Genuine Einstein-Podolsky-Rosen steering in noninertial frames

Abstract We investigate the behavior of (1 → 2) and (2 → 1) genuine tripartite EPR steering in generalized GHZ (GGHZ) states when observers undergo relativistic acceleration, and extend the analysis to network quantum steering in linear networks composed of two Bell states. Within the free Dirac field framework, our results demonstrate that both types of genuine tripartite steering and network steering exhibit monotonic degradation with increasing acceleration. In the single-accelerator scenario, all steering types persist even at infinite acceleration, while physically inaccessible (2 → 1) genuine steering emerges at high accelerations. Strikingly contrasting behavior is observed when two observers accelerate, where sudden death of steering occurs in all cases. Furthermore, we study the dynamical evolution of both genuine tripartite steering and network quantum steering in noninertial frames when one accelerated qubit undergoes decoherence. We reveal a hierarchy of sensitivity for both steering types to different decoherence noises in noninertial frames, and find that genuine tripartite steering and network quantum steering are more sensitive to quantum decoherence effects than to the Unruh effect.