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February 15, 20240 citationsOpen Access

Entanglement Degradation in Causal Diamonds

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HCHoracio E. CamblongACA. ChakrabortyPLP. Lopez-Duque

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Abstract

Entanglement degradation appears to be a generic prediction in relativistic quantum information whenever horizons restrict access to a region of spacetime. This property has been previously explored in connection with the Unruh effect, where a bipartite entangled system composed of an inertial observer (Alice) and a uniformly accelerated observer (Rob) was studied, with entanglement degradation caused by the relative acceleration -- and with equivalent results for the case when Alice is freely falling into a black hole and Rob experiences a constant proper acceleration as a stationary near-horizon observer. In this work, we show that a similar degradation also occurs in the case of an entangled system composed of an inertial observer (Alice) and a "diamond observer" (Dave) with a finite lifetime. The condition of a finite lifetime is equivalent to the restriction of Dave's access within a causal diamond. Specifically, if the system starts in a maximally entangled state, prepared from Alice's perspective, entanglement degradation is enforced by the presence of the diamond's causal horizons.

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Cite This Study

Camblong et al. (2024) studied this question.

synapsesocial.com/papers/68e79181b6db643587702fe7https://doi.org/10.1103/physrevd.109.105003
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