Majorana fermions and topology in superconductors

M Sato, S Fujimoto - Journal of the Physical Society of Japan, 2016 - journals.jps.jp
Topological superconductors are novel classes of quantum condensed phases,
characterized by topologically nontrivial structures of Cooper pairing states. On the surfaces …

Symmetry-Protected Topological Superfluids and Superconductors —From the Basics to 3He—

T Mizushima, Y Tsutsumi, T Kawakami… - journal of the physical …, 2016 - journals.jps.jp
In this article, we give a comprehensive review of recent progress in research on symmetry-
protected topological superfluids and topological crystalline superconductors, and their …

A short introduction to topological quantum computation

V Lahtinen, J Pachos - SciPost Physics, 2017 - scipost.org
This review presents an entry-level introduction to topological quantum computation--
quantum computing with anyons. We introduce anyons at the system-independent level of …

Majorana nanowires for topological quantum computation

P Marra - Journal of Applied Physics, 2022 - pubs.aip.org
Majorana bound states are quasiparticle excitations localized at the boundaries of a
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …

Coulomb-assisted braiding of Majorana fermions in a Josephson junction array

B Van Heck, AR Akhmerov, F Hassler… - New Journal of …, 2012 - iopscience.iop.org
We show how to exchange (braid) Majorana fermions in a network of superconducting
nanowires by control over Coulomb interactions rather than tunneling. Even though …

Floquet Majorana Fermions for Topological Qubits in Superconducting Devices<? format?> and Cold-Atom Systems

DE Liu, A Levchenko, HU Baranger - Physical review letters, 2013 - APS
We develop an approach to realizing a topological phase transition and non-Abelian
braiding statistics with dynamically induced Floquet Majorana fermions (FMFs). When the …

Topological Quantum Gates in Homotopy Type Theory

DJ Myers, H Sati, U Schreiber - Communications in Mathematical Physics, 2024 - Springer
Despite the plausible necessity of topological protection for realizing scalable quantum
computers, the conceptual underpinnings of topological quantum logic gates had arguably …

[HTML][HTML] Majorana quasiparticles in atomic spin chains on superconductors

S Rachel, R Wiesendanger - Physics Reports, 2025 - Elsevier
For the past decade, Majorana quasiparticles have become one of the hot topics in
condensed matter research. Besides the fundamental interest in the realization of particles …

Dephasing of Majorana-based qubits

C Knapp, T Karzig, RM Lutchyn, C Nayak - Physical Review B, 2018 - APS
We analyze charging-energy-protected Majorana-based qubits, focusing on the residual
dephasing that is present when the distance between Majorana zero modes (MZMs) is …

Universal geometric path to a robust Majorana magic gate

T Karzig, Y Oreg, G Refael, MH Freedman - Physical Review X, 2016 - APS
A universal quantum computer requires a full set of basic quantum gates. With Majorana
bound states one can form all necessary quantum gates in a topologically protected way …