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  1.  8
    Quantum Walks, Weyl Equation and the Lorentz Group.Paolo Perinotti, Giacomo Mauro D’Ariano & Alessandro Bisio - 2017 - Foundations of Physics 47 (8):1065-1076.
    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 be derived as the small wave-vector limit of quantum automata and walks starting from very general principles. The intrinsic discreteness of this framework is reconciled with the continuous Lorentz symmetry by reformulating the notion of inertial reference frame in terms of the constants of motion of the quantum walk dynamics. In particular, among the (...)
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  2.  14
    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 & Alessandro Tosini - 2015 - Foundations of Physics 45 (10):1203-1221.
    Recent advances on quantum foundations achieved the derivation of free quantum field theory from general principles, without referring to mechanical notions and relativistic invariance. From the aforementioned principles a quantum cellular automata theory follows, whose relativistic limit of small wave-vector provides the free dynamics of quantum field theory. The QCA theory can be regarded as an extended quantum field theory that describes in a unified way all scales ranging from an hypothetical discrete Planck scale up to the usual Fermi scale. (...)
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  3.  17
    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 & Alessandro Tosini - 2015 - Foundations of Physics 45 (10):1137-1152.
    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 framework that can be regarded as an extension of quantum field theory to including an hypothetical Planck scale, and with the usual quantum field theory recovered in the relativistic limit of small wave-vectors. Being derived from simple principles, the automata theory is quantum ab-initio, and does not assume Lorentz covariance and mechanical notions. Being discrete (...)
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