Complementarity is one of the main features of quantum physics that radically departs from classical notions. Here we consider the limitations that this principle imposes due to the unpredictability of measurement outcomes of incompatible observables. For two-level systems, it is shown that any preparation violating complementarity enables the preparation of a non-signalling box violating Tsirelson’s bound. Moreover, these “beyond-quantum” objects could be used to distinguish a plethora of non-orthogonal quantum states and hence enable improved cloning protocols. For higher-dimensional systems the main ideas are sketched.

中文翻译：

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互补性带来的限制

互补性是量子物理学的主要特征之一，它与经典概念完全不同。在这里，我们考虑到由于不相容的可观测物的测量结果的不可预测性，该原理所施加的限制。对于两级系统，显示出任何违反互补性的准备都可以使违反Tsirelson界的无信号框的准备成为可能。此外，这些“超越量子”的对象可以用来区分过多的非正交量子态，因此可以改进克隆协议。对于高维系统，主要思想已勾勒出来。