758 citations
- Center for Astrophysics Harvard & SmithsonianUS68 papers
- Massachusetts Institute of TechnologyUS62 papers
- California Institute of TechnologyUS55 papers
- Pennsylvania State UniversityUS38 papers
- The Ohio State UniversityUS34 papers
- University of Hawaii SystemUS31 papers
- University of California, BerkeleyUS30 papers
- Goddard Space Flight CenterUS29 papers
- Swarthmore CollegeUS28 papers
- University of ArizonaUS28 papers
- Vanderbilt UniversityUS26 papers
- Ames Research CenterUS25 papers
6 papers · 1 filter
Complete positivity of the map from a basis to its dual basis
Vern I. Paulsen, Fred Shultz
The dual of a matrix ordered space has a natural matrix ordering that makes the dual space matrix ordered as well. The purpose of these notes is to give a condition that describes…
Uniqueness of Quantum States Compatible with Given Measurement Results
Jianxin Chen, Hillary Dawkins, Zhengfeng Ji +4
We discuss the uniqueness of quantum states compatible with given results for measuring a set of observables. For a given pure state, we consider two different types of uniqueness:…
Perfect State Transfer on Signed Graphs
J. Brown, C. Godsil, D. Mallory +2
We study perfect state transfer of quantum walks on signed graphs. Our aim is to show that negative edges are useful for perfect state transfer. Specific results we prove include:…
Nordhaus-Gaddum Theorem for the Distinguishing Chromatic Number
Karen L. Collins, Ann Trenk
Nordhaus and Gaddum proved, for any graph G, that the chromatic number of G plus the chromatic number of G complement is less than or equal to the number of vertices in G plus 1. F…
Nonnegatively curved homogeneous metrics obtained by scaling fibers of submersions
Megan M. Kerr, Andreas Kollross
We consider invariant Riemannian metrics on compact homogeneous spaces G/H where an intermediate subgroup K between G and H exists, so that the homogeneous space G/H is the total s…
Nonnegatively curved homogeneous metrics in low dimensions
Megan M. Kerr, Andreas Kollross
We consider invariant Riemannian metrics on compact homogeneous spaces where an intermediate subgroup between and exists. In this case, the homogeneous space $G/H…