68 citations · 255 across the 23 of their papers we have counts for
23 papers
On the convergence of the variational quantum eigensolver and quantum optimal control
Marco Wiedmann, Daniel Burgarth, Gunther Dirr +3
When do variational quantum algorithms converge to a globally optimal solution? Despite extensive work, this question remains largely open. We develop a convergence theory for the…
Randomized Gradient Descents on Riemannian Manifolds: Almost Sure Convergence to Global Minima in and beyond Quantum Optimization
Emanuel Malvetti, Christian Arenz, Gunther Dirr +1
We analyze convergence of gradient-descent methods on Riemannian manifolds. In particular, we study randomization of Riemannian gradient algorithms for minimizing smooth cost funct…
Reachability, Coolability, and Stabilizability of Open Markovian Quantum Systems with Fast Unitary Control
Emanuel Malvetti, Frederik vom Ende, Gunther Dirr +1
Open Markovian quantum systems with fast and full Hamiltonian control can be reduced to an equivalent control system on the standard simplex modelling the dynamics of the eigenvalu…
Reduced Control Systems on Symmetric Lie Algebras
Emanuel Malvetti, Gunther Dirr, Frederik vom Ende +1
For a symmetric Lie algebra we consider a class of bilinear or more general control-affine systems on defined by a drift ve…
Exploring the Limits of Controlled Markovian Quantum Dynamics with Thermal Resources
Frederik vom Ende, Emanuel Malvetti, Gunther Dirr +1
Our aim is twofold: First, we rigorously analyse the generators of quantum-dynamical semigroups of thermodynamic processes. We characterise a wide class of GKSL-generators for quan…
Analytic, Differentiable and Measurable Diagonalizations in Symmetric Lie Algebras
Emanuel Malvetti, Gunther Dirr, Frederik vom Ende +1
We generalize several important results from the perturbation theory of linear operators to the setting of semisimple orthogonal symmetric Lie algebras. These Lie algebras provide…