Exact Model Reduction for Continuous-Time Open Quantum Dynamics

T Grigoletto, Y Tao, F Ticozzi, L Viola - arXiv preprint arXiv:2412.05102, 2024 - arxiv.org
We consider finite-dimensional many-body quantum systems described by time-
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 …

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 …

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 …