4 papers
Block encoding of semiseparable matrices via their generators
Giacomo Antonioli, Gianna M. Del Corso, Roel Van Beeumen
We present an explicit quantum circuit that constructs a block encoding of a generator-representable semiseparable (one-pair) matrix directly from its two generators. For an $N\tim…
Two-Tower Quantum Matrix Chain Multiplication: Trading Qubits for Depth
Giacomo Antonioli, Anna Bernasconi, Alessandro Berti +2
Matrix chain multiplication -- computing where -- arises in scientific computing, machine lear…
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…
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…