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In this letter, we mainly investigate how to enhance the damaged quantumentanglement under an open Dirac system with Hawking effect withinSchwarzschild space-time. We consider that particle A hold by Alice undergoesgeneralized amplitude damping noise in a flat space-time and another particle Bby Bob entangled with A is under a Schwarzschild space-time. Subsequently, weput forward a physical scheme to recover the damaged quantum entanglement byprior weak measurement on subsystem A before the interaction with thedecoherence noise followed by post-measurement filtering operation. The resultsindicate that our scheme can effectively recover the damaged quantumentanglement affected by the Hawking effect and the noisy channel. Thus, ourwork might be beneficial to understand the dynamic behavior of quantum stateand recover the damaged quantum entanglement with open Dirac systems underHawking effect in the background of Schwarzschild black hole.

The enhancement of quantum entanglement under an open Dirac system with Hawking effect in Schwarzschild space-time