15 citations · 25 across the 6 of their papers we have counts for
7 papers
Soft inductive limits of operator systems and a noncommutative Lazar-Lindenstrauss theorem
Kristin Courtney, Niklas Galke, Lauritz van Luijk +1
We establish a flexible generalization of inductive systems of operator systems, which relaxes the usual transitivity (or coherence) condition to an asymptotic version thereof and…
Formal Framework for Quantum Advantage
Harry Buhrman, Niklas Galke, Konstantinos Meichanetzidis
Motivated by notions of quantum heuristics and by average-case rather than worst-case algorithmic analysis, we define quantum computational advantage in terms of individual problem…
Convergence Rates for the Trotter Splitting for Unbounded Operators
Simon Becker, Niklas Galke, Robert Salzmann +1
We study convergence rates of the Trotter splitting in the strong operator topology. In the first part, we use complex interpola…
Quantum Harmonic Analysis on locally compact abelian groups
Robert Fulsche, Niklas Galke
We extend the notions of quantum harmonic analysis, as introduced in R. Werner's paper from 1984 (J. Math. Phys. 25(5)), to abelian phase spaces, by which we mean a locally compact…
Sufficiency of Rényi divergences
Niklas Galke, Lauritz van Luijk, Henrik Wilming
A set of classical or quantum states is equivalent to another one if there exists a pair of classical or quantum channels mapping either set to the other one. For dichotomies (pair…
Error bounds for Lie Group representations in quantum mechanics
Lauritz van Luijk, Niklas Galke, Alexander Hahn +1
We provide state-dependent error bounds for strongly continuous unitary representations of connected Lie groups. That is, we bound the difference of two unitaries applied to a stat…
State-dependent Trotter Limits and their approximations
Daniel Burgarth, Niklas Galke, Alexander Hahn +1
The Trotter product formula is a key instrument in numerical simulations of quantum systems. However, computers cannot deal with continuous degrees of freedom, such as the position…