12 citations · 33 across the 14 of their papers we have counts for
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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…