Selected Publications
Exact Model Reduction for Continuous-Time Open Quantum Dynamics
Tommaso Grigoletto, Yukuan Tao, Francesco Ticozzi, and Lorenza Viola
Quantum 9 1814 (2025).
Quantum model reduction for continuous-time quantum filters
Tommaso Grigoletto, Clément Pellegrini, Francesco Ticozzi.
Annales Henri Poincaré.
Exploring the Impact of Memory on Network Controllability
M. Peruzzo, G. Baggio and F. Ticozzi.
Proceedings of the 2024 European Control Conference (ECC).
Model Reduction for Quantum Systems: Discrete-time Quantum Walks and Open Markov Dynamics
T. Grigoletto and F. Ticozzi.
IEEE Transactions on Information Theory
All Group Publications (from arXiv)
- Model Reduction for Controlled Quantum Markov Dynamics
Tommaso Grigoletto, Lorenza Viola, Francesco Ticozzi, 2025 [arxiv] - Computing time-dependent reduced models for classical and quantum dynamics
Tommaso Grigoletto, 2025 [arxiv] - Context-Selective State Space Models: Feedback is All You Need
Riccardo Zattra, Giacomo Baggio, Umberto Casti, Augusto Ferrante, Francesco Ticozzi, 2025 [arxiv] - Reconstructing Quantum States and Expectations via Dynamical Tomography
Marco Peruzzo, Tommaso Grigoletto, Francesco Ticozzi, 2025 [arxiv] - Quantum Wall States for Noise Mitigation and Eternal Purity Bounds
Miguel Casanova, Francesco Ticozzi, 2025 [arxiv] - Obtaining Structural Network Controllability with Higher-Order Local Dynamics
Marco Peruzzo, Giacomo Baggio, Francesco Ticozzi, 2025 [arxiv] - Finding Conditions for Target Controllability under Christmas Trees
Marco Peruzzo, Giacomo Baggio, Francesco Ticozzi, 2025 [arxiv] - Quantum model reduction for continuous-time quantum filters
Tommaso Grigoletto, Clément Pellegrini, Francesco Ticozzi, Annales Henri Poincaré (2025) [online] [arxiv] - Reconstructing Quantum States from Local Observation: A Dynamical Viewpoint
Marco Peruzzo, Tommaso Grigoletto, Francesco Ticozzi, 2024 IEEE 63rd Conference on Decision and Control (CDC), Milan, Italy, 2024, pp. 775-780 [online] [arxiv] - Exact Model Reduction for Continuous-Time Open Quantum Dynamics
Tommaso Grigoletto, Yukuan Tao, Francesco Ticozzi, Lorenza Viola, Quantum 9, 1814 (2025) [online] [arxiv] - Finding Quantum Codes via Riemannian Optimization
Miguel Casanova, Kentaro Ohki, Francesco Ticozzi, 2024 [arxiv] - Robust, positive and exact model reduction via monotone matrices
Marco Cortese, Tommaso Grigoletto, Francesco Ticozzi, Augusto Ferrante, [online] [arxiv] - Exact model reduction for discrete-time conditional quantum dynamics
Tommaso Grigoletto, Francesco Ticozzi, IEEE Control Systems Letters 8 (2024) 550-555 [online] [arxiv] - Improving robustness of quantum feedback control with reinforcement learning
Manuel Guatto, Gian Antonio Susto, Francesco Ticozzi, [online] [arxiv] - Exploring the Robustness of stabilizing controls for stochastic quantum evolutions
Weichao Liang, Kentaro Ohki, Francesco Ticozzi, 2023 [arxiv] - Model Reduction for Quantum Systems: Discrete-time Quantum Walks and Open Markov Dynamics
Tommaso Grigoletto, Francesco Ticozzi, IEEE Transactions on Information Theory, 2025 [online] [arxiv] - Optimizing Measurements Sequences for Quantum State Verification
Weichao Liang, Francesco Ticozzi, Giuseppe Vallone, Quantum Information Processing 22, 419 (2023) [online] [arxiv] - Dissipative Feedback Switching for Quantum Stabilization
Weichao Liang, Tommaso Grigoletto, Francesco Ticozzi, Automatica, vol. 165, 2024, 111659 [online] [arxiv] - Algebraic Reduction of Hidden Markov Models
Tommaso Grigoletto, Francesco Ticozzi, IEEE Transactions on Automatic Control, Volume: 68, Issue: 12, 2023 [online] [arxiv] - Dissipative Encoding of Quantum Information
