Relativistic motion on Gaussian quantum steering for two-mode localized Gaussian states

Abstract

Realistic quantum systems always exhibit gravitational and relativistic features. In this paper, we investigate the properties of Gaussian steering and its asymmetry by the localized two-mode Gaussian quantum states, instead of the traditional single-mode approximation method in the relativistic setting. We find that the one-side Gaussian quantum steering will monotonically decrease with increasing observers of acceleration. Meanwhile, our results also reveal the interesting behavior of the Gaussian steering asymmetry, which increases for a specific range of accelerated parameter and then gradually approaches to a finite value. Such findings is well consistent and explained by the well-known Unruh effect, which could significantly destroy the one-side Gaussian quantum steering. Finally, our results could also be applied to the dynamical studies of Gaussian steering between the Earth and satellites, since the effects of acceleration is equal to the effects of gravity according to the equivalence principle.

Satellite-based continuous-variable quantum key distribution under the Earth's gravitational field

“…For instance, the work has investigated how relativistic acceleration affects the performance of quantum teleportation and dense coding for CV states of localized wave packets [40] . More works about relativistic acceleration or the Earth's gravity affect on quantum resources (entanglement, coherence and Gaussian Interference Power) and quantum information tasks, we refer readers to see refs [41][42][43][44][45][53][54][55][56][57][58][59] . From an experimental point of view, Pirandola et al proposed a fully operational satellite QKD system [15] , which means that their scheme paves the way toward the implementation of a quantum communication worldwide network leveraging existing receivers.…”