论文标题
高维测量和高维转向的模拟性之间的等效性
Equivalence between simulability of high-dimensional measurements and high-dimensional steering
论文作者
论文摘要
量子转向的效果来自纠缠状态的明智组合以及一组不兼容的测量。最近，结果表明，这种形式的量子相关性可以通过维度来量化，从而导致真正的高维转向的概念。尽管这自然连接到纠缠的维度（施密特号），但我们表明，这种效果也直接连接到测量不兼容的维度概念。更普遍地，当根据维度量化时，我们提出了转向和测量不相容的概念之间的一般联系。从这个联系中，我们提出了一个新颖的扭曲，即模拟量子相关性的问题。具体而言，我们展示了如何仅使用共享的随机性和较低维度的纠缠来精确地恢复某些高维状态的相关性。最后，我们得出了测试测量不兼容的维度的标准，并讨论了这些思想向量子通道的扩展。
The effect of quantum steering arises from the judicious combination of an entangled state with a set of incompatible measurements. Recently, it was shown that this form of quantum correlations can be quantified in terms of a dimension, leading to the notion of genuine high-dimensional steering. While this naturally connects to the dimensionality of entanglement (Schmidt number), we show that this effect also directly connects to a notion of dimension for measurement incompatibility. More generally, we present a general connection between the concepts of steering and measurement incompatibility, when quantified in terms of dimension. From this connection, we propose a novel twist on the problem of simulating quantum correlations. Specifically, we show how the correlations of certain high-dimensional entangled states can be exactly recovered using only shared randomness and lower-dimensional entanglement. Finally, we derive criteria for testing the dimension of measurement incompatibility, and discuss the extension of these ideas to quantum channels.
