22 citations · 195 across the 32 of their papers we have counts for
4 papers · 1 filter
Quadratic Wasserstein metrics for von Neumann algebras via transport plans
Rocco Duvenhage
We show how one can obtain a class of quadratic Wasserstein metrics, that is to say, Wasserstein metrics of order 2, on the set of faithful normal states of a von Neumann algebra $…
-fermi systems and detailed balance
Vitonofrio Crismale, Rocco Duvenhage, Francesco Fidaleo
A systematic theory of product and diagonal states is developed for tensor products of -graded -algebras, as well as -graded -algebras. As a preli…
Optimal quantum channels
Rocco Duvenhage
A method to optimize the cost of a quantum channel is developed. The goal is to determine the cheapest channel that produces prescribed output states for a given set of input state…
Relative discrete spectrum of W*-dynamical systems
Rocco Duvenhage, Malcolm King
A definition of relative discrete spectrum of noncommutative W*-dynamical systems is given in terms of the basic construction of von Neumann algebras, motivated from three perspect…