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quant-ph2026
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…
quant-ph2026
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…
quant-ph2022★ 46 cited
Quantum Clustering with k-Means: a Hybrid Approach
Alessandro Poggiali, Alessandro Berti, Anna Bernasconi +2
Quantum computing is a promising paradigm based on quantum theory for performing fast computations. Quantum algorithms are expected to surpass their classical counterparts in terms…