Entanglement Dynamics of the Non-Unitary Holographic Channel
Abstract
We study the dynamical properties of a strongly scrambling quantum circuit involving a projective measurement on a finite-sized region by studying the operator entanglement entropy and mutual information (OEE and BOMI) of the dual operator state that corresponds to this quantum circuit. The time-dependence of the OEE exhibits a new dynamical behavior of operator entanglement, namely an additional fractional coefficient that accompanies the linear time growth of the OEE. For a holographic system, this is equivalent to an additional fractional coefficient that modifies the linear growth rate of the wormhole volume. The time-dependence of the BOMI shows that the projective measurement may destroy the non-local correlations in this dual state. We also propose a gravity dual as well as a line-tension picture, which is an effective model, that describe this strongly scrambling quantum circuit.
Keywords
Cite
@article{arxiv.2211.03944,
title = {Entanglement Dynamics of the Non-Unitary Holographic Channel},
author = {Kanato Goto and Masahiro Nozaki and Kotaro Tamaoka and Mao Tian Tan},
journal= {arXiv preprint arXiv:2211.03944},
year = {2023}
}
Comments
30 pages + appendices, 12 figures