Multimode theory of Gaussian states in uniformly accelerated frames

Abstract

We use the formalism of noisy Gaussian channels to derive explicit transformation laws describing how an arbitrary multimode Gaussian state of a scalar quantum field is perceived by a number of accelerating observers, each having access to at least one of the modes. Our work, which generalizes earlier results of Ahmadi, et al., Phys. Rev. D 93, 124031 (2016), is the next step torwards a better understanding of the effect of gravity on the states of quantum fields. arXiv:1804.08307v2 [quant-ph] 26 Apr 2018Upon the substitution, we have:

Effects of gravity on continuous-variable quantum key distribution

“…In the case of CA from Eve, this happens only for RR. The method described here, used to incorporate the effects of gravity on quantum information protocols, is being generalized to the 3 + 1 spacetime and to multimode acceleration in [28,29]. QKD with CV would be the natural setting to apply these new developments.…”

Effect of relativistic acceleration on tripartite entanglement in Gaussian states

“…The exact form of the M and N matrices for a general multimode Gaussian state was derived in [46]. Here we are focused only on three-mode states so these matrices are both 6 × 6 dimensional.…”

“…However, initial investigations addressed only global modes, missing the necessity of localization in space and time that is called for when any realistic protocol is to be performed. Different approaches have been employed to tackle this problem-moving cavities [25,[30][31][32][33], point-like detectors [34][35][36][37][38] and localized wave packets [39][40][41][42][43][44][45][46][47].…”

“…We focus on the last framework, established in [44] and later generalized in [46,47] that provides a way to compute the effect of acceleration on multi-mode Gaussian states of localized wave packets in various geometries. The entanglement-focused studies of moving quantum observers involved mostly investigations of two-party geometries, such as in the case of e.g.…”

“…entanglement harvesting or effect of acceleration on efficiencies of two-party quantum protocols. The interest in tripartite entanglement has been scarce, including extraction of genuine tripartite entanglement from the vacuum [48] and purity loss for general multi-mode Gaussian states undergoing acceleration [46].…”