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quant-ph2025

Pulsed learning for quantum data re-uploading models

Ignacio B. Acedo, Pablo Rodriguez-Grasa, Pablo Garcia-Azorin +1

While Quantum Machine Learning (QML) holds great potential, its practical realization on Noisy Intermediate-Scale Quantum (NISQ) hardware has been hindered by the limitations of va…

quant-ph2025

Quantum Algorithm for Local-Volatility Option Pricing via the Kolmogorov Equation

Nikita Guseynov, Mikel Sanz, Ángel Rodríguez-Rozas +2

The solution of option-pricing problems may turn out to be computationally demanding due to non-linear and path-dependent payoffs, the high dimensionality arising from multiple und…

quant-ph2025

Cost of Emulating a Small Quantum Annealing Problem in the Circuit-Model

Javier Gonzalez-Conde, Zachary Morrell, Marc Vuffray +2

Demonstrations of quantum advantage for certain sampling problems have generated considerable excitement for quantum computing and have further spurred the development of circuit-m…

quant-ph2025

Quantum approximated cloning-assisted density matrix exponentiation

Pablo Rodriguez-Grasa, Ruben Ibarrondo, Javier Gonzalez-Conde +3

Classical information loading is an essential task for many processing quantum algorithms, constituting a cornerstone in the field of quantum machine learning. In particular, the e…

quant-ph2024

Quantum Carleman linearisation efficiency in nonlinear fluid dynamics

Javier Gonzalez-Conde, Dylan Lewis, Sachin S. Bharadwaj +1

Computational fluid dynamics (CFD) is a specialised branch of fluid mechanics that utilises numerical methods and algorithms to solve and analyze fluid-flow problems. One promising…

quant-ph2024

Efficient quantum amplitude encoding of polynomial functions

Javier Gonzalez-Conde, Thomas W. Watts, Pablo Rodriguez-Grasa +1

Loading functions into quantum computers represents an essential step in several quantum algorithms, such as quantum partial differential equation solvers. Therefore, the inefficie…