A tripartite entanglement in de Sitter spacetime

TL;DR

This paper studies tripartite quantum entanglement in de Sitter space, modeling expansion effects with noisy channels, revealing how large expansion rates diminish bipartite correlations and complicate information recovery.

Contribution

It introduces a novel approach using noisy quantum channels to analyze tripartite entanglement in de Sitter spacetime, linking expansion effects to quantum correlations.

Findings

Large expansion rate leads to negative tripartite mutual information.

Bipartite mutual information decreases with expansion.

Information recovery from local measurements becomes more challenging.

Abstract

We investigate the quantum correlation for tripartite entangled states in de Sitter space. First, we adopt the noisy quantum channel model. In this model, the expansion effect is represented by an operator sum representation with its corresponding Kraus operator. This map is shown to be trace-preserving and completely positive. Second, we analyze the quantum correlation by using the channel-state correspondence. For a large expansion rate, the tripartite mutual information has a large negative value, which corresponds to a small magnitude of bipartite mutual information. We relate this result with the challenge of recovering information from local measurements.