5 papers
Approximate Sparse State Preparation with the Grover-Rudolph Algorithm
Debora Ramacciotti, Martin Steinbach, Bence Temesi +2
Sparse quantum state preparation is a common subroutine in quantum algorithms, where classical data with few nonzero entries must be loaded into a quantum state. In this work, we c…
Beyond asymptotic scaling: Comparing functional quantum linear solvers
Andreea-Iulia Lefterovici, Michael Perk, Debora Ramacciotti +3
Solving systems of linear equations is a key subroutine in many quantum algorithms. In the last 15 years, many quantum linear solvers (QLS) have been developed, competing to achiev…
Stability of Objective Structures: General Criteria and Applications
Bernd Schmidt, Martin Steinbach
We develop a general stability analysis for objective structures, which constitute a far reaching generalization of crystal lattice systems. We show that these particle systems, al…
Korn type Inequalities for Objective Structures
Bernd Schmidt, Martin Steinbach
We establish discrete Korn type inequalities for particle systems within the general class of objective structures that represents a far reaching generalization of crystal lattice…
On discrete groups of Euclidean isometries: representation theory, harmonic analysis and splitting properties
Bernd Schmidt, Martin Steinbach
We study structural properties and the harmonic analysis of discrete subgroups of the Euclidean group. In particular, we 1. obtain an efficient description of their dual space, 2.…