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20202026
most citedSolving nonlinear differential equations with differentiable quantum circuits

193 citations · 288 across the 15 of their papers we have counts for

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5 papers · 1 filter

quant-ph2026

Effective-Hamiltonian Quantum Solvers for Differential Equations: Alternative Constructions and Function Encodings

Annie E. Paine

Differential equations can be encoded as ground-state problems by constructing a positive-semidefinite effective Hamiltonian whose minimum-energy state represents the solution. We…

quant-ph2026

OpenQARP: a modular framework for quantum application research

Stefano Scali, Vicente P. Soloviev, Antonio Márquez Romero +7

We introduce OpenQARP, the Open Quantum Application Research Package: an open-source Python framework for quantum application research, built on a compiled C++ core. In OpenQARP, a…

quant-ph2026

Benchmarking a machine-learning differential equations solver on a neutral-atom logical processor

Pauline Mathiot, Elio Garnaoui, Axel-Ugo Leriche +37

We report on a performance comparison between physical and logical computations on a prototypical machine-learning application: solving differential equations using quantum kernel…

quant-ph2026

A unified quantum computing quantum Monte Carlo framework through structured state preparation

Giuseppe Buonaiuto, Antonio Marquez Romero, Brian Coyle +4

We extend Quantum Computing Quantum Monte Carlo (QCQMC) beyond ground-state energy estimation by systematically constructing the quantum circuits used for state preparation. Replac…

quant-ph2026

Weak forms offer strong regularisations: how to make physics-informed (quantum) machine learning more robust

Annie E. Paine, Smit Chaudhary, Antonio A. Gentile

Physics-informed (PI) methodologies have surged to become a pillar route to solve Differential Equations (DEs), sustained by the growth of machine learning methods in scientific co…