Welcome to QSWalk.jl

QSWalk.jl is a package providing an implementation of open continuous-time quantum walk based on the GKSL master equation. In particular, it provides the implementation of functions useful for analyzing the local interaction, the global interaction, and the non-moralizing global interaction stochastic quantum walk models.

Package repository contains examples presenting the most of the functionality of the package. Examples are provided as .ipynb, as well as .jl files. The detailed description of the package can also be found in manuscript available from arXiv.

Description of the quantum stochastic models can be found in the following papers:

• Quantum stochastic walks: A generalization of classical random walks and quantum walks by Whitfield, Rodríguez-Rosario, and Aspuru-Guzik,
• Superdiffusive quantum stochastic walk definable on arbitrary directed graph by Domino, Glos, and Ostaszewski,
• Properties of quantum stochastic walks from the asymptotic scaling exponent by Domino, Glos, Ostaszewski, Pawela, and Sadowski.