Fundamental limitations to information transfer in accelerated frames

We study communication between an inertial observer and one of two causally disconnected counteraccelerating observers. We will restrict the quantum channel considering inertial-to-accelerated bipartite classical and quantum communication over different sets of Unruh modes (single-rail or dual-rail encoding). We find that the coherent information (and therefore the amount of entanglement that can be generated via state merging protocol) in this strongly restricted channel presents some interesting monogamy properties between the inertial and only one of the accelerated observers if we take a fixed choice of the Unruh mode used in the channel. The optimization of the controllable parameters is also studied and we find that they deviate from the values usually employed in the literature.

Figure 1

Holevo information of the single-rail case of classical communication.

Figure 2

Holevo information of the dual-rail case of classical communication.

Figure 3

Coherent information of the single-rail case of quantum entanglement generation.

Figure 4

Coherent information of the dual-rail case of quantum entanglement generation.

Figure 5

Optimal Holevo information as a function of the acceleration in the single-rail case.

Figure 6

${\left|\alpha \right|}^2$ and $q_{\mathrm{R}}$ optimal parameters for the results plotted in Fig. 5.