Minimal informationally complete positive operator-valued measures (MIC-POVMs) are special kinds of measurement in quantum theory in which the statistics of their $ {d^2} $-outcomes are enough to reconstruct any $ d $-dimensional quantum state. For this reason, MIC-POVMs are referred to as standard measurements for quantum information. Here, we report an experiment with entangled photon pairs that certifies, for what we believe is the first time, a MIC-POVM for qubits following a device-independent protocol (i.e., modeling the state preparation and the measurement devices as black boxes, and using only the statistics of the inputs and outputs). Our certification is achieved under the assumption of freedom of choice, no communication, and fair sampling.

中文翻译：

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与设备无关的协议中信息完整的量子测量的实验证明

最小信息完全正算子值度量（MIC-POVM）是量子理论中的特殊度量，其中$ {d ^ 2} $-结果的统计量足以重建任何$ d-维量子状态。因此，MIC-POVM被称为量子信息的标准测量。在这里，我们报告了一个纠缠光子对的实验，该实验首次证明了遵循设备独立协议的qubit MIC-POVM（即，将状态准备和测量设备建模为黑盒，并且仅使用输入和输出的统计信息）。我们的认证是在选择自由，没有沟通和公正抽样的前提下获得的。