论文标题
多复制非局部蒸馏的优点及其在最小化通信复杂性最小化的应用
Advantages of multi-copy nonlocality distillation and its application to minimizing communication complexity
论文作者
论文摘要
非局部相关性是量子理论的核心特征，并且理解量子理论为什么具有有限的非局部性是一个基本问题。由于非局部性也具有技术应用，例如，对于独立于设备的密码学，因此将其理解为资源，尤其是如何以及如何互相相互转化是有用的。在这里，我们专注于非局部性蒸馏，涉及使用多个非局部资源的副本来生成具有更多非定位性的副本。我们介绍了几种蒸馏方案，这些方案将一组非局部相关性的延伸部分散布在内，包括量子相关性。我们的方案基于一组自然的操作程序，称为接线，无论基本理论如何，它们都可以应用。有些是连续使用两拷贝协议的顺序算法，而另一些则是真正的三拷贝蒸馏协议。在某些地区，我们证明了真正的三拷贝协议严格比两拷贝协议好。通过应用我们的新协议，我们还增加了已知非局部相关性的区域，从而引起了微不足道的沟通复杂性。这使我们更加了解可以从信息理论原理中恢复的非本地相关性集合，从而增强了我们对量子理论的特殊内容的理解。
Nonlocal correlations are a central feature of quantum theory, and understanding why quantum theory has a limited amount of nonlocality is a fundamental problem. Since nonlocality also has technological applications, e.g., for device-independent cryptography, it is useful to understand it as a resource and, in particular, whether and how different types of nonlocality can be interconverted. Here we focus on nonlocality distillation which involves using several copies of a nonlocal resource to generate one with more nonlocality. We introduce several distillation schemes which distil an extended part of the set of nonlocal correlations including quantum correlations. Our schemes are based on a natural set of operational procedures known as wirings that can be applied regardless of the underlying theory. Some are sequential algorithms that repeatedly use a two-copy protocol, while others are genuine three-copy distillation protocols. In some regions we prove that genuine three-copy protocols are strictly better than two-copy protocols. By applying our new protocols we also increase the region in which nonlocal correlations are known to give rise to trivial communication complexity. This brings us closer to an understanding of the sets of nonlocal correlations that can be recovered from information-theoretic principles, which, in turn, enhances our understanding of what is special about quantum theory.
