Title

Query-to-communication lifting for BPP

Abstract

For any n-bit boolean function f, we show that the randomized communication complexity of the composed function f \circ gn, 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.

Publication Title

SIAM Journal on Computing

Share

COinS