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
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
Solodukhin, Distributional geometry of squashed cones. Phys. Rev. D 88(4), 044054 (2013) Article ADS Google Scholar J. Camps, Generalized entropy and higher derivative gravity. JHEP 03, 070 (2014) Article ADS MathSciNet MATH Google Scholar X. Dong, Holographic entanglement entropy for ...
Major advances in the precision of magnetic measurements bring us closer to quantum detection of individual spins at the single-atom level. On the quest for reducing both classical and quantum measurement noise, it is intriguing to look forward and searc
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 ...
1.1Sum-of-squares hierarchy The sum-of-squares hierarchy for (1) that we study in this paper is defined by (2) The sequenceconsists of monotone upper bounds on, i.e., for anywe haveand. For each, the valuecan be computed by a semidefinite program of size, see e.g., [25,31]. ...
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...
19.The method for use in rendering from a virtual 3-D scene of claim 17, wherein each of the point sampling operations comprises tracing a ray in a direction, originating from the point, to determine whether the ray intersects geometry in the 3-D scene within the maximum distance. ...
For example, given information about the ego vehicle's current position and knowledge of the properties of the road network available in the database, it is generally possible to generate a nominal speed associated with travel along a particular road segment. Based on this it may be possible to...
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 ...