17 October 2023
Břehová 7 -- Faculty of Nuclear Sciences and Physical Engineering
Europe/Prague timezone

Two-particle Hadamard quantum walk on dynamically percolated line

17 Oct 2023, 09:00
20m
B-111 (Břehová 7 -- Faculty of Nuclear Sciences and Physical Engineering)

B-111

Břehová 7 -- Faculty of Nuclear Sciences and Physical Engineering

Speaker

Magdalena Parýzková

Description

During a quantum walk on a dynamically percolated graph, some of the graphs' edges can randomly break and reappear again at every time step of the walk. So, dynamical percolations present a possibility to simulate the evolution of systems with imperfections. Although they are generally difficult to study, it is possible to analytically investigate the asymptotic evolution of such systems. Using the formalism introduced in this talk several interesting properties of dynamically percolated systems for single-walker quantum walks have already been revealed. Namely, for some graphs, the possibility of broken edges can cause an improvement in the systems' transport properties. In this talk we present the results for the case of two walkers in one dimension, namely for the special case of dynamically percolated Hadamard walk.

Presentation materials

There are no materials yet.