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We show that the increase of the generalized entropy by a quantum process outside the horizon of a black hole is more than the Holevo bound of the classical information lost into the black hole and which could be obtained by further observations outside the horizon. In the optimal case, the prepared information can be completely retrieved.doi:10.1103/physrevd.66.104011 fatcat:5lpizhxxxjeytbydkuofuk7upq