72 citations · 610 across the 64 of their papers we have counts for
3 papers · 2 filters
From curved spacetime to spacetime-dependent local unitaries over the honeycomb and triangular Quantum Walks
Pablo Arrighi, Giuseppe Di Molfetta, Iván Márquez-Martín +1
A discrete-time Quantum Walk (QW) is an operator driving the evolution of a single particle on the lattice, through local unitaries. Some QW admit, as their continuum limit, a well…
Discrete-time quantum walks as fermions of lattice gauge theory
Pablo Arnault, Armando Pérez, Pablo Arrighi +1
It is shown that discrete-time quantum walks can be used to digitize, i.e., to time discretize fermionic models of continuous-time lattice gauge theory. The resulting discrete-time…
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…