On the Power of Feedback in Interactive Channels
نویسنده
چکیده
In classical information theory it is well-known that feedback does not improve the channel capacity. We demonstrate that this is not the case in the interactive setting by developing a new coding scheme for interactive communication over the binary symmetric channel (BSC) with feedback that allows recovery of the original communication with vanishing probability of error. More precisely, we show that the interactive channel capacity of BSC with feedback and bit-flip probability is at least 1−O( √ ), while the upper bound on BSC without feedback was recently shown to be 1− Ω( √ H( )) by Gillat Kol and Ran Raz.
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