3 papers
quant-ph2026
A Rigorous and Self--Contained Proof of the Grover--Rudolph State Preparation Algorithm
Antonio Falco, Daniela Falco-Pomares, Hermann G. Matthies
We give a rigorous and self-contained analysis of the Grover--Rudolph quantum state-preparation algorithm, which encodes a probability distribution as an -qubit amplit…
quant-ph2026
On the encoding complexity of quantum numerical integration: an angle-structure characterization
Francisco Chinesta, Antonio Falco, Daniela Falco-Pomares
We study numerical integration on by quantum amplitude estimation (QAE), with emphasis on the cost of constructing the amplitude oracle. We introduce a hierarchy of grid fu…
quant-ph2026
Elementary Quantum Gates from Lie Group Embeddings in : Geometry, Universality, and Discretization
Antonio Falco, Daniela Falco-Pomares, Hermann G. Matthies
In the standard circuit model, elementary gates are defined relative to a chosen tensor factorization and are therefore extrinsic to the ambient group . Writing , we…