Tripartite quantum steering in Schwarzschild spacetime

TL;DR

This paper explores how Hawking radiation affects quantum steering in a tripartite system within Schwarzschild spacetime, revealing complex behaviors and phase transitions in quantum correlations influenced by black hole effects.

Contribution

It classifies all tripartite steering types in curved spacetime and analyzes the impact of Hawking radiation on these quantum correlations across different accessible mode scenarios.

Findings

Hawking radiation disrupts quantum steering in three accessible modes.

Dual behavior of Hawking radiation enhances or suppresses steering depending on parameters.

Significant Hawking effect on quantum steering when only one mode is accessible.

Abstract

We investigate the effects of Hawking radiation on quantum steering and steering asymmetry in a tripartite system embedded in Schwarzschild spacetime. All tripartite steering types were classified,comprising three "1 to 2" and three "2 to 1" steering cases. Through a systematic analysis of all physically relevant scenarios (including accessible and inaccessible modes), we classify three canonical scenarios with one, two and three physically accessible modes. In the scenario of three physically accessible modes, Hawking radiation disrupts quantum steering, with the maximum steering asymmetry during the two-way steering to one-way steering transition precisely demarcating the phase boundary between these regimes. For two physically accessible modes, Hawking radiation exhibits dual behavior: enhancing the steering from Alice and Bob to anti-Charlie under certain parameters while suppressing it under others, while net strengthening other steering types. When considering one physically accessible mode, the Hawking effect of the black hole significantly enhances quantum steering. These findings provide new insights into quantum correlations in curved spacetime and establish observable signatures of Hawking effects in quantum steering phenomena.