37 citations · 81 across the 3 of their papers we have counts for
3 papers
Numerical shadow and geometry of quantum states
Charles F. Dunkl, Piotr Gawron, John A. Holbrook +3
The totality of normalised density matrices of order N forms a convex set Q_N in R^(N^2-1). Working with the flat geometry induced by the Hilbert-Schmidt distance we consider image…
Numerical shadows: measures and densities on the numerical range
Charles F. Dunkl, Piotr Gawron, John A. Holbrook +2
For any operator acting on an -dimensional Hilbert space we introduce its numerical shadow, which is a probability measure on the complex plane supported by the numeri…
Product numerical range in a space with tensor product structure
Zbigniew Puchała, Piotr Gawron, Jarosław Adam Miszczak +3
We study operators acting on a tensor product Hilbert space and investigate their product numerical range, product numerical radius and separable numerical range. Concrete bounds f…