BIRS Workshop Lecture Videos
Query-to-Communication Lifting Göös, Mika
This will be a tutorial-style talk, with a particular focus on the following result. For any n-bit boolean function $f$, we show that the randomized communication complexity of the composed function $f o g^n$, where $g$ is a small 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. Joint work with Toniann Pitassi and Thomas Watson.
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