2 citations · 4 across the 9 of their papers we have counts for
9 papers
Quantum model reduction based on Oja's flow
Miguel Casanova, Kentaro Ohki, Francesco Ticozzi
We propose a novel approach to numerically derive approximate reduced dynamical models for Markovian quantum open systems without perturbative iterations, projecting the evolution…
Context-Selective State Space Models: Feedback is All You Need
Riccardo Zattra, Giacomo Baggio, Umberto Casti +2
Transformers, powered by the attention mechanism, are the backbone of most foundation models, yet they suffer from quadratic complexity and difficulties in dealing with long-range…
Reconstructing Quantum States and Expectations via Dynamical Tomography
Marco Peruzzo, Tommaso Grigoletto, Francesco Ticozzi
When the dynamics of a quantum system of interest is known, an informationally-complete set of observables is not needed for state reconstruction via tomographic techniques: lettin…
Obtaining Structural Network Controllability with Higher-Order Local Dynamics
Marco Peruzzo, Giacomo Baggio, Francesco Ticozzi
We consider a network of identical, first-order linear systems, and investigate how replacing a subset of the systems composing the network with higher-order ones, either taken to…
Finding Conditions for Target Controllability under Christmas Trees
Marco Peruzzo, Giacomo Baggio, Francesco Ticozzi
This paper presents new graph-theoretic conditions for structural target controllability of directed networks. After reviewing existing conditions and highlighting some gaps in the…
Reconstructing Quantum States from Local Observation: A Dynamical Viewpoint
Marco Peruzzo, Tommaso Grigoletto, Francesco Ticozzi
We analyze the problem of reconstructing an unknown quantum state of a multipartite system from repeated measurements of local observables. In particular, via a system-theoretic ob…
Quantum model reduction for continuous-time quantum filters
Tommaso Grigoletto, Clément Pellegrini, Francesco Ticozzi
The use of quantum stochastic models is widespread in dynamical reduction, simulation of open systems, feedback control and adaptive estimation. In many applications only part of t…
Finding Quantum Codes via Riemannian Optimization
Miguel Casanova, Kentaro Ohki, Francesco Ticozzi
We propose a novel optimization scheme designed to find optimally correctable subspace codes for a known quantum noise channel. To each candidate subspace code we first associate a…
Robust, positive and exact model reduction via monotone matrices
Marco Cortese, Tommaso Grigoletto, Francesco Ticozzi +1
This work focuses on the problem of exact model reduction of positive linear systems, by leveraging minimal realization theory. While determining the existence of a positive reacha…