论文标题
可压缩认证量子测量
Compressively certifying quantum measurements
论文作者
论文摘要
我们引入了可靠的压缩程序，以使用最小的一组探针状态来唯一地表征任何给定的低级量子测量，该探针状态仅基于从未知测量本身收集的数据。当测量构成纯检测结果时，该过程是最压缩的，只需要与系统维度线性缩放的信息完整数量的探针状态。我们争论并提供数值证据，表明所需的探针状态数量最少，甚至低于密切相关的经典相位回答问题中已知的数字，因为量子约束。我们还通过极化实验提出了肯定的结果，这些实验仅通过使用随机产物探针态来说明两量和四量检测器的显着压缩行为。
We introduce a reliable compressive procedure to uniquely characterize any given low-rank quantum measurement using a minimal set of probe states that is based solely on data collected from the unknown measurement itself. The procedure is most compressive when the measurement constitutes pure detection outcomes, requiring only an informationally complete number of probe states that scales linearly with the system dimension. We argue and provide numerical evidence showing that the minimal number of probe states needed is even generally below the numbers known in the closely-related classical phase-retrieval problem because of the quantum constraint. We also present affirmative results with polarization experiments that illustrate significant compressive behaviors for both two- and four-qubit detectors just by using random product probe states.
