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

摘要

We study the behavior of monogamy deficit and monogamy asymmetry forEinstein-Podolsky-Rosen steering of Gaussian states under the influence of theHawking effect. We demonstrate that the monogamy of quantum steering shows anextreme scenario in the curved spacetime: the first part of a tripartite systemcannot individually steer two other parties, but it can steer the collectivityof the remaining two parties. We also find that the monogamy deficit ofGaussian steering, a quantifier of genuine tripartite steering, are generateddue to the influence of the Hawking thermal bath. Our results elucidate thestructure of quantum steering in tripartite quantum systems in curvedspacetime.