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It is shown that a large class of weak disturbances on macroscopic quantumsuperpositions can be canceled by a probabilistic reversing operation on thesystem. We illustrate this for spin systems undergoing an Ising-typeinteraction with the environment and demonstrate that both the fidelity to theoriginal state and the purity of the amended state can simultaneously beincreased by the reversing operation. A possible experimental scheme toimplement our scheme is discussed.Comment: 21 pages, 2 figure

Probabilistic reversing operation with fidelity and purity gain for macroscopic quantum superposition