activity
20242026
most citedProvable quantum speedups for computing persistence in topological data analysis

2 citations · 2 across the 2 of their papers we have counts for

collaborators

9 papers

quant-ph20262 cited

Provable quantum speedups for computing persistence in topological data analysis

Casper Gyurik, Alexander Schmidhuber, Robbie King +2

Topological data analysis (TDA) aims to extract noise-robust features from a data set by examining the number and persistence of holes in its topology. We provide an efficient quan…

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-ph2025

Computational complexity of the homology problem with orientable filtration: MA-completeness

Ryu Hayakawa, Casper Gyurik, Mahtab Yaghubi Rad +1

We show the existence of an MA-complete homology problem for a certain subclass of simplicial complexes. The problem is defined through a new concept of orientability of simplicial…

quant-ph2025

From quantum feature maps to quantum reservoir computing: perspectives and applications

Casper Gyurik, Filip Wudarski, Evan Philip +5

We explore the interplay between two emerging paradigms: reservoir computing and quantum computing. We observe how quantum systems featuring beyond-classical correlations and vast…

quant-ph2025

On the relation between trainability and dequantization of variational quantum learning models

Elies Gil-Fuster, Casper Gyurik, Adrián Pérez-Salinas +1

The quest for successful variational quantum machine learning (QML) relies on the design of suitable parametrized quantum circuits (PQCs), as analogues to neural networks in classi…

quant-ph2025

Differential equation quantum solvers: engineering measurements to reduce cost

Annie Paine, Casper Gyurik, Antonio Andrea Gentile

Quantum computers have been proposed as a solution for efficiently solving non-linear differential equations (DEs), a fundamental task across diverse technological and scientific d…