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A lower bound on entanglement-assisted quantum communication complexity

Ashley Montanaro·Andreas Winter
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Abstract

We prove a general lower bound on the bounded-error entanglement-assisted quantum communication complexity of Boolean functions. The bound is based on the concept that any classical or quantum protocol to evaluate a function on distributed inputs can be turned into a quantum communication protocol. As an application of this bound, we give a very simple proof of the statement that almost all Boolean functions on n+n bits have linear communication complexity, even in the presence of unlimited entanglement.

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Ashley Montanaro, Andreas Winter. 2006-10-11. A lower bound on entanglement-assisted quantum communication complexity. https://arxiv.org/abs/quant-ph/0610085

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