Selected Publications

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]