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Killing quantum entanglement by acceleration or a black hole

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arxiv 1507.00612 v2 pith:FHA7HHGY submitted 2015-07-02 gr-qc hep-thquant-ph

Killing quantum entanglement by acceleration or a black hole

classification gr-qc hep-thquant-ph
keywords qubitsentanglementdiesentangledstatesuddenlyblackenough
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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