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20092025
most citedQuantum Field as a quantum cellular automaton: the Dirac free evolution in one dimension

80 citations · 589 across the 34 of their papers we have counts for

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Showing 2016Show all

5 papers · 1 filter

quant-ph2016★ 57 cited

No-hypersignaling principle

Michele Dall'Arno, Sarah Brandsen, Alessandro Tosini +2

A paramount topic in quantum foundations, rooted in the study of the EPR paradox and Bell inequalities, is that of characterizing quantum theory in terms of the space-like correlat…

quant-ph2016★ 21 cited

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…

quant-ph2016★ 7 cited

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…

quant-ph2016★ 19 cited

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…

quant-ph2016★ 19 cited

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…