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Quantum multiparty communication complexity and circuit lower bounds

Published online by Cambridge University Press:  01 February 2009

IORDANIS KERENIDIS
IORDANIS KERENIDIS*
Affiliation:
CNRS, LRI-Université de Paris-Sud, Paris, France Email: jkeren@lri.fr
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Abstract

We define a quantum model for multiparty communication complexity and prove a simulation theorem between the classical and quantum models. As a result, we show that if the quantum k-party communication complexity of a function f is Ω(n/2k), its classical k-party communication is Ω(n/2k/2). Finding such an f would allow us to prove strong classical lower bounds for k ≥ log n players and make progress towards solving a major open question about symmetric circuits.

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Type
Paper
Information
Mathematical Structures in Computer Science , Volume 19 , Special Issue 1: Theory and Applications of Models of Computation (TAMC) , February 2009 , pp. 119 - 132
Copyright
Copyright © Cambridge University Press 2009

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