• Corpus ID: 232335915

A staggered gauge-invariant quantum cellular automaton for both the Kogut-Susskind Schwinger model and the Dirac equation

  title={A staggered gauge-invariant quantum cellular automaton for both the Kogut-Susskind Schwinger model and the Dirac equation},
  author={Kevissen Sellapillay and Pablo Arrighi and Giuseppe Di Molfetta},
We build a quantum cellular automaton (QCA) which coincides with 1+1 QED on its known continuum limits. It consists in a circuit of unitary gates driving the evolution of particles on a one dimensional lattice, and having them interact with the gauge field on the links. The particles are massive fermions, and the evolution is exactly U(1) gauge-invariant. We show that, in the continuous-time discrete-space limit, the QCA converges to the Kogut-Susskind staggered version of 1+1 QED. We also show… 

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