627 citations · 11.1k across the 229 of their papers we have counts for
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Quantum cellular automata and free quantum field theory
Giacomo M. D'Ariano, Paolo Perinotti
In a series of recent papers it has been shown how free quantum field theory can be derived without using mechanical primitives (including space-time, special relativity, quantizat…
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…
Discrete time Dirac quantum walk in 3+1 dimensions
Giacomo Mauro D'Ariano, Nicola Mosco, Paolo Perinotti +1
In this paper we consider quantum walks whose evolution converges to the Dirac equation one in the limit of small wave-vectors. We show exact Fast Fourier implementation of the Dir…
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…