Replicated Entanglement Entropy

TL;DR

The paper introduces Replicated Entanglement Entropy (REE), a new measure of entanglement derived from replicated theories, with a clear physical interpretation and holographic dual, advancing understanding of quantum entanglement.

Contribution

It proposes and defines REE, a novel entanglement measure obtained through a two-step replication process with a specific limit, providing new insights into entanglement structure.

Findings

REE has a thermodynamic interpretation

REE has a holographic dual

REE offers a new perspective on entanglement entropy

Abstract

We introduce "Replicated Entanglement Entropy (REE)" as the entanglement entropy of a subspace in a replicated theory. We calculate this quantity by replicating the original theory in two steps along the same entangling region and taking the proper limit on the second replica number. The quantity has a clear physical meaning, a thermodynamic interpretation and a holographic dual.