Fermion Doubling in Quantum Cellular Automata

Dogukan Bakircioglu, Pablo Arnault, Pablo Arrighi

A Quantum Cellular Automaton (QCA) is essentially an operator driving the evolution of particles on a lattice, through local unitaries. Because $\hat{I}{”}_t=\hat{I}{”}_x=\hat{I}\mu$, QCAs constitute a…