35 citations · 35 across the 1 of their papers we have counts for
2 papers
quant-ph2012
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…
math.OA2009★ 35 cited
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)…