3 papers
quant-ph2024
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…
quant-ph2023
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…
quant-ph2023
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…