71 citations · 71 across the 4 of their papers we have counts for
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Dirac quantum walk on tetrahedra
Ugo Nzongani, Nathanaël Eon, Iván Márquez-Martín +3
Discrete-time Quantum Walks (QWs) are transportation models of single quantum particles over a lattice. Their evolution is driven through causal and local unitary operators. QWs ar…
Reducing the number of qubits in quantum simulations of one dimensional many-body Hamiltonians
Somayeh Mehrabankar, Miguel Ángel García-March, Carmen G. Almudéver +1
We investigate the Ising and Heisenberg models using the Block Renormalization Group Method (BRGM), focusing on its behavior across different system sizes. The BRGM reduces the num…
Solitons in a photonic nonlinear quantum walk: lessons from the continuum
Andreu Anglés-Castillo, Armando Pérez, Eugenio Roldán
We analyse a nonlinear QW model which can be experimentally implemented using the components of the electric field on an optical nonlinear Kerr medium, which translates into a rota…
Quantum Walks as simulators of neutrino oscillations in vacuum and matter
Giuseppe Di Molfetta, Armando Pérez
We analyze the simulation of Dirac neutrino oscillations using quantum walks, both in vacuum and in matter. We show that this simulation, in the continuum limit, reproduces a set o…