| Texto completo | |
| Autor(es): |
Jana, Indrajit
;
Montorsi, Filippo
;
Padmanabhan, Pramod
;
Trancanelli, Diego
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | Journal of High Energy Physics; v. N/A, n. 2, p. 45-pg., 2023-02-27. |
| Resumo | |
Quantum gates built out of braid group elements form the building blocks of topological quantum computation. They have been extensively studied in SU(2)(k) quantum group theories, a rich source of examples of non-Abelian anyons such as the Ising (k = 2), Fibonacci (k = 3) and Jones-Kauffman (k = 4) anyons. We show that the fusion spaces of these anyonic systems can be precisely mapped to the product state zero modes of certain Nicolai-like supersymmetric spin chains. As a result, we can realize the braid group in terms of the product state zero modes of these supersymmetric systems. These operators kill all the other states in the Hilbert space, thus preventing the occurrence of errors while processing information, making them suitable for quantum computing. (AU) | |
| Processo FAPESP: | 19/21281-4 - Dualidade gravitação / Teoria de gauge |
| Beneficiário: | Horatiu Stefan Nastase |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |
| Processo FAPESP: | 16/01343-7 - ICTP Instituto Sul-Americano para Física Fundamental: um centro regional para física teórica |
| Beneficiário: | Nathan Jacob Berkovits |
| Modalidade de apoio: | Auxílio à Pesquisa - Projetos Especiais |