2024/12/14 by Zi-Xuan Zhao, Zhao, Zi-Xuan, Song He +6
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Image and Signal Denoising Methods #Numerical methods in inverse problems
paper · pdf · doi:10.48550/arxiv.2412.10735
openalex publication_date 2024/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the relative Rényi entropy (RRE) under local quenches in two-dimensional conformal field theories (CFTs), focusing on rational CFTs (RCFTs) and holographic CFTs. In RCFTs, the RRE evolves as a monotonic function over time, depending on finite-dimensional matrices. It is sometimes symmetric, prompting an exploration of its relation to the trace squared distance. We also observe that relative entropy can fail to distinguish between operators, as it only captures information entering/exiting the subsystem. In holographic CFTs, an analytic continuation of the RRE reveals insights into the entanglement wedge, offering a new perspective on bulk geometry in AdS/CFT. Our results deepen the understanding of quantum information measures in RCFTs and holographic CFTs, highlighting connections to distinguishability and bulk reconstruction.