859 citations
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Showing 2017 · quant-phShow all
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quant-ph2017
Quantum walk hydrodynamics
Mohamed Hatifi, Giuseppe Di Molfetta, Fabrice Debbasch +1
A simple Discrete-Time Quantum Walk on the line is revisited and given an hydrodynamic interpretation through a novel relativistic generalization of the Madelung transform. Numeric…
quant-ph2017★ 30 cited
The Elephant Quantum Walk
Giuseppe Di Molfetta, Diogo O. Soares-Pinto, Silvio M. Duarte Queiros
We explore the impact of long-range memory on the properties of a family of quantum walks in a one-dimensional lattice and discrete time, which can be understood as the quantum ver…