72 citations · 610 across the 64 of their papers we have counts for
5 papers · 2 filters
Quantum simulation of quantum relativistic diffusion via quantum walks
Pablo Arnault, Adrian Macquet, Andreu Anglés-Castillo +6
Two models are first presented, of one-dimensional discrete-time quantum walk (DTQW) with temporal noise on the internal degree of freedom (i.e., the coin): (i) a model with both a…
The Grover search as a naturally occurring phenomenon
Mathieu Roget, Stéphane Guillet, Pablo Arrighi +1
We provide first evidence that under certain conditions, 1/2-spin fermions may naturally behave like a Grover search, looking for topological defects in a material. The theoretical…
A quantum walk with both a continuous-time and a continuous-spacetime limit
Giuseppe Di Molfetta, Pablo Arrighi
Nowadays, quantum simulation schemes come in two flavours. Either they are continuous-time discrete-space models (a.k.a Hamiltonian-based), pertaining to non-relativistic quantum m…
An overview of Quantum Cellular Automata
Pablo Arrighi
Quantum cellular automata consist in arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G. Moreover the global…
A quantum cellular automaton for one-dimensional QED
Pablo Arrighi, Cédric Bény, Terry Farrelly
We propose a discrete spacetime formulation of quantum electrodynamics in one-dimension (a.k.a the Schwinger model) in terms of quantum cellular automata, i.e. translationally inva…