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Journal Article
Notes on pseudo entropy amplification
2022
Overview
Abstract
We study pseudo entropy for a particular linear combination of entangled states in qubit systems, two-dimensional free conformal field theories (CFTs), and two-dimensional holographic CFT. We observe phenomena whereby the pseudo entropy can be parametrically large compared with the logarithm of the dimension of the Hilbert space. We call these phenomena pseudo entropy amplification; it is analogous to the amplification of the weak value. In particular, our result suggests the holographic CFT does not lead to amplification as long as the non-perturbative effects are negligible. We also give a heuristic argument for when such (non-)amplification can occur.
Publisher
Oxford University Press
Subject
