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https://github.com/marekyggdrasil/majorana


https://github.com/marekyggdrasil/majorana

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README

        

[![Fermion Properties](https://travis-ci.com/marekyggdrasil/majorana.svg?branch=main)](https://travis-ci.com/github/marekyggdrasil/majorana)

Introduction to numerical simulations of the Kitaev Chain and detection of the Majorana Zero Modes.

[Majorana Zero Modes](https://mareknarozniak.com/2021/04/09/mzms/) by Marek Narozniak

Tutorial on performing numerical simulations of the Kitaev chain physics and topological quantum computation. Simulating topological phase transition and performing Majorana zero modes detection.

![Majorana Zero Modes article graphic](https://github.com/marekyggdrasil/majorana/blob/main/plots/mzms/figure_thumbnail.png?raw=true)

[Topological phase transitions by braiding](https://mareknarozniak.com/2021/05/09/braiding/) by Marek Narozniak

Further numerical simulations on quantum systems based on Kitaev Chain physics.

![Topological phase transitions by braiding article graphic](https://github.com/marekyggdrasil/majorana/blob/main/plots/braiding/figure_thumbnail.png?raw=true)

[Majorana qubits](https://mareknarozniak.com/2021/06/09/majorana-qubits/) by Marek Narozniak

Designing topological qubits using one-dimensional topological superconductor systems interactions.

![Majorana qubits article graphic](https://github.com/marekyggdrasil/majorana/blob/main/plots/majorana-qubits/result.png?raw=true)

[Topological teleportation](https://mareknarozniak.com/2021/07/09/topological-teleportation/) by Marek Narozniak

A tutorial on how to teleport the topological qubit from one Kitaev chain onto another by applying nothing else but braiding operation between the domain edges.

![Topological teleportation article graphic](https://github.com/marekyggdrasil/majorana/blob/main/plots/topological-teleportation/outcomes.png?raw=true)

[Opening the topological gap](https://mareknarozniak.com/2021/08/09/bdg/) by Marek Narozniak

Introducing Bogoliubov-de Gennes formalism for the numerical study of electron transport systems. Demonstrating how topological gap opens during the topological phase transition.

![Topological teleportation article graphic](https://github.com/marekyggdrasil/majorana/blob/main/plots/bdg/result.png?raw=true)