Entanglement Degradation in Causal Diamonds

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.

42 pages, 4 figures

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Cited by in corpus (8)

• Generation of quantum entanglement in superposed diamond spacetime
• Conformal quantum mechanics of causal diamonds: Time evolution, thermality, and instability via path integral functionals
• Path integral derivation of the thermofield double state in causal diamonds
• Horizon brightened acceleration radiation entropy in causal diamond geometry: A near-horizon perspective
• Does relativistic motion really freeze initially maximal entanglement?
• Non-monotonic evolution of multipartite entanglement under the Unruh effect
• Bosonic and fermionic mutual information of N-partite systems in dilaton black hole background
• Thermal nature of the causal diamond horizon: A hidden property of the inertial propagator