Jinge Bao

Learning Junta Distributions, Quantum Junta States, and QAC$^0$ Circuits

In this work, we consider the problems of learning junta distributions, their quantum counterparts (quantum junta states), and $\mathsf{QAC}^0$ circuits, which we show to be close to juntas. (1) Junta distributions. A probability distribution $p:${-1,1}$^n\to \mathbb [0,1]$ is a $k$-junta if it only…