Hermann G. Matthies

activity

20242026

collaborators

Showing 2026 · quant-phShow all

3 papers · 2 filters

quant-ph2026

Elementary Quantum Gates from Lie Group Embeddings in $U (2^{n})$ : 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 $U (2^{n})$ . Writing $N = 2^{n}$ , we…

quant-ph2026

Vistas of Algebraic Probability: Quantum Computation and Information

Antonio Falcó, Hermann G. Matthies

Kolmogorov's foundation of probability takes measure spaces, $σ$ -algebras, and probability measures as basic objects. It is, however, widely recognized that this classical framewor…

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 ${p_{k}}$ as an $n$ -qubit amplit…

Elementary Quantum Gates from Lie Group Embeddings in U(2n): Geometry, Universality, and Discretization

Vistas of Algebraic Probability: Quantum Computation and Information

A Rigorous and Self--Contained Proof of the Grover--Rudolph State Preparation Algorithm

Elementary Quantum Gates from Lie Group Embeddings in $U (2^{n})$ : Geometry, Universality, and Discretization