论文标题
（1+1）中纯化的纠缠和复杂性
Entanglement and Complexity of Purification in (1+1)-dimensional free Conformal Field Theories
论文作者
论文摘要
在扩大的希尔伯特空间中找到纯净的状态，将量子场理论的混合状态作为部分痕迹，这必然是一项艰巨的任务。然而，这种纯化在表征混合状态的量子信息理论特性中通过纠缠和净化的复杂性起着关键作用。在本文中，我们将这些数量分为两个间隔，以首次使用〜最通用的高斯净化，在自由骨和伊辛形状的田间理论的真空中进行了分析。我们提供了与现有结果的全面比较并确定通用属性。我们进一步讨论了我们的设置中的重要微妙之处：自由骨值理论的无质量限制以及相互信息的相应行为，以及在伊斯林结构场理论的自旋链模型中的约旦 - 宽序映射下的希尔伯特空间结构。
Finding pure states in an enlarged Hilbert space that encode the mixed state of a quantum field theory as a partial trace is necessarily a challenging task. Nevertheless, such purifications play the key role in characterizing quantum information-theoretic properties of mixed states via entanglement and complexity of purifications. In this article, we analyze these quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories using, for the first time, the~most general Gaussian purifications. We provide a comprehensive comparison with existing results and identify universal properties. We further discuss important subtleties in our setup: the massless limit of the free bosonic theory and the corresponding behaviour of the mutual information, as well as the Hilbert space structure under the Jordan-Wigner mapping in the spin chain model of the Ising conformal field theory.
