A geometrical representation of the quantum information metric in the gauge/gravity correspondence
A geometrical representation of the quantum information metric in the gauge/gravity correspondence
复制标题
规范/重力对应关系中量子信息度量的几何表示
DOI：
10.1016/j.physletb.2021.136830
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发表时间：
2022
影响因子：
4.4
通讯作者：
Yamashiro Kazushi
中科院分区：
文献类型：
--
作者：
Tsuchiya Asato;Yamashiro Kazushi
我们研究了量子信息度规在规范/引力对应中的几何表示。我们考虑量子信息度规，它测量场论方面两个理论的基态之间的距离，其中一个是通过扰动另一个而获得的。我们表明，信息度规是由一个反反应的余维2表面上的重力侧的体积，如果未扰动场论具有庞加莱对称性。
We study a geometrical representation of the quantum information metric in the gauge/gravity correspondence. We consider the quantum information metric that measures the distance between the ground states of two theories on the field theory side, one of which is obtained by perturbing the other. We show that the information metric is represented by a back reaction to the volume of a codimension-2 surface on the gravity side if the unperturbed field theory possesses the Poincare symmetry.