4 papers · 1 filter
Continuous Time Limit of the DTQW in 2D+1 and Plasticity
Michael Manighalam, Giuseppe Di Molfetta
A Plastic Quantum Walk admits both continuous time and continuous spacetime. The model has been recently proposed by one of the authors in \cite{molfetta2019quantum}, leading to a…
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…
From curved spacetime to spacetime-dependent local unitaries over the honeycomb and triangular Quantum Walks
Pablo Arrighi, Giuseppe Di Molfetta, Iván Márquez-Martín +1
A discrete-time Quantum Walk (QW) is an operator driving the evolution of a single particle on the lattice, through local unitaries. Some QW admit, as their continuum limit, a well…
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…