From Andreev to Majorana bound states in hybrid superconductor–semiconductor nanowires

E Prada, P San-Jose, MWA de Moor, A Geresdi… - Nature Reviews …, 2020 - nature.com
Inhomogeneous superconductors can host electronic excitations, known as Andreev bound
states (ABSs), below the superconducting energy gap. With the advent of topological …

Search for Majorana fermions in superconductors

CWJ Beenakker - Annu. Rev. Condens. Matter Phys., 2013 - annualreviews.org
Majorana fermions (particles that are their own antiparticle) may or may not exist in nature as
elementary building blocks, but in condensed matter they can be constructed out of electron …

Noise-resilient edge modes on a chain of superconducting qubits

X Mi, M Sonner, MY Niu, KW Lee, B Foxen, R Acharya… - Science, 2022 - science.org
Inherent symmetry of a quantum system may protect its otherwise fragile states. Leveraging
such protection requires testing its robustness against uncontrolled environmental …

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 …

Introduction to topological superconductivity and Majorana fermions

M Leijnse, K Flensberg - Semiconductor Science and Technology, 2012 - iopscience.iop.org
This short review paper provides a pedagogical introduction to the rapidly growing research
field of Majorana fermions in topological superconductors. We first discuss in some detail the …

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 …

Tenfold way for quadratic lindbladians

S Lieu, M McGinley, NR Cooper - Physical Review Letters, 2020 - APS
We uncover a topological classification applicable to open fermionic systems governed by a
general class of Lindblad master equations. These “quadratic Lindbladians” can be …

Topology by dissipation

CE Bardyn, MA Baranov, CV Kraus, E Rico… - New Journal of …, 2013 - iopscience.iop.org
Topological states of fermionic matter can be induced by means of a suitably engineered
dissipative dynamics. Dissipation then does not occur as a perturbation, but rather as the …

Majorana qubit decoherence by quasiparticle poisoning

D Rainis, D Loss - Physical Review B—Condensed Matter and Materials …, 2012 - APS
We consider the problem of quasiparticle poisoning in a nanowire-based realization of a
Majorana qubit, where a spin-orbit-coupled semiconducting wire is placed on top of a (bulk) …