Exponential separation between shallow quantum circuits and unbounded fan-in shallow classical circuits
Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, pp. 515-526, 2019.
Low-depth circuits Non-local games Quantum circuits Switching lemma
Recently, Bravyi, Gosset, and Konig (Science, 2018) exhibited a search problem called the 2D Hidden Linear Function (2D HLF) problem that can be solved exactly by a constant-depth quantum circuit using bounded fan-in gates (or QNC^0 circuits), but cannot be solved by any constant-depth classical circuit using bounded fan-in AND, OR, and N...More
PPT (Upload PPT)