Sequencing one-dimensional Majorana materials for topological quantum computing

Abstract

Abstract Majorana fermions are a fascinating class of particles with unique and intriguing properties: they are their own antiparticles, as first theorized by the Italian physicist Ettore Majorana in 1937. In recent decades, research in condensed matter physics shows theoretically that in certain exotic states of matter, such as topological superconductors, pairs of Majorana fermions can emerge as bound states at defects or interfaces, known as Majorana Zero Modes (MZMs). They behave like non-local anyons and could be used as decoherence-protected qubits. After the seminal work of Kitaev (2001), one-dimensional artificial setups have been developed in line with the concept of the Kitaev chain to implement MZMs. As no definite proof has yet been widely accepted by the community, improvements in the architectures and setups have been realized, and different platforms have been devised, which could be kinds of ‘DNA’ in this rapidly evolving vivid ecosystem. Here, we sequence these ‘DNAs’ and draw perspectives for topological quantum computation.