English

Introduction to Topological Superconductivity and Majorana Fermions for Quantum Engineers

Quantum Physics 2023-09-13 v2

Abstract

In this tutorial paper, we provide an introduction to the briskly expanding research field of Majorana fermions in topological superconductors. We discuss several aspects of topological superconductivity and the advantages it brings to quantum computing. Mathematical derivation of the Kitaev model and BdG Hamiltonian is carried out to explain the phenomena of superconductivity and Majorana fermions. The Majorana fermions and the Non-Abelian statistics are described in detail along with their significance for quantum engineers. The theory provided led towards the engineering of the topological qubits using Majoranas.

Keywords

Cite

@article{arxiv.2306.09982,
  title  = {Introduction to Topological Superconductivity and Majorana Fermions for Quantum Engineers},
  author = {Sanjay Vishwakarma and Sai Nandan Morapakula and Shalini D and Srinjoy Ganguly and Sri Krishna Sai Kankipati},
  journal= {arXiv preprint arXiv:2306.09982},
  year   = {2023}
}

Comments

More proper mathematical equations are needed to be added to provided comprehensive information and re modify some section