TR11-164 Authors: Mark Braverman, Omri Weinstein

Publication: 9th December 2011 04:42

Downloads: 2520

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This paper provides the first general technique for proving information lower bounds on two-party

unbounded-rounds communication problems. We show that the discrepancy lower bound, which

applies to randomized communication complexity, also applies to information complexity. More

precisely, if the discrepancy of a two-party function $f$ with respect to a distribution $\mu$ is $Disc_\mu f$,

then any two party randomized protocol computing $f$ must reveal at least $\Omega(\log (1/Disc_\mu f))$ bits

of information to the participants. As a corollary, we obtain that any two-party protocol

for computing a random function on $\{0,1\}^n\times\{0,1\}^n$ must reveal $\Omega(n)$ bits of information to

the participants. The proof develops a new simulation result that may be of an independent interest.