices and measurement devices based on prepare-and-measure experiments with independent devices. The experimenter assumes the independence of the devices and knowledge of the Hilbert space dimension. Thus no precise characterisation of any part of the experiment is required. The certification is based on a randomised version of unambiguous state discrimination and targets the class of state ensembles corresponding to quantum $t$-designs of any size and any dimension. These quantum designs are sets of states over which the average of any $t$-degree polynomial equals its average over all pure states, and they accommodate many of the most useful discrete structures in quantum information processing. Furthermore, it is shown that the same experiments also certify the detection efficiency of the measurement devices, as well as their non-projective nature. The presented methods can readily be implemented in experiments.
