Timelike entanglement entropy Revisited
High Energy Physics - Theory
2026-05-20 v4 Quantum Physics
Abstract
We present an operator-algebraic definition for timelike entanglement entropy in QFT under a few mild postulates. This rigorously defined timelike entanglement entropy is real-valued due to the timelike tube theorem. We further demonstrate why the timelike entanglement entropy should be real-valued from both path integral argument and holography perspective.
Cite
@article{arxiv.2503.19342,
title = {Timelike entanglement entropy Revisited},
author = {Xin Jiang and Haitang Yang},
journal= {arXiv preprint arXiv:2503.19342},
year = {2026}
}
Comments
V4: Match the published version. Substantially improved, especially in Sec III, the arguments about the real-valueness from path integral and holography perspective. 7 pages, 4 figures