Spring 2017

Query-to-Communication Lifting for BPP

Thursday, March 9th, 2017 4:10 pm4:40 pm

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Calvin Lab Auditorium

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.