103 citations · 649 across the 46 of their papers we have counts for
4 papers · 1 filter
A CNOT Gate in a Glass Chip
Paul M. Alsing, Grigoriy Kreymerman, Warner A. Miller
In our earlier work we posited that simple quantum gates and quantum algorithms can be designed utilizing the diffraction phenomena of a photon within a multiplexed holographic ele…
Adiabatic Isometric Mapping Algorithm for Embedding 2-Surfaces in Euclidean 3-Space
Shannon Ray, Warner A. Miller, Paul M. Alsing +1
Alexandrov proved that any simplicial complex homeomorphic to a sphere with strictly non-negative Gaussian curvature at each vertex can be isometrically embedded uniquely in $\math…
Distributed mean curvature on a discrete manifold for Regge calculus
Rory Conboye, Warner A. Miller, Shannon Ray
The integrated mean curvature of a simplicial manifold is well understood in both Regge Calculus and Discrete Differential Geometry. However, a well motivated pointwise definition…
Topological Signals of Singularities in Ricci Flow
Paul M. Alsing, Howard A. Blair, Matthew Corne +4
We implement methods from computational homology to obtain a topological signal of singularity formation in a selection of geometries evolved numerically by Ricci flow. Our approac…