150 citations · 957 across the 43 of their papers we have counts for
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Quantum walks with a one-dimensional coin
Alessandro Bisio, Giacomo Mauro D'Ariano, Marco Erba +2
Quantum walks (QWs) describe particles evolving coherently on a lattice. The internal degree of freedom corresponds to a Hilbert space, called coin system. We consider QWs on Cayle…
Quantum Networks: general theory and applications
Alessandro Bisio, Giulio Chiribella, Giacomo Mauro D'Ariano +1
In this work we present a general mathematical framework to deal with Quantum Networks, i.e. networks resulting from the interconnection of elementary quantum circuits. The corners…
Weyl, Dirac and Maxwell Quantum Cellular Automata: analitical solutions and phenomenological predictions of the Quantum Cellular Automata Theory of Free Fields
Alessandro Bisio, Giacomo Mauro D'Ariano, Paolo Perinotti +1
Recent advances on quantum foundations achieved the derivation of free quantum field theory from general principles, without referring to mechanical notions and relativistic invari…
Free quantum field theory from quantum cellular automata: derivation of Weyl, Dirac and Maxwell quantum cellular automata
Alessandro Bisio, Giacomo Mauro D'Ariano, Paolo Perinotti +1
After leading to a new axiomatic derivation of quantum theory, the new informational paradigm is entering the domain of quantum field theory, suggesting a quantum automata framewor…
Quantum walks, deformed relativity, and Hopf algebra symmetries
Alessandro Bisio, Giacomo Mauro D'Ariano, Paolo Perinotti
We show how the Weyl quantum walk derived from principles in Ref. [1], enjoying a nonlinear Lorentz symmetry of dynamics, allows one to introduce Hopf algebras for position and mom…