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Can we reduce Quantum Field Theory (QFT) to a quantum computation? Canphysics be simulated by a quantum computer? Do we believe that a quantum fieldis ultimately made of a numerable set of quantum systems that are unitarilyinteracting? A positive answer to these questions corresponds to substitutingQFT with a theory of quantum cellular automata (QCA), and the present work isexamining this hypothesis. These investigations are part of a large researchprogram on a "quantum-digitalization" of physics, with Quantum Theory as aspecial theory of information, and Physics as emergent from the samequantum-information processing. A QCA-based QFT has tremendous potentialadvantages compared to QFT, being quantum "ab-initio" and free from theproblems plaguing QFT due to the continuum hypothesis. Here I will show howdynamics emerges from the quantum processing, how the QCA can reproduce theDirac-field phenomenology at large scales, and the kind of departures from QFTthat that should be expected at a Planck-scale discreteness. I will introducethe notions of linear field quantum automaton and local-matrix quantumautomaton, in terms of which I will provide the solution to the Feynman'sproblem about the possibility of simulating a Fermi field with a quantumcomputer.

Physics as Quantum Information Processing: Quantum Fields as Quantum Automata