Related papers: Notes on Pseudo Entropy Amplification

Notes on Pseudo Entropy Amplification

URL: http://arxiv.org/abs/2206.14551v1
Date: Wed, 29 Jun 2022 12:03:05 GMT
Title: Notes on Pseudo Entropy Amplification
Authors: Yutaka Ishiyama, Riku Kojima, Sho Matsui, Kotaro Tamaoka
Abstract summary: We study pseudo entropy for a particular 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 space. We call these phenomena pseudo entropy amplification.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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.

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