627 citations · 6.5k across the 133 of their papers we have counts for
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The Thirring quantum cellular automaton
A. Bisio, G. M. D'Ariano, P. Perinotti +1
We analytically diagonalize a discrete-time on-site interacting fermionic cellular automaton in the two-particle sector. Important features of the solutions sensibly differ from th…
Isotropic quantum walks on lattices and the Weyl equation
Giacomo Mauro D'Ariano, Marco Erba, Paolo Perinotti
We present a thorough classification of the isotropic quantum walks on lattices of dimension for cell dimension . For there exist two isotropic walks, namely t…
Quantum Walks, Weyl equation and the Lorentz group
Alessandro Bisio, Giacomo Mauro D'Ariano, Paolo Perinotti
Quantum cellular automata and quantum walks provide a framework for the foundations of quantum field theory, since the equations of motion of free relativistic quantum fields can b…
Path-sum solution of the Weyl Quantum Walk in 3+1 dimensions
Giacomo Mauro D'Ariano, Nicola Mosco, Paolo Perinotti +1
We consider the Weyl quantum walk in 3+1 dimensions, that is a discrete-time walk describing a particle with two internal degrees of freedom moving on a Cayley graph of the group $…
Optimal quantum tomography
Alessandro Bisio, Giulio Chiribella, Giacomo Mauro D'Ariano +2
The present short review article illustrates the latest theoretical developments on quantum tomography, regarding general optimization methods for both data-processing and setup. T…