Holger Eble
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View article: An Extended Analysis of the Correlation Extraction Algorithm in the Context of Linear Cryptanalysis
An Extended Analysis of the Correlation Extraction Algorithm in the Context of Linear Cryptanalysis Open
In cryptography, techniques and tools developed in the subfield of linear cryptanalysis have previously successfully been used to allow attackers to break many sophisticated cryptographic ciphers. Since these linear cryptanalytic technique…
View article: Introducing the Kernel Descent Optimizer for Variational Quantum Algorithms
Introducing the Kernel Descent Optimizer for Variational Quantum Algorithms Open
In recent years, variational quantum algorithms have garnered significant attention as a candidate approach for near-term quantum advantage using noisy intermediate-scale quantum (NISQ) devices. In this article we introduce kernel descent,…
View article: Denoising Gradient Descent in Variational Quantum Algorithms
Denoising Gradient Descent in Variational Quantum Algorithms Open
In this article we introduce an algorithm for mitigating the adverse effects of noise on gradient descent in variational quantum algorithms. This is accomplished by computing a {\emph{regularized}} local classical approximation to the obje…
View article: Denoising Gradient Descent in Variational Quantum Algorithms
Denoising Gradient Descent in Variational Quantum Algorithms Open
In this article we introduce an algorithm for mitigating the adverse effects of noise on gradient descent in variational quantum algorithms. This is accomplished by computing a {\emph{regularized}} local classical approximation to the obje…
View article: Master regulators of biological systems in higher dimensions
Master regulators of biological systems in higher dimensions Open
A longstanding goal of biology is to identify the key genes and species that critically impact evolution, ecology, and health. Network analysis has revealed keystone species that regulate ecosystems and master regulators that regulate cell…
View article: Computing Characteristic Polynomials of Hyperplane Arrangements with Symmetries
Computing Characteristic Polynomials of Hyperplane Arrangements with Symmetries Open
We introduce a new algorithm computing the characteristic polynomials of hyperplane arrangements which exploits their underlying symmetry groups. Our algorithm counts the chambers of an arrangement as a byproduct of computing its character…
View article: Interpolating Parametrized Quantum Circuits using Blackbox Queries
Interpolating Parametrized Quantum Circuits using Blackbox Queries Open
This article focuses on developing classical surrogates for parametrized quantum circuits using interpolation via (trigonometric) polynomials. We develop two algorithms for the construction of such surrogates and prove performance guarante…
View article: The MST-fan of a regular subdivision
The MST-fan of a regular subdivision Open
The dual graph $Γ(h)$ of a regular triangulation $Σ(h)$ carries a natural metric structure. The minimum spanning trees of $Γ(h)$ recently proved to be conclusive for detecting significant data signal in the context of population genetics. …
View article: Enumerating chambers of hyperplane arrangements with symmetry
Enumerating chambers of hyperplane arrangements with symmetry Open
We introduce a new algorithm for enumerating chambers of hyperplane arrangements which exploits their underlying symmetry groups. Our algorithm counts the chambers of an arrangement as a byproduct of computing its characteristic polynomial…
View article: Computing characteristic polynomials of hyperplane arrangements with symmetries
Computing characteristic polynomials of hyperplane arrangements with symmetries Open
We introduce a new algorithm computing the characteristic polynomials of hyperplane arrangements which exploits their underlying symmetry groups. Our algorithm counts the chambers of an arrangement as a byproduct of computing its character…
View article: Master regulators of evolution and the microbiome in higher dimensions
Master regulators of evolution and the microbiome in higher dimensions Open
A longstanding goal of biology is to identify the key genes and species that critically impact evolution, ecology, and health. Network analysis has revealed keystone species that regulate ecosystems and master regulators that regulate cell…