منابع مشابه
New scheme for braiding Majorana fermions
Non-Abelian statistics can be achieved by exchanging two vortices in topological superconductors with each grabbing a Majorana fermion (MF) as zero-energy quasi-particle at the cores. However, in experiments it is difficult to manipulate vortices. In the present work, we propose a way to braid MFs without moving vortices. The only operation required in the present scheme is to turn on and off l...
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This paper is an introduction to relationships between topology, quantum computing and the properties of fermions. In particular we study the remarkable unitary braid group representations associated with Majorana fermions.
متن کاملMajorana Braiding with Thermal Noise.
We investigate the self-correcting properties of a network of Majorana wires, in the form of a trijunction, in contact with a parity-preserving thermal environment. As opposed to the case where Majorana bound states are immobile, braiding Majorana bound states within a trijunction introduces dangerous error processes that we identify. Such errors prevent the lifetime of the memory from increasi...
متن کاملBraiding properties of Majorana Kramers pairs
We consider the braiding of Kramers pairs of Majorana bound states. We derive the most general transformation on the many-body ground state that is applied as the result of such a braiding process. The result is derived in the context of a toy model, but we will show that it has the most general form that is compatible with local and global conservation of electron parity. In accordance with ea...
متن کاملOverlap for Majorana–weyl Fermions
The power of the overlap formalism is illustrated by regularizing theories based on Majorana-Weyl fermions. The results reported in this contribution were obtained in collaboration with Patrick Huet [1]. More than half of the talk will be independent of the overlap formalism. To present our ideas in the simplest context possible we start directly from an example. Consider a U (1) chiral model, ...
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ژورنال
عنوان ژورنال: Science and Technology of Advanced Materials
سال: 2014
ISSN: 1468-6996,1878-5514
DOI: 10.1088/1468-6996/15/6/064402