12 citations · 33 across the 14 of their papers we have counts for
14 papers
Approximate Reduced Lindblad Dynamics via Algebraic and Adiabatic Methods
Tommaso Grigoletto, Alain Sarlette, Francesco Ticozzi +1
We present an algebraic framework for approximate model reduction of Markovian open quantum dynamics that guarantees complete positivity and trace preservation by construction. Fir…
Model Reduction for Controlled Quantum Markov Dynamics
Tommaso Grigoletto, Lorenza Viola, Francesco Ticozzi
We consider the problem of model reduction for Markovian quantum systems whose dynamics are described by a time-dependent Lindblad generator -- notably, as arising in the presence…
Computing time-dependent reduced models for classical and quantum dynamics
Tommaso Grigoletto
This paper introduces a novel method for approximating the dynamics of a large autonomous system projected onto a fixed subspace. The core contribution is a novel recursive algorit…
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…
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…
Exact Model Reduction for Continuous-Time Open Quantum Dynamics
Tommaso Grigoletto, Yukuan Tao, Francesco Ticozzi +1
We consider finite-dimensional many-body quantum systems described by time-independent Hamiltonians and Markovian master equations, and present a systematic method for constructing…
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…
Exact model reduction for discrete-time conditional quantum dynamics
Tommaso Grigoletto, Francesco Ticozzi
Leveraging an algebraic approach built on minimal realizations and conditional expectations in quantum probability, we propose a method to reduce the dimension of quantum filters i…
Model Reduction for Quantum Systems: Discrete-time Quantum Walks and Open Markov Dynamics
Tommaso Grigoletto, Francesco Ticozzi
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 quan…
Dissipative Feedback Switching for Quantum Stabilization
Weichao Liang, Tommaso Grigoletto, Francesco Ticozzi
Switching controlled dynamics allows for fast, flexible control design methods for quantum stabilization of pure states and subspaces, which naturally include both Hamiltonian and…
Algebraic Reduction of Hidden Markov Models
Tommaso Grigoletto, Francesco Ticozzi
The problem of reducing a Hidden Markov Model (HMM) to one of smaller dimension that exactly reproduces the same marginals is tackled by using a system-theoretic approach. Realizat…
Stabilization via feedback switching for quantum stochastic dynamics
Tommaso Grigoletto, Francesco Ticozzi
We propose a new method for pure-state and subspace preparation in quantum systems, which employs the output of a continuous measurement process and switching dissipative control t…
Image compression by means of the multidimensional circulant covariance extension problem -- Revisited
Tommaso Benciolini, Tommaso Grigoletto, Mattia Zorzi
We revisit the image compression problem using the framework introduced by Ringh, Karlsson and Lindquist. More precisely, we explore the possibility to consider a family of objecti…