Fermionic steering and its monogamy relations in Schwarzschild spacetime

TL;DR

This paper investigates how Hawking radiation affects quantum steering of fermionic fields in Schwarzschild spacetime, revealing degradation, generation, and monogamy relations, and comparing fermionic and bosonic steering properties.

Contribution

It introduces a comparative analysis of two steering quantification methods and uncovers monogamy relations and differences between fermionic and bosonic steering in curved spacetime.

Findings

Hawking radiation degrades steering between accessible observers.

Hawking radiation generates steering between accessible and inaccessible observers.

Distinct properties are observed between fermionic and bosonic steering in Schwarzschild spacetime.

Abstract

Using two different types of quantification for quantum steering, we study the influence of Hawking radiation on quantum steering for fermionic fields in Schwarzschild spacetime. The degradation for the steering between physically accessible observers and the generation for the steering between physically accessible and inaccessible observers induced by Hawking radiation are studied. We also reveal the difference between the two types of quantification for steering, and find some monogamy relations between steering and entanglement. Furthermore, we show the different properties between fermionic steering and bosonic steering in Schwarzschild spacetime.