Qwalks software implements the discrete time quantum walks models which are spatially dependent. It provides general functionalities of statistical measures and dynamics of quantum walks. This is the first of its kind project that deals with Anderson Localization in a spatially dependent disorders which were based on the following publications.
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S Boettcher. Quantum Ultra Walks: Walks on a line with hierarchical spatial heterogeneity. 2020. DOI:10.1103/PhysRevResearch.2.023411
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Flach et.al. Anderson localization in generalized discrete-time quantum walks. 2017.
DOI:10.1103/PhysRevB.96.144204
Currently the software offers the implementation of
QWdisorderswhich supports both spatially independent and dependent disorders and showcases the results for localization,sub-ballistic spread, and divergent walks.QWevolvesupports the static snapshots at any time-step and can be used in the creation of gif(s) for the time-evolution of our Quantum Walks such as the following for hadamard walks, and spatially variant hierachical walks which see different probability amplitudes due to hierarchy.
This software was used in the completion of Masters thesis and subsequent publication on the topic of localization in spatial dependent quantum walks.
- Sharma R. Nature of Hierarchical Quantum Walks: Localization and delocalization, Masters of Physics, Emory University 2021