22 citations · 195 across the 32 of their papers we have counts for
5 papers · 1 filter
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…
Fermionic quantum detailed balance and entanglement
Rocco Duvenhage
A definition of detailed balance tailored to a system of indistinguishable fermions is suggested and studied using an entangled fermionic state. This is done in analogy to a known…
Balance between quantum Markov semigroups
Rocco Duvenhage, Machiel Snyman
The concept of balance between two state preserving quantum Markov semigroups on von Neumann algebras is introduced and studied as an extension of conditions appearing in the theor…
Noncommutative Ricci flow in a matrix geometry
Rocco Duvenhage
We study noncommutative Ricci flow in a finite dimensional representation of a noncommutative torus. It is shown that the flow exists and converges to the flat metric. We also cons…
Evolution integrals
Rocco Duvenhage
A framework analogous to path integrals in quantum physics is set up for abstract dynamical systems in a W*-algebraic setting. We consider spaces of evolutions, defined in a specif…