46 citations · 78 across the 15 of their papers we have counts for
16 papers
Dynamical Decoupling using Universal Optimal Tracking
Amit Devra, Emanuel Malvetti, Niklas J. Glaser +7
Dynamical decoupling (DD) is a widely used and resource-efficient technique for error suppression, but conventional DD relies on periodically repeating a short pulse block to refoc…
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…
Theory and Experimental Demonstration of Wigner Tomography of Unknown Unitary Quantum Gates
Amit Devra, Léo Van Damme, Frederik vom Ende +2
We investigate the tomography of unknown unitary quantum processes within the framework of a finite-dimensional Wigner-type representation. This representation provides a rich visu…
Optimal Control of Bipartite Quantum Systems
Emanuel Malvetti, Léo Van Damme
Closed bipartite quantum systems subject to fast local unitary control are studied using quantum optimal control theory and a method of reduced control systems based on the Schmidt…
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…
Optimal Control of a Markovian Qubit with Unitary Control
Emanuel Malvetti
We study a single Markovian qubit governed by a Lindblad master equation and subject to fast unitary control. Using reduced control systems and optimal control theory we determine…
Provably Time-Optimal Cooling of Markovian Quantum Systems
Emanuel Malvetti
We address the problem of cooling a Markovian quantum system to a pure state in the shortest amount of time possible. Here the system drift takes the form of a Lindblad master equa…
Entanglement in Bipartite Quantum Systems with Fast Local Unitary Control
Emanuel Malvetti
The well-known Schmidt decomposition, or equivalently, the complex singular value decomposition, states that a pure quantum state of a bipartite system can always be brought into a…
Computing Common Eigenvectors and Simultaneous Triangulation
Emanuel Malvetti
We propose an efficient algorithm for computing a common eigenvector of a finite set of square matrices. As an immediate consequence we obtain an algorithm for determining whether…
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…
The Thermomajorization Polytope and Its Degeneracies
Frederik vom Ende, Emanuel Malvetti
Drawing inspiration from transportation theory, in this work we introduce the notions of "well-structured" and "stable" Gibbs states and we investigate their implications for quant…
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…
Quantum Circuits for Sparse Isometries
Emanuel Malvetti, Raban Iten, Roger Colbeck
We consider the task of breaking down a quantum computation given as an isometry into C-NOTs and single-qubit gates, while keeping the number of C-NOT gates small. Although several…
Introduction to UniversalQCompiler
Raban Iten, Oliver Reardon-Smith, Emanuel Malvetti +5
We introduce an open source software package UniversalQCompiler written in Mathematica that allows the decomposition of arbitrary quantum operations into a sequence of single-qubit…