19 citations · 77 across the 12 of their papers we have counts for
13 papers
Geodesics for mixed quantum states via their geometric mean operator
Paul M. Alsing, Carlo Cafaro, Shannon Ray
We examine the geodesic between two mixed states of arbitrary dimension by means of their geometric mean operator. We utilize the fiber bundle approach by which the distance betwee…
A Differential-Geometric Approach to Quantum Ignorance Consistent with Entropic Properties of Statistical Mechanics
Shannon Ray, Paul M. Alsing, Carlo Cafaro +1
In this paper, we construct the metric tensor and volume for the manifold of purifications associated with an arbitrary reduced density operator . We also define a quantum coa…
Optimal-speed unitary quantum time evolutions and propagation of light with maximal degree of coherence
Carlo Cafaro, Shannon Ray, Paul M. Alsing
It is recognized that Grover arrived at his original quantum search algorithm inspired by his comprehension of the interference of classical waves originating from an array of ante…
Canonical Quantum Coarse-Graining and Surfaces of Ignorance
Shannon Ray, Paul M. Alsing, Carlo Cafaro +1
In this paper we introduce a canonical quantum coarse-graining and use negentropy to connect ignorance as measured by quantum information entropy and ignorance related to quantum c…
Complexity and efficiency of minimum entropy production probability paths from quantum dynamical evolutions
Carlo Cafaro, Shannon Ray, Paul M. Alsing
We present an information geometric characterization of quantum driving schemes specified by su(2;C) time-dependent Hamiltonians in terms of both complexity and efficiency concepts…
Geometric aspects of analog quantum search evolutions
Carlo Cafaro, Shannon Ray, Paul M. Alsing
We use geometric concepts originally proposed by Anandan and Aharonov to show that the Farhi-Gutmann time optimal analog quantum search evolution between two orthogonal quantum sta…
Quantifying Tri-partite Entanglement with Entropic Correlations
James Schneeloch, Christopher C. Tison, Michael L. Fanto +2
We show how to quantify tri-partite entanglement using entropies derived from experimental correlations. We use a multi-partite generalization of the entanglement of formation that…
The maximum advantage of quantum illumination
Shannon Ray, James Schneeloch, Christopher C. Tison +1
Discriminating between quantum states is a fundamental problem in quantum information protocols. The optimum approach saturates the Helstrom bound, which quantifies the unavoidable…
Wang and Yau's Quasi-Local Energy for an Extreme Kerr Spacetime
Warner A. Miller, Shannon Ray, Mu-Tao Wang +1
There exist constant radial surfaces, , that may not be globally embeddable in for Kerr spacetimes with . To compute the Brown and York (…
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…
Equivalence of Simplicial Ricci Flow and Hamilton's Ricci Flow for 3D Neckpinch Geometries
Warner A. Miller, Paul M. Alsing, Matthew Corne +1
Hamilton's Ricci flow (RF) equations were recently expressed in terms of the edge lengths of a d-dimensional piecewise linear (PL) simplicial geometry, for d greater than or equal…
Simplicial Ricci Flow: An Example of a Neck Pinch Singularity in 3D
Paul M. Alsing, Warner A. Miller, Matthew Corne +4
We examine a Type-1 neck pinch singularity in simplicial Ricci flow (SRF) for an axisymmetric piecewise flat 3-dimensional geometry with 3-sphere topology. SRF was recently introdu…