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Articles by Del Corso
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 $σ\in \mathbb{R}$ and $γ> 0$, as an alternative to the standard quantum access model.
[2610.13228] 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 $(2\sqrt{N},\,2n+2,\,2 \sqrt{2}\ \varepsilon)$-block encoding, where $\varepsilon$ is controlled by the accuracy of the state-preparation routines that load the generators.
[2603.19130] Quantum block encoding for one-pair semiseparable matrices
[Submitted on 19 Mar 2026 (v1), last revised 29 Jun 2026 (this version, v2)] View PDF Subjects: Quantum Physics (quant-ph); Numerical Analysis (math.NA); Quantum Algebra (math.QA) MSC classes: 81Pxx:1 Cite as: arXiv:2603.19130 [quant-ph] (or arXiv:2603.19130v2 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.19130
Selected exercises in algebra
Title Selected exercises in algebra Volume v.1 Author(s) Chirivì, Rocco ; Del Corso, Ilaria ; Dvornicich, Roberto Publication Cham : Springer, 2020. Series (La matematica per il 3+2 ; 119) Subject category Mathematical Physics and Mathematics Abstract This book, the first of two volumes, contains over 250 selected exercises in Algebra which have featured as exam questions for the Arithmetic course taught by the authors at the University of Pisa.
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