  By exploiting a generalization of recent results on environment-assisted
channel correction, we show that, whenever a quantum system undergoes a channel
realized as an interaction with a probe, the more efficiently the information
about the input state can be erased from the probe, the higher is the
corresponding entanglement fidelity of the corrected channel, and vice-versa.
The present analysis applies also to channels for which perfect quantum erasure
is impossible, thus extending the original quantum eraser arrangement, and
naturally embodies a general information-disturbance tradeoff.
