19 citations · 77 across the 12 of their papers we have counts for
8 papers · 1 filter
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…