Localized detection of quantum entanglement through the event horizon

Abstract

We present a completely localized solution to the problem of entanglement degradation in non-inertial frames. A two mode squeezed state is considered from the viewpoint of two observers, Alice (inertial) and Rob (accelerated), and a model of localized projective detection is used to study the amount of entanglement that they are able to extract from the initial state. The Unruh vacuum noise plays only a minor role in the degradation process. The dominant source of degradation is a mode mismatch between the mode of the squeezed state Rob observes and the mode he is able to detect from his accelerated frame. Leakage of the initial mode through Rob's horizon places a limit on his ability to fully measure the state, leading to an inevitable degradation of entanglement that even in principle cannot be corrected by changing the hardware design of his detector.

5 pages, 3 figures

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• Two-mode Gaussian quantum states measured by collinearly and noncollinearly accelerating observers
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• Discriminating quantum field theories in non-inertial frames
• Effect of relativistic motion on witnessing non-classicality of quantum states
• Vacuum friction of uniformly accelerated detector
• Spatial entanglement of nonvacuum Gaussian states
• Detection of quantum entanglement across the event horizon