Killing quantum entanglement by acceleration or a black hole

TL;DR

This paper investigates how acceleration and black hole horizons cause sudden death of quantum entanglement in bipartite and tripartite systems, highlighting the impact of the Unruh effect and spacetime geometry.

Contribution

It demonstrates the phenomenon of entanglement sudden death due to acceleration and black hole effects for both bipartite and tripartite quantum states, using the Unruh-Wald model.

Findings

Bipartite entanglement vanishes at high acceleration.

Tripartite entanglement in GHZ and W states also suddenly dies.

Entanglement loss occurs near black hole horizons due to spacetime effects.

Abstract

We consider two entangled accelerating qubits coupled with real scalar fields, each described by the Unruh-Wald model. It is demonstrated that because of the Unruh effect, the bipartite entanglement of the two qubits suddenly dies when the acceleration of one or more qubits are large enough. We also consider three entangled accelerating qubits in GHZ state and in W state, with equal acceleration-frequency ratio, and found that in either state, the tripartite entanglement suddenly dies at a certain value of acceleration-frequency ratio. The equivalence between the Rindler metric and the Schwarzchild metric in the vicinity of the horizon of a black hole implies that for the two entangled qubits outside a black hole, the entanglement suddenly dies when one or both of the qubits are close enough to the horizon, while for the three entangled qubits in GHZ or W state, the tripartite entanglement suddenly dies when these qubits are close enough to the horizon.