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quant-ph2018
The Dirac equation as a quantum walk over the honeycomb and triangular lattices
Pablo Arrighi, Giuseppe Di Molfetta, Iván Márquez-Martín +1
A discrete-time Quantum Walk (QW) is essentially an operator driving the evolution of a single particle on the lattice, through local unitaries. Some QWs admit a continuum limit, l…
cs.FL2018
A gauge-invariant reversible cellular automaton
Pablo Arrighi, Giuseppe Di Molfetta, Nathanaël Eon
Gauge-invariance is a fundamental concept in physics---known to provide the mathematical justification for all four fundamental forces. In this paper, we provide discrete counterpa…