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
Lecture 3: composition, tensor product, channels, Heisenberg picture, Schrödinger picture, complete positivity, channel examples: unitary, depolarizing, von Neumann measurement. Lecture 4: state space, probabilites, composition positivity, geometry of cones. Lecture 5: geometry, extremal points, pure...
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 ...
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...
(see FIGS. 4-5 as examples) can be generated. In one example, cones may be marches from different origins, but these all require light energy characterization data from the same portion of the 3-D scene at the same level of granularity (which can be determined by distance from respective...
that the vehicle has entered or is about to enter a second environment that is different than the first environment; receiving, by the one or more processors, second information that identifies or defines a second function-related feature of the second environment that is different than the first...
The stream is then pipelined through the GPU's geometry and pixel subsystems so as to create a bitmap of pixels in the Frame Buffer, and finally a rendered image of the scene is displayed on a display screen. The generation of a sequence of successive frames produces a visual illusion of...