Author:
Sarma Sankar Das,Freedman Michael,Nayak Chetan
Abstract
AbstractWe provide a current perspective on the rapidly developing field of Majorana zero modes (MZMs) in solid-state systems. We emphasise the theoretical prediction, experimental realisation and potential use of MZMs in future information processing devices through braiding-based topological quantum computation (TQC). Well-separated MZMs should manifest non-Abelian braiding statistics suitable for unitary gate operations for TQC. Recent experimental work, following earlier theoretical predictions, has shown specific signatures consistent with the existence of Majorana modes localised at the ends of semiconductor nanowires in the presence of superconducting proximity effect. We discuss the experimental findings and their theoretical analyses, and provide a perspective on the extent to which the observations indicate the existence of anyonic MZMs in solid-state systems. We also discuss fractional quantum Hall systems (the 5/2 state), which have been extensively studied in the context of non-Abelian anyons and TQC. We describe proposed schemes for carrying out braiding with MZMs as well as the necessary steps for implementing TQC.
Publisher
Springer Science and Business Media LLC
Subject
Computational Theory and Mathematics,Computer Networks and Communications,Statistical and Nonlinear Physics,Computer Science (miscellaneous)
Reference152 articles.
1. Kitaev AY . Fault-tolerant quantum computation by anyons. Ann Phys (NY) 2003; 303: 2.
2. Freedman MH . P/NP, and the quantum field computer. Proc Natl Acad Sci USA 1998; 95: 98.
3. Nayak C, Simon SH, Stern A, Freedman M, Sarma SD . Non-abelian anyons and topological quantum computation. Rev Mod Phys 2008; 80: 1083.
4. Etingof P, Nikshych D, Ostrik V . Fusion categories and homotopy theory. Quantum Topology 2010; 1: 209.
5. Barkeshli M, Bonderson P, Cheng M, Wang Z . Symmetry, defects, and gauging of topological phases. Phys Rev X 2014; 4: 041035.
Cited by
717 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献