In this paper, we consider the continuous limit of a nonlinear quantum walk (NLQW) that
incorporates a linear quantum walk as a special case. In particular, we rigorously prove that …

Develo** numerical methods to simulate efficiently nonlinear fluid dynamics on universal
quantum computers is a challenging problem. In this paper, a generalization of the …

I first recall the theoretical background relevant to spectral truncation: absolute equilibrium in
helical flows and compressible effects. Thermalization phenomenology in Gross–Pitaevskii …

We study the existence and characterization of self-trap** phenomena in discrete-time
quantum walks. By considering a Kerr-like nonlinearity, we associate an acquisition of the …

We study large time behavior of quantum walks (QWs) with self-dependent (nonlinear) coin.
In particular, we show scattering and derive the reproducing formula for inverse scattering in …

Quantum walks are important tools for the development of quantum algorithms and carrying
out quantum simulations. Recent interest in nonlinear discrete-time quantum walks aims to …

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 …

Quantum walks function as essential means to implement quantum simulators, allowing one
to study complex and often directly inaccessible quantum processes in controllable systems …

A new model of nonlinear charged quantum relativistic fluids is presented. This model can
be discretized into Discrete Time Quantum Walks (DTQWs), and a new hybrid (quantum …

A discrete action principle for general quantum automata is proposed. This action principle
is particularized to Discrete Time Quantum Walks (DTQWs) and then extended into an …