Tricolored lattice gauge theory with randomness: fault tolerance in topological color codes
We compute the error threshold of color codes—a class of topological quantum codes that allow a direct implementation of quantum Clifford gates—when both qubit and measurement errors are present. By mapping the problem onto a statistical–mechanical three-dimensional disordered Ising lattice gauge th...
| Autores: | , , , |
|---|---|
| Tipo de documento: | artigo |
| Data de publicação: | 2011 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/42824 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/42824 |
| Access Level: | Acceso aberto |
| Palavra-chave: | 53 Error-correcting codes Quantum memory Model. Física-Modelos matemáticos |
| Resumo: | We compute the error threshold of color codes—a class of topological quantum codes that allow a direct implementation of quantum Clifford gates—when both qubit and measurement errors are present. By mapping the problem onto a statistical–mechanical three-dimensional disordered Ising lattice gauge theory, we estimate via large-scale Monte Carlo simulations that color codes are stable against 4.8(2)% errors. Furthermore, by evaluating the skewness of the Wilson loop distributions, we introduce a very sensitive probe to locate first-order phase transitions in lattice gauge theories. |
|---|