Monogamy of Einstein-Podolsky-Rosen steering in the background of an asymptotically flat black hole

TL;DR

This paper investigates how Hawking radiation affects the monogamy and distribution of Einstein-Podolsky-Rosen steering in tripartite Gaussian states near an asymptotically flat black hole, revealing unique monogamy behaviors.

Contribution

It introduces the analysis of monogamy deficit and asymmetry of quantum steering in curved spacetime, highlighting extreme monogamy scenarios and the role of Hawking thermal effects.

Findings

Monogamy of quantum steering exhibits extreme behavior in curved spacetime.

Hawking thermal bath influences the monogamy deficit of Gaussian steering.

Tripartite quantum systems show unique steering structures near black holes.

Abstract

We study the behavior of monogamy deficit and monogamy asymmetry for Einstein-Podolsky-Rosen steering of Gaussian states under the influence of the Hawking effect. We demonstrate that the monogamy of quantum steering shows an extreme scenario in the curved spacetime: the first part of a tripartite system cannot individually steer two other parties, but it can steer the collectivity of the remaining two parties. We also find that the monogamy deficit of Gaussian steering, a quantifier of genuine tripartite steering, are generated due to the influence of the Hawking thermal bath. Our results elucidate the structure of quantum steering in tripartite quantum systems in curved spacetime.