From the 1 of 3 linked papers with an AI index.
3 papers
Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth
Giacomo Antonioli, Anna Bernasconi, Alessandro Berti +2
The paper proposes a quantum subroutine called Two‑Tower Matrix Multiplication that encodes the product of a chain of matrices into a quantum state with circuit depth independent o…
Quantum block encoding for one-pair semiseparable matrices
Giacomo Antonioli, Paola Boito, Gianna M. Del Corso +1
Quantum block encoding (QBE) is a crucial step in the development of most quantum algorithms, as it provides an embedding of a given matrix into a suitable larger unitary matrix. H…
A Quantum Spectral Framework for Solving PDEs
Chih-Kang Huang, Giacomo Antonioli, Frédéric Barbaresco
Partial differential equations (PDEs) are fundamental across numerous scientific fields. As these problems scale to high dimensions, classical numerical schemes introduce severe co…