Entangling Moving Cavities in Noninertial Frames

An open question in the field of relativistic quantum information is how parties in arbitrary motion may distribute and store quantum entanglement. We propose a scheme for storing quantum information in the field modes of cavities moving in flat space-time and analyze it in a quantum field theoretical framework. In contrast with previous work that found entanglement degradation between observers moving with uniform acceleration, we find the quantum information in such systems is protected. We further discuss a method for establishing the entanglement in the first place and show that in principle it is always possible to produce maximally entangled states between the cavities.

Figure 1

Alice and Rob’s mirrors align as Rob’s cavity comes to rest at $t=0$. The vertical lines labeled $x_1$ and $x_2$ are Alice’s mirrors, the curved lines labeled ${\xi }_1$ and ${\xi }_2$ are Rob’s accelerating mirrors. The dotted line is the atom trajectory with short horizontal lines labelling $\pm t_a$ where the atom moves in and out of alignment with Rob’s cavity. The dashed line represents the causal horizon in Rindler coordinates.

Figure 2

Entangling two cavities.

Figure 3

Entanglement as a function of Rob’s acceleration.

Figure 4

Entanglement as a function of $L$ for $a=8\times {10}^{33}{\mathrm{ms}}^{-2}$.