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- Aix-Marseille UniversitéFR204 papers
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6 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…
Multiple transitions between normal and hyperballistic diffusion in quantum walks with time-dependent jumps
Marcelo A. Pires, Giuseppe Di Molfetta, Sílvio M. Duarte Queirós
We extend to the gamut of functional forms of the probability distribution of the time-dependent step-length a previous model dubbed Elephant Quantum Walk, which considers a unifor…
Dynamical Triangulation Induced by Quantum Walk
Quentin Aristote, Nathanaël Eon, Giuseppe Di Molfetta
We present the single-particle sector of a quantum cellular automaton, namely a quantum walk, on a simple dynamical triangulated manifold. The triangulation is changed through…
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…