4 papers
Error and Resource Estimates of Variational Quantum Algorithms for Solving Differential Equations Based on Runge-Kutta Methods
David Dechant, Liubov Markovich, Vedran Dunjko +1
A focus of recent research in quantum computing has been on developing quantum algorithms for differential equations solving using variational methods on near-term quantum devices.…
Quantum generative modeling for financial time series with temporal correlations
David Dechant, Eliot Schwander, Lucas van Drooge +4
Quantum generative adversarial networks (QGANs) have been investigated as a method for generating synthetic data with the goal of augmenting training data sets for neural networks.…
Mitigating shot noise in local overlapping quantum tomography with semidefinite programming
Zherui Jerry Wang, David Dechant, Yash J. Patel +1
Reduced density matrices (RDMs) are fundamental in quantum information processing, allowing the computation of local observables, such as energy and correlation functions, without…
Approximation and Generalization Capacities of Parametrized Quantum Circuits for Functions in Sobolev Spaces
Alberto Manzano, David Dechant, Jordi Tura +1
Parametrized quantum circuits (PQC) are quantum circuits which consist of both fixed and parametrized gates. In recent approaches to quantum machine learning (QML), PQCs are essent…