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A quantum cellular automaton for one-dimensional QED

Abstract : We propose a discrete spacetime formulation of quantum electrodynamics in one-dimension (a.k.a the Schwinger model) in terms of quantum cellular automata, i.e. translationally invariant circuits of local quantum gates. These have exact gauge covariance and a maximum speed of information propagation. In this picture, the interacting quantum field theory is defined as a "convergent" sequence of quantum cellular automata, parameterized by the spacetime lattice spacing---encompassing the notions of continuum limit and renormalization, and at the same time providing a quantum simulation algorithm for the dynamics.
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Contributor : Inspire Hep <>
Submitted on : Wednesday, April 3, 2019 - 9:36:28 AM
Last modification on : Wednesday, March 3, 2021 - 4:42:36 AM

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Pablo Arrighi, Cédric Bény, Terry Farrelly. A quantum cellular automaton for one-dimensional QED. 2019. ⟨hal-02088646⟩



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