6 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…
Quantum Feedback Cooling without State Filtering
Lorenzo Franceschetti, Francesco Ticozzi
We introduce a state-based feedback law that stabilizes quantum states or subspaces associated with extremal values of a continuously monitored observable - a problem motivated by…
Symmetrization for quantum networks: a continuous-time approach
Francesco Ticozzi, Luca Mazzarella, Alain Sarlette
In this paper we propose a continuous-time, dissipative Markov dynamics that asymptotically drives a network of n-dimensional quantum systems to the set of states that are invarian…
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…
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…
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…