22 citations · 195 across the 32 of their papers we have counts for
32 papers
Fermionic optimal transport
Rocco Duvenhage, Dylan van Zyl, Paola Zurlo
Quadratic Wasserstein distances are obtained between dynamical systems (with states as special case), on -graded von Neumann algebras. This is achieved through a syst…
Quantum detailed balance via elementary transitions
Rocco Duvenhage, Kyle Oerder, Keagan van den Heuvel
Quantum detailed balance is formulated in terms of elementary transitions, in close analogy to detailed balance in a classical Markov chain on a finite set of points. An elementary…
Quantum Wasserstein distance of order 1 between channels
Rocco Duvenhage, Mathumo Mapaya
We set up a general theory for a quantum Wasserstein distance of order 1 in an operator algebraic framework, extending recent work in finite dimensions. In addition, this theory ap…
Extending quantum detailed balance through optimal transport
Rocco Duvenhage, Samuel Skosana, Machiel Snyman
We develop a general approach to setting up and studying classes of quantum dynamical systems close to and structurally similar to systems having specified properties, in particula…
Wasserstein distance between noncommutative dynamical systems
Rocco Duvenhage
We study a class of quadratic Wasserstein distances on spaces consisting of generalized dynamical systems on a von Neumann algebra. We emphasize how symmetry of such a Wasserstein…
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 $…