论文标题
量子兼容性的张量规范方法
A tensor norm approach to quantum compatibility
论文作者
论文摘要
测量不兼容是量子物理学与经典物理学不同的最引人注目的例子之一。如果两个测量方法无法通过第三个测量来进行经典后处理，则它们是不兼容的。量化不兼容的一种自然方法是噪声鲁棒性。在本文中，我们回顾了有关不相容测量值的最大噪声稳健性的最新结果，这些结果是由本作者使用自由谱图获得的，并使用张量规范进行了重新验证。通过这种方式，我们使他们可以从量子信息理论和数学物理学中获得更广泛的受众访问，并有助于Banach空间理论与量子信息理论之间的富有成效的相互作用。我们还使用张量规范和矩阵凸的二元性描述了不相容性证人，强调了证人的不同观念之间的关系。
Measurement incompatibility is one of the most striking examples of how quantum physics is different from classical physics. Two measurements are incompatible if they cannot arise via classical post-processing from a third one. A natural way to quantify incompatibility is in terms of noise robustness. In the present article, we review recent results on the maximal noise robustness of incompatible measurements, which have been obtained by the present authors using free spectrahedra, and rederive them using tensor norms. In this way, we make them accessible to a broader audience from quantum information theory and mathematical physics and contribute to the fruitful interactions between Banach space theory and quantum information theory. We also describe incompatibility witnesses using tensor norm and matrix convex set duality, emphasizing the relation between the different notions of witnesses.
