19 citations · 28 across the 4 of their papers we have counts for
4 papers
Low rank separable states are a set of measure zero within the set of low rank states
Robert Lockhart
It is shown that the set of rank r separable states is measure zero within the set of low rank states provided r is less than an upper bound which depends upon the number of partic…
Non-maximal rank separable states are a set of measure 0 within the set of non-maximal rank states
Robert B. Lockhart
This paper is being withdrawn due to an error in the proof. Hao Chen has shown the author in the two qubit case that there is an open set of three dimensional subspaces that are sp…
Geometry and Product States
Robert B. Lockhart, Michael J. Steiner, Karl Gerlach
As separable states are a convex combination of product states, the geometry of the manifold of product states is studied. Prior results by Sanpera, Vidal and Tarrach are extended.…
Preserving entanglement under decoherence and sandwiching all separable states
Robert Lockhart, Michael Steiner
Every entangled state can be perturbed, for instance by decoherence, and stay entangled. For a large class of pure entangled states, we show how large the perturbation can be. Our…