63 citations · 123 across the 6 of their papers we have counts for
7 papers
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:…
Finding decompositions of a class of separable states
Erik Alfsen, Fred Shultz
By definition a separable state has the form \sum A_i \otimes B_i, where 0 \leq A_i, B_i for each i. In this paper we consider the class of states which admit such a decomposition…
Unique decompositions, faces, and automorphisms of separable states
Erik Alfsen, Fred Shultz
Let S_k be the set of separable states on B(C^m \otimes C^n) admitting a representation as a convex combination of k pure product states, or fewer. If m>1, n> 1, and k \le max(m,n)…
C*-algebras associated with interval maps
Valentin Deaconu, Fred Shultz
For each piecewise monotonic map tau of [0,1], we associate a pair of C*-algebras F_tau and O_tau and calculate their K-groups. The algebra F_tau is an AI-algebra. We characterize…
Dimension groups for interval maps II: the transitive case
Fred Shultz
Any continuous, transitive, piecewise monotonic map is determined up to a binary choice by its dimension module with the associated finite sequence of generators. The dimension mod…