Scrambling and decoding the charged quantum information
Abstract
Some deep conjectures about quantum gravity are closely related to the role of symmetries in the gravitational background, especially for quantum black holes. In this paper, we systematically study the theory of quantum information for a charged, chaotic system. We show how the quantum information in the whole system has been represented by its charge sectors, using the theory of quantum chaos and quantum error correction, with concrete examples in the context of the complex SYK model. We discuss possible implications for black hole thought experiments and conjectures about quantum gravity in the dynamical setup. We believe this work will have potential applications from theories of quantum gravity to quantum simulation in quantum devices.
Cite
@article{arxiv.2003.11425,
title = {Scrambling and decoding the charged quantum information},
author = {Junyu Liu},
journal= {arXiv preprint arXiv:2003.11425},
year = {2020}
}
Comments
62 pages, many figures, theorems and remarks. v2: mainly correct errors and typos. v3: give improvements about presentations and references; remove and add some discussions