output
20132024
most citedAnomaly detection with variational quantum generative adversarial networks

63 citations

6 papers

quant-ph2024

Quantum tree generator improves QAOA state-of-the-art for the knapsack problem

Paul Christiansen, Lennart Binkowski, Debora Ramacciotti +1

This paper introduces a novel approach to the Quantum Approximate Optimization Algorithm (QAOA), specifically tailored to the knapsack problem. We combine the recently proposed qua…

q-fin.CP2021

Time-adaptive high-order compact finite difference schemes for option pricing in a family of stochastic volatility models

Bertram Düring, Christof Heuer

We propose a time-adaptive, high-order compact finite difference scheme for option pricing in a family of stochastic volatility models. We employ a semi-discrete high-order compact…

quant-ph2020★ 63 cited

Anomaly detection with variational quantum generative adversarial networks

Daniel Herr, Benjamin Obert, Matthias Rosenkranz

Generative adversarial networks (GANs) are a machine learning framework comprising a generative model for sampling from a target distribution and a discriminative model for evaluat…

math.PR2019★ 17 cited

Infinite dimensional affine processes

Thorsten Schmidt, Stefan Tappe, Weijun Yu

The goal of this article is to investigate infinite dimensional affine diffusion processes on the canonical state space. This includes a derivation of the corresponding system of R…

quant-ph2018★ 10 cited

Fractional Angular Momenta, Gouy and Berry phases in Relativistic Bateman-Hillion-Gaussian Beams of Electrons

Robert J. Ducharme, Irismar Gonçalves da Paz, Armen G. Hayrapetyan

A new Bateman-Hillion solution to the Dirac equation for a relativistic Gaussian electron beam taking explicit account of the -position of the beam waist is presented. This solu…

nlin.CD2013★ 39 cited

Generalized synchronization in relay systems with instantaneous coupling

Ricardo Gutierrez, Ricardo Sevilla-Escoboza, Pablo Piedrahita +7

We demonstrate the existence of generalized synchronization in systems that act as mediators between two dynamical units that, in turn, show complete synchronization with each othe…