Volume 18 (2022) Article 17 pp. 1-11 [Note]
A Stochastic Calculus Approach to the Oracle Separation of $\mathsf{BQP}$ and $\mathsf{PH}$
Recently, Ran Raz and Avishay Tal proved that in some relativized world, $\mathsf{BQP}$ is not contained in the polynomial-time hierarchy (STOC'19). It has been suggested that some aspects of the proof may be simplified by stochastic calculus. In this note, we describe such a simplification.