activity
20052023
most citedOptimal Control-Based Efficient Synthesis of Building Blocks of Quantum Algorithms Seen in Perspective from Network Complexity towards Time Complexity

158 citations · 413 across the 8 of their papers we have counts for

collaborators

8 papers

quant-ph2023★ 11 cited

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…

math.OC2019★ 5 cited

Reachable Sets from Toy Models to Controlled Markovian Quantum Systems

Gunther Dirr, Frederik vom Ende, Thomas Schulte-Herbrüggen

In the framework of bilinear control systems, we present reachable sets of coherently controllable open quantum systems with switchable coupling to a thermal bath of arbitrary temp…

math-ph2013★ 14 cited

Exploiting Matrix Symmetries and Physical Symmetries in Matrix Product States and Tensor Trains

T. Huckle, K. Waldherr, T. Schulte-Herbrueggen

We focus on symmetries related to matrices and vectors appearing in the simulation of quantum many-body systems. Spin Hamiltonians have special matrix-symmetry properties such as p…

quant-ph2012★ 59 cited

Computations in Quantum Tensor Networks

T. Huckle, K. Waldherr, T. Schulte-Herbrueggen

The computation of the ground state (i.e. the eigenvector related to the smallest eigenvalue) is an important task in the simulation of quantum many-body systems. As the dimension…

math-ph2007★ 24 cited

The Significance of the -Numerical Range and the Local -Numerical Range in Quantum Control and Quantum Information

Thomas Schulte-Herbrueggen, Gunther Dirr, Uwe Helmke +1

This paper shows how C-numerical-range related new strucures may arise from practical problems in quantum control--and vice versa, how an understanding of these structures helps to…

math-ph2007★ 21 cited

Relative "-Numerical Ranges for Applications in Quantum Control and Quantum Information

G. Dirr, U. Helmke, M. Kleinsteuber +1

Motivated by applications in quantum information and quantum control, a new type of "-numerical range, the relative "-numerical range denoted , is introduced. It ar…