Tropical geometry may be seen as a subdiscipline of algebraic geometry. In the latter, the zero sets of systems of polynomial equations are studied using algebraic methods; in the former, these polynomials are defined via thetropical semiring,({{\mathbb {R}}}\cup \{-\infty \}, \boxplus ...
Quantum generative models provide inherently efficient sampling strategies and thus show promise for achieving an advantage using quantum hardware. In this work, we investigate the barriers to the trainability of quantum generative models posed by barren
The geometry and loading conditions for this component are shown in Figure 1. The FE model has about 60 000 elements and a single linear implicit load case as shown was considered. 72 Figure 2: Convergence history Figure 1: The initial geometry and loading conditions. The convergence history ...
A sample (gray) contains one or more spins to be measured (black cones). The measurement is performed on one of them at a time. The measurement device (tip) consists of spins attached to a vertically-bending cantilever (blue). The tip can contain a complex spin configuration, as shown ...
10, with range set to about 30 miles, could return information about the Bay Bridge, the San Mateo Bridge and the Dumbarton Bridge. FIG. 10 shows examples of other possible usage scenarios. A user associated with Beam D is on a plane and points his smartphone to the island below to ...
These results are related with the fact that δ(t, r) and the geometry of the interactions govern the correlations present in the state produced. For ET, FT two observables of disjoint support of radius r and t be the largest t such that Et and Ft have supports that intersect we can...
A sample (gray) contains one or more spins to be measured (black cones). The measurement is performed on one of them at a time. The measurement device (tip) consists of spins attached to a vertically-bending cantilever (blue). The tip can contain a complex spin configuration, as shown ...
The Fisher geometry is induced by the Fisher distance (more technically the Fisher–Rao metric [3]). It was introduced by Rao [4], building on Fisher’s seminal work [5] in statistics. These are examples of what we call information spaces [6]. Such spaces often exhibit unfamiliar ...
In CSG, an object is the result of a series of Boolean operations (difference, union, and intersection) of simpler objects such as spheres, cones, pyramids, or cylinders. In sweep volumes, a 2D surface together with a path is used to define a solid; the path defines the route over ...
The geometry and loading conditions for this component are shown in Figure 1. The FE model has about 60 000 elements and a single linear implicit load case as shown was considered. 72 Figure 2: Convergence history Figure 1: The initial geometry and loading conditions. The convergence history ...