Within the framework of quantum refereed steering games, quantum steerability can be certified without any assumption on the underlying state nor the measurements involved. Such a scheme is termed the measurement-device-independent (MDI) scenario. Here, we introduce a measure of steerability in an MDI scenario, i.e., the result merely depends on the observed statistics and the quantum inputs. We prove that such a measure satisfies the convex steering monotone. Moreover, it is robust against not only measurement biases but also losses. We also experimentally estimate the amount of the measure with an entangled photon source. As two by-products, our experimental results provide lower bounds on an entanglement measure of the underlying state and an incompatible measure of the involved measurement. Our research paves a way for exploring one-side device-independent quantum information processing within an MDI framework.

在以量子为准的转向游戏的框架内，无需对基础状态或所涉及的测量进行任何假设就可以证明量子可转向性。这种方案称为独立于测量设备（MDI）的方案。在这里，我们介绍了MDI场景中的可操纵性度量，即结果仅取决于观察到的统计数据和量子输入。我们证明了这种措施满足凸转向单调。而且，它不仅可以抵抗测量偏差，还可以抵抗损耗。我们还通过实验估算了纠缠光子源的测量量。作为两个副产品，我们的实验结果为基础状态的纠缠度量和所涉及度量的不兼容度量提供了下界。