170 citations · 553 across the 25 of their papers we have counts for
26 papers
Efficient Quantum State Preparation with Walsh Series
Julien Zylberman, Fabrice Debbasch
A new approximate Quantum State Preparation (QSP) method is introduced, called the Walsh Series Loader (WSL). The WSL approximates quantum states defined by real-valued functions o…
Quantum circuits for discrete-time quantum walks with position-dependent coin operator
Ugo Nzongani, Julien Zylberman, Carlo-Elia Doncecchi +3
The aim of this paper is to build quantum circuits that implement discrete-time quantum walks having an arbitrary position-dependent coin operator. The position of the walker is en…
Quantum spatial search with electric potential : long-time dynamics and robustness to noise
Thibault Fredon, Julien Zylberman, Pablo Arnault +1
We present various results on the scheme introduced , which is a quantum spatial-search algorithm on a two-dimensional (2D) square spatial grid, realized with a 2D Dirac discrete-t…
Minimal quantum walk simulation of Dirac fermions in curved space-times
Fabrice Debbasch
The problem of simulating through quantum walks Dirac fermions in arbitrary curved space-times and coordinates is revisited, taking (1 + 1)D space-times as an example. A new shift…
Hybrid Quantum-Classical Algorithm for Hydrodynamics
Julien Zylberman, Giuseppe Di Molfetta, Marc Brachet +2
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-classic…
Dirac quantum walks with conserved angular momentum
Gareth Jay, Pablo Arnault, Fabrice Debbasch
A Quantum Walk (QW) simulating the flat D Dirac Eq.\ on a spatial polar grid is constructed. Because fermions are represented by spinors, which do not constitute a represe…