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The bidirectional steering between two accelerated partners sharing initiallydifferent classes of entangled states is discussed. Due to the decoherence, thesteerability and its degree decrease either as the acceleration increases orthe partners share initially a small amount of quantum correlations. Thepossibility of increasing the steerability is investigated by applying thefiltering process. Our results show that by increasing the filtering strength,one can improve the upper bounds of the steerability and the range ofacceleration at which the steerability is possible. Steering large coherentstates is much better than steering less coherent ones.

Improving the bidirectional steerability between two accelerated partners via filtering process