Query-to-Communication Lifting for BPP

Mika Göös; Toniann Pitassi; Thomas Watson

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arXiv · 1703.07666

Query-to-Communication Lifting for BPP

Mika Göös·Toniann Pitassi·Thomas Watson

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Abstract

For any $n$-bit boolean function $f$, we show that the randomized communication complexity of the composed function $f\circ g^n$, where $g$ is an index gadget, is characterized by the randomized decision tree complexity of $f$. In particular, this means that many query complexity separations involving randomized models (e.g., classical vs. quantum) automatically imply analogous separations in communication complexity.

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Mika Göös, Toniann Pitassi, Thomas Watson. 2017-03-22. Query-to-Communication Lifting for BPP. https://arxiv.org/abs/1703.07666

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