Non-local Probes of Entanglement in the Scale Invariant Gravity

TL;DR

This paper explores how scale-invariant gravity theories affect quantum entanglement measures using holographic methods, revealing properties like positivity of mutual information and negativity of tripartite information, consistent with quantum information principles.

Contribution

It introduces holographic calculations of entanglement measures in scale-invariant gravity, demonstrating fundamental entanglement properties within this theoretical framework.

Findings

Mutual information remains positive in the studied model.

Tripartite information is negative, indicating monogamy of entanglement.

Holographic methods effectively probe entanglement in scale-invariant gravity.

Abstract

In this paper, we study the generic action for the scale-invariant theory of gravity and then by making use of the holographic methods, we compute some specific holographic measures of entanglement. Precisely, we calculate the entanglement entropy, mutual and tripartite information and show that the mutual information is always positive while the tripartite information becomes negative. This indeed recovers the monogamy property of mutual information in this context.