Lashkari Nima
Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Phys Rev Lett. 2016 Jul 22;117(4):041601. doi: 10.1103/PhysRevLett.117.041601. Epub 2016 Jul 21.
We present a novel replica trick that computes the relative entropy of two arbitrary states in conformal field theory. Our replica trick is based on the analytic continuation of partition functions that break the Z_{n} replica symmetry. It provides a method for computing arbitrary matrix elements of the modular Hamiltonian corresponding to excited states in terms of correlation functions. We show that the quantum Fisher information in vacuum can be expressed in terms of two-point functions on the replica geometry. We perform sample calculations in two-dimensional conformal field theories.
我们提出了一种新颖的复制技巧，用于计算共形场论中两个任意态的相对熵。我们的复制技巧基于打破(Z_{n})复制对称性的配分函数的解析延拓。它提供了一种根据关联函数计算与激发态相对应的模块化哈密顿量的任意矩阵元的方法。我们表明，真空中的量子费舍尔信息可以用复制几何上的两点函数来表示。我们在二维共形场论中进行了示例计算。
