3 papers
math-ph2025
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…
quant-ph2025
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…
quant-ph2024
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…