Author

G. M. del Corso

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Preprint Oct 2026

Cayley access models for matrix functions: reachable class and cost

We study how to compute $f(A)b$ on a quantum computer, where $A$ is Hermitian. When $f$ is nonsmooth or has localized difficulty in the spectrum, classical numerical linear algebra approximates it with rational functions rather than polynomials. We propose the Cayley transform, parameterized by $\sigma \in \mathbb{R}$...

G. M. del Corso · 0 citations

Preprint Oct 2026

Block encoding of semiseparable matrices via their generators

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 $N\times N$ semiseparable matrix with $N=2^{n}$, the circuit uses $2n+2$ ancilla qubits and has $O({\rm polylog} N)$ depth, and it realizes a $(2\...

Giacomo Antonioli, G. M. del Corso, R. Van Beeumen · 1 citation