66 citations · 131 across the 6 of their papers we have counts for
6 papers
Upper and Lower Semimodularity of the Supercharacter Theory Lattices of Cyclic Groups
Samuel G. Benidt, William R. S. Hall, Anders O. F. Hendrickson
We consider the lattice of supercharacter theories, in the sense of Diaconis and Isaacs, of the cyclic group of order n. We find necessary and sufficient conditions on n for that l…
Numerical evidence for the maximum number of mutually unbiased bases in dimension six
Paul Butterley, William Hall
The question of determining the maximal number of mutually unbiased bases in dimension six has received much attention since their introduction to quantum information theory, but a…
Compatibility of subsystem states and convex geometry
William Hall
The subsystem compatibility problem, which concerns the question of whether a set of subsystem states are compatible with a state of the entire system, has received much study. Her…
Constructions of indecomposable positive maps based on a new criterion for indecomposability
William Hall
We give a criterion for a positive mapping on the space of operators on a Hilbert space to be indecomposable. We show that this criterion can be applied to two families of positive…
Cluster state quantum computation for many-level systems
William Hall
The cluster state model for quantum computation [Phys. Rev. Lett. 86, 5188] outlines a scheme that allows one to use measurement on a large set of entangled quantum systems in what…
Multipartite reduction criteria for separability
William Hall
The reduction criterion is a well known necessary condition for separable states, and states violating this condition are entangled and also 1-distillable. In this paper we introdu…