46 citations · 46 across the 3 of their papers we have counts for
5 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…
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…
Orthogonal iterations on Structured Pencils
Roberto Bevilacqua, Gianna M. Del Corso, Luca Gemignani
We present a class of fast subspace tracking algorithms based on orthogonal iterations for structured matrices/pencils that can be represented as small rank perturbations of unitar…
When is a matrix unitary or Hermitian plus low rank?
Gianna M. Del Corso, Federico Poloni, Leonardo Robol +1
Hermitian and unitary matrices are two representatives of the class of normal matrices whose full eigenvalue decomposition can be stably computed in quadratic computing com plexity…