Giacomo Baggio, Francesco Ticozzi, Peter D. Johnson, Lorenza Viola, Quantum Information and Computation, Vol. 21, No. 9-10, 0737-0770, 2021 [online] [arxiv] - Stabilization via feedback switching for quantum stochastic dynamics
Tommaso Grigoletto, Francesco Ticozzi, IEEE Control Systems Letters 6, 235-240, 2022 [online] [arxiv] - Image compression by means of the multidimensional circulant covariance extension problem — Revisited
Tommaso Benciolini, Tommaso Grigoletto, Mattia Zorzi, 2020 [arxiv] - Uniquely determined pure quantum states need not be unique ground states of quasi-local Hamiltonians
Salini Karuvade, Peter D. Johnson, Francesco Ticozzi, Lorenza Viola, Phys. Rev. A 99, 062104 (2019) [online] [arxiv] - Simulation of Quantum Walks and Fast Mixing with Classical Processes
Simon Apers, Alain Sarlette, Francesco Ticozzi, Phys. Rev. A 98, 032115 (2018) [online] [arxiv] - Generic pure quantum states as steady states of quasi-local dissipative dynamics
Salini Karuvade, Peter D. Johnson, Francesco Ticozzi, Lorenza Viola, J. Phys. A: Math. Theor. 51 145304 (2018) [online] [arxiv] - Bounding the convergence time of local probabilistic evolution
Simon Apers, Alain Sarlette, Francesco Ticozzi, International Conference on Geometric Science of Information. Springer, Cham, 2017 [online] [arxiv] - Lifting Markov Chains To Mix Faster: Limits and Opportunities
Simon Apers, Francesco Ticozzi, Alain Sarlette, 2017 [arxiv] - Quantum and classical resources for unitary design of open-system evolutions
Francesco Ticozzi, Lorenza Viola, Quantum Science and Technology, 2(3):034001, 2017 [online] [arxiv] - Distributed finite-time stabilization of entangled quantum states on tree-like hypergraphs
Francesco Ticozzi, Peter D. Johnson, Lorenza Viola, 2017 [arxiv] - Exact stabilization of entangled states in finite time by dissipative quantum circuits
Peter D. Johnson, Francesco Ticozzi, Lorenza Viola, Phys. Rev. A 96, 012308 (2017) [online] [arxiv] - Alternating Projections Methods for Discrete-time Stabilization of Quantum States
Francesco Ticozzi, Luca Zuccato, Peter D. Johnson, Lorenza Viola, IEEE Transactions on Automatic Control ( Volume: 63, Issue: 3, March 2018) Pages: 819 – 826 [online] [arxiv] - Exponential Stability of Subspaces for Quantum Stochastic Master Equations
Tristan Benoist, Clément Pellegrini, Francesco Ticozzi, Annales Henri Poincare', 18:2045, 2017 [online] [arxiv] - Symmetrizing quantum dynamics beyond gossip-type algorithms
Francesco Ticozzi, Automatica, 74:38- 46, 2016 [online] [arxiv] - General fixed points of quasi-local frustration-free quantum semigroups: from invariance to stabilization
Peter D. Johnson, Francesco Ticozzi, Lorenza Viola, 2015 [arxiv] - Switching Quantum Dynamics for Fast Stabilization
Pierre Scaramuzza, Francesco Ticozzi, Phys. Rev. A 91, 062314 (2015) [online] [arxiv] - Decompositions of Hilbert Spaces, Stability Analysis and Convergence Probabilities for Discrete-Time Quantum Dynamical Semigroups
Giuseppe Ilario Cirillo, Francesco Ticozzi, [online] [arxiv] - Quantum resources for purification and cooling: fundamental limits and opportunities
Francesco Ticozzi, Lorenza Viola, Scientific Reports, 4, 5192, 2014 [online] [arxiv] - Symmetrization for Quantum Networks: a continuous-time approach
Francesci Ticozzi, Luca Mazarella, Alain Sarlette, 2014 [arxiv] - Exact and approximate solutions for the quantum minimum-Kullback-entropy estimation problem
Carlo Sparaciari, Stefano Olivares, Francesco Ticozzi, Matteo G. A. Paris, Phys. Rev. A 89, 042124 (2014) [online] [arxiv] - Extending robustness & randomization from Consensus to Symmetrization Algorithms
