On the error estimate for cubature on Wiener space

It was pointed out in Crisan, Ghazali [2] that the error estimate for the cubature on Wiener space algorithm developed in Lyons, Victoir [11] requires an additional assumption on the drift. In this note we demonstrate that it is straightforward to adopt the analysis of Kusuoka [7] to obtain a general estimate without an additional assumptions on the drift. In the process we slightly sharpen the bounds derived in [7].