Entangled particle-states localized on curved space-time

TL;DR

This paper explores how the geometry of curved space-time influences the localization and entanglement of scalar particle states, revealing that only entangled states can be localized on curved space-time, linking gravity and quantum entanglement.

Contribution

It demonstrates a direct relationship between space-time curvature and quantum entanglement of localized scalar states, extending the understanding of gravity-entanglement connections.

Findings

Entangled states are localized on curved space-time.

Separable states are localized on flat space-time.

Results align with AdS/CFT insights on gravity and entanglement.

Abstract

In this work, based on a recently introduced localization scheme for scalar fields, we argue that the geometry of the space-time, where the particle states of a scalar field are localized, is intimately related to the quantum entanglement of these states. More specifically, we show that on curved space-time can only be localized entangled states, while separable states are located on flat space-time. Our result goes in parallel with recent theoretical developments in the context of AdS/CFT correspondence which uncovered connections between gravity and quantum entanglement.