78 citations · 272 across the 20 of their papers we have counts for
3 papers · 2 filters
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…
A single-particle framework for unitary lattice gauge theory in discrete time
Pablo Arnault, Christopher Cedzich
We construct a real-time lattice-gauge-theory-type action for a spin-1/2 matter field of a single particle on a (1+1)-dimensional spacetime lattice. The framework is based on a dis…