Model reduction for quantum systems: Discrete-time quantum walks and open Markov dynamics
T Grigoletto, F Ticozzi - arXiv preprint arXiv:2307.06319, 2023 - arxiv.org
A general approach to obtain reduced models for a wide class of discrete-time quantum
systems is proposed. The obtained models not only reproduce exactly the output of a given …
systems is proposed. The obtained models not only reproduce exactly the output of a given …
Exact Model Reduction for Continuous-Time Open Quantum Dynamics
We consider finite-dimensional many-body quantum systems described by time-
independent Hamiltonians and Markovian master equations, and present a systematic …
independent Hamiltonians and Markovian master equations, and present a systematic …
Exact Model Reduction for Discrete-Time Conditional Quantum Dynamics
T Grigoletto, F Ticozzi - IEEE Control Systems Letters, 2024 - ieeexplore.ieee.org
Leveraging an algebraic approach built on minimal realizations and conditional
expectations in quantum probability, we propose a method to reduce the dimension of …
expectations in quantum probability, we propose a method to reduce the dimension of …
On the Convergence of TD-Learning on Markov Reward Processes with Hidden States
M Amiri, S Magnússon - 2024 European Control Conference …, 2024 - ieeexplore.ieee.org
We investigate the convergence properties of Temporal Difference (TD) Learning on Markov
Reward Processes (MRPs) with new structures for incorporating hidden state information. In …
Reward Processes (MRPs) with new structures for incorporating hidden state information. In …
Exact model reduction for conditional quantum dynamics
T Grigoletto, F Ticozzi - arXiv preprint arXiv:2403.12575, 2024 - arxiv.org
Leveraging an algebraic approach built on minimal realizations and conditional
expectations in quantum probability, we propose a method to reduce the dimension of …
expectations in quantum probability, we propose a method to reduce the dimension of …
Minimal resources for exact simulation of quantum walks
T Grigoletto, F Ticozzi - … IEEE 61st Conference on Decision and …, 2022 - ieeexplore.ieee.org
Quantum walks are stochastic processes generated by a quantum evolution mechanism,
allowing for speed-up in spreading and hitting-time performance with respect to their …
allowing for speed-up in spreading and hitting-time performance with respect to their …
Robust positive model reduction via monotone matrices
This work focuses on the problem of exact model reduction of positive linear systems, by
leveraging minimal realization theory. While even determining the existence of a positive …
leveraging minimal realization theory. While even determining the existence of a positive …
Nuovi approcci alle realizzazioni positive e alle riduzioni di modello positive per sistemi lineari
M Cortese - thesis.unipd.it
Positive linear systems offer open problems regarding minimal realizations and model
reductions. This work aim to study new approaches to robust dimension reduction for …
reductions. This work aim to study new approaches to robust dimension reduction for …