97 citations · 403 across the 15 of their papers we have counts for
4 papers · 1 filter
Quantum walking in curved spacetime
Pablo Arrighi, Stefano Facchini, Marcelo Forets
A discrete-time Quantum Walk (QW) is essentially a unitary operator driving the evolution of a single particle on the lattice. Some QWs admit a continuum limit, leading to familiar…
Discrete Lorentz covariance for Quantum Walks and Quantum Cellular Automata
Pablo Arrighi, Stefano Facchini, Marcelo Forets
We formalize a notion of discrete Lorentz transforms for Quantum Walks (QW) and Quantum Cellular Automata (QCA), in (1 + 1)-dimensional discrete spacetime. The theory admits a diag…
The Dirac equation as a quantum walk: higher dimensions, observational convergence
Pablo Arrighi, Marcelo Forets, Vincent Nesme
The Dirac equation can be modelled as a quantum walk, with the quantum walk being: discrete in time and space (i.e. a unitary evolution of the wave-function of a particle on a latt…
Spatial quantum search in a triangular network
G. Abal, R. Donangelo, M. Forets +1
The spatial search problem consists in minimizing the number of steps required to find a given site in a network, under the restriction that only oracle queries or translations to…