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Theory Seminar: Quantum One-Way Communication can be Exponentially Stronger Than Classical Communication
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Oded Regev (Tel-Aviv University)
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Wednesday, 26.1.2011, 12:20
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Room 337-8 Taub Bld.
In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only $O(\log n)$ qubits, but for which any classical (randomized, bounded-error) protocol requires $\poly(n)$ bits of communication. That quantum protocol requires two rounds of communication. Ever since Raz's paper it was open whether the same exponential separation can be achieved with a quantum protocol that uses only one round of communication. In other words, can quantum one-way communication be exponentially stronger than classical two-way communication? Here we settle this question in the affirmative.

Based on joint work with Bo'az Klartag.

NOTE: This talk is about lower bounds for *classical* communication complexity, so it does not require any knowledge in quantum communication complexity.
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