22 citations · 195 across the 32 of their papers we have counts for
8 papers · 1 filter
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…
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…
Detailed balance and entanglement
Rocco Duvenhage, Machiel Snyman
We study a connection between quantum detailed balance, which is a concept of importance in statistical mechanics, and entanglement. We also explore how this connection fits into t…
The general structure and ergodic properties of quantum and classical mechanics: A unified C*-algebraic approach
Rocco Duvenhage
Quantum mechanics is essentially a statistical theory. Classical mechanics, however, is usually not viewed as being inherently statistical. Nevertheless, the latter can also be for…