We generalize the classical shadow tomography scheme to a broad class of finite-depth or finite-time local unitary ensembles, known as locally scrambled quantum dynamics, where ensemble is invariant under local-basis transformations. In this case, reconstruction map for depends only on average entanglement feature snapshots. provide an unbiased estimator state linear combination reduced snapsho...

Hybrids of equidistribution and Monte Carlo methods of integration can achieve the superior accuracy of the former while allowing the simple error estimation methods of the latter. This paper studies the variance of one such hybrid, scrambled nets, by applying a multidimensional multiresolution (wavelet) analysis to the integrand. The integrand is assumed to be measurable and square integrable ...

The ability of the human visual system to recognize partially occluded objects is a striking feat, which has received extensive psychophysical documentation. Here we studied the manifestation of completion effects in the functional magnetic resonance imaging (fMRI) activation of high-order object areas (the lateral occipital complex - LOC). Subjects were presented with three types of images: (i...

Category selective regions in the ventral visual stream are considered to support higher-level representations of objects. The aim of this study was to determine the extent to which category selectivity in face and place regions can be explained by selectivity for low-level features of these complex objects. First, we compared the relative responses to intact and Fourier-scrambled images of fac...