Luca Mazzarella, Francesco Ticozzi, Alain Sarlette, 2013 [arxiv] - Optimal Binary Codes and Measurements for Classical Communication over Qubit Channels
Nicola Dalla Pozza, Nicola Laurenti, Francesco Ticozzi, 2013 [arxiv] - Steady-State Entanglement by Engineered Quasi-Local Markovian Dissipation
Francesco Ticozzi, Lorenza Viola, 2013 [arxiv] - Consensus for Quantum Networks: From Symmetry to Gossip Iterations
Luca Mazzarella, Alain Sarlette, Francesco Ticozzi, IEEE Transactions on Automatic Control, 60(1), 158 – 172, 2015 [online] [arxiv] - Minimum Relative Entropy for Quantum Estimation: Feasibility and General Solution
Mattia Zorzi, Francesco Ticozzi, Augusto Ferrante, 2013 [arxiv] - Modeling and Control of Quantum Systems: An Introduction
Claudio Altafini, Francesco Ticozzi, IEEE Transactions on Automatic Control, 57(8):1898–1917, 2012 [online] [arxiv] - Asymmetric Architecture for Heralded Single Photon Sources
Luca Mazzarella, Francesco Ticozzi, Alexander V. Sergienko, Giuseppe Vallone, Paolo Villoresi, Phys. Rev. A 88, 023848 (2013) [online] [arxiv] - Quantum State Preparation by Controlled Dissipation in Finite Time: From Classical to Quantum Controllers
Giacomo Baggio, Francesco Ticozzi, Lorenza Viola, [online] [arxiv] - Stabilizing Entangled States with Quasi-Local Quantum Dynamical Semigroups
Francesco Ticozzi, Lorenza Viola, Phil. Trans. R. Soc. A (2012) vol. 370, no. 1979, 5259-5269 [online] [arxiv] - Stabilization of Stochastic Quantum Dynamics via Open and Closed Loop Control
Francesco Ticozzi, Kazunori Nishio, Claudio Altafini, IEEE Transactions on Automatic Control 58(1): 74-85, 2013 [online] [arxiv] - Hamiltonian Control of Quantum Dynamical Semigroups: Stabilization and Convergence Speed
Francesco Ticozzi, Riccardo Lucchese, Paola Cappellaro, Lorenza Viola, IEEE Transactions of Automatic Control, 57(8): 1931-1944, 2012 [online] [arxiv] - Discrete-Time Controllability for Feedback Quantum Dynamics
Francesca Albertini, Francesco Ticozzi, Automatica 47(11): 2451-2456 (2011) [online] [arxiv] - Quantum Information Encoding, Protection, and Correction from Trace-Norm Isometries
Francesco Ticozzi, Lorenza Viola, Phys. Rev. A 81, 032313 (2010) [9 pages] [online] [arxiv] - Stabilizing Quantum States by Constructive Design of Open Quantum Dynamics
Francesco Ticozzi, Sophie G. Schirmer, Xiaoting Wang, IEEE Transactions on Automatic Control 55(12), 2901-2905 (2010) [online] [arxiv] - On the convergence of an efficient algorithm for Kullback-Leibler approximation of spectral densities
Augusto Ferrante, Federico Ramponi, Francesco Ticozzi, 2009 [arxiv] - Engineering Stable Discrete-Time Quantum Dynamics via a Canonical QR Decomposition
Saverio Bolognani, Francesco Ticozzi, IEEE Transactions on Automatic Control, VOL. 55, NO. 12, December 2010 [online] [arxiv] - Discrete-time classical and quantum Markovian evolutions: Maximum entropy problems on path space
Michele Pavon, Francesco Ticozzi, 2008 [arxiv] - On time-reversal and space-time harmonic processes for Markovian quantum channels
Francesco Ticozzi, Michele Pavon, 2008 [arxiv] - Analysis and synthesis of attractive quantum Markovian dynamics
Francesco Ticozzi, Lorenza Viola, 2008 [arxiv] - Quantum Markovian Subsystems: Invariance, Attractivity, and Control
Francesco Ticozzi, Lorenza Viola, 2007 [arxiv] - Single-bit Feedback and Quantum Dynamical Decoupling
Francesco Ticozzi, Lorenza Viola, Physical Review A 74, 052328, 2006 [online] [arxiv] - Almost Global Stochastic Feedback Stabilization of Conditional Quantum Dynamics
Claudio Altafini, Francesco Ticozzi, 2005 [arxiv] - Robust Steering of n-level Quantum Systems
Francesco Ticozzi, Augusto Ferrante, Michele Pavon, 2003 [arxiv]