# Quantum steering for continuous variable in de Sitter space

## TL;DR

This paper investigates quantum steerability between two regions in de Sitter space, revealing its sudden death phenomenon, asymmetry transitions, and differences from entanglement and discord under curved spacetime conditions.

## Contribution

It provides the first analysis of quantum steerability behavior in de Sitter space, highlighting unique phenomena like sudden death and asymmetry transitions not seen in flat space.

## Key findings

- Quantum steerability exhibits sudden death in de Sitter space.
- Maximal steerability asymmetry indicates a transition between unidirectional and bidirectional steerability.
- Asymmetry can be completely destroyed at infinite curvature for certain scalar fields.

## Abstract

We study the distribution of quantum steerability for continuous variables between two causally disconnected open charts in de Sitter space. It is shown that quantum steerability suffers from "sudden death" in de Sitter space, which is quite different from the behaviors of entanglement and discord because the latter always survives and the former vanishes only in the limit of infinite curvature. In addition, we find that the attainment of maximal steerability asymmetry indicates a transition between unidirectional steerable and bidirectional steerable. Unlike in the flat space, the asymmetry of quantum steerability can be completely destroyed in the limit of infinite curvature for the conformal and massless scalar fields in de Sitter space.