论文标题
关于伪熵放大的注释
Notes on Pseudo Entropy Amplification
论文作者
论文摘要
我们研究伪熵，用于量子系统中纠缠状态的特定线性组合，二维游离共形场理论（CFT）和二维全息CFT。我们观察到现象是，与希尔伯特空间维度的对数相比，伪熵可能在参数上很大。我们称这些现象伪熵放大。伪熵放大类似于弱值的扩增。特别是，我们的结果表明，只要非扰动效应可忽略不计，全息cft就不会引起扩增。当可能发生这种（非）扩增时，我们还会提出一个启发式论点。
We study pseudo entropy for a particular linear combination of entangled states in qubit systems, two-dimensional free conformal field theories (CFT), and two-dimensional holographic CFT. We observe phenomena that the pseudo entropy can be parametrically large compared with the logarithm of the dimension of Hilbert space. We call these phenomena pseudo entropy amplification. The pseudo entropy amplification is analogous to the amplification of the weak value. In particular, our result suggests the holographic CFT does not lead the amplification as long as the non-perturbative effects are negligible. We also give a heuristic argument when such (non-)amplification can occur.
