Unifying flavors of fault tolerance with the ZX calculus

Autor: Hector Bombin, Daniel Litinski, Naomi Nickerson, Fernando Pastawski, Sam Roberts
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Quantum, Vol 8, p 1379 (2024)
Druh dokumentu: article
ISSN: 2521-327X
DOI: 10.22331/q-2024-06-18-1379
Popis: There are several models of quantum computation which exhibit shared fundamental fault-tolerance properties. This article makes commonalities explicit by presenting these different models in a unifying framework based on the ZX calculus. We focus on models of topological fault tolerance – specifically surface codes – including circuit-based, measurement-based and fusion-based quantum computation, as well as the recently introduced model of Floquet codes. We find that all of these models can be viewed as different flavors of the same underlying stabilizer fault-tolerance structure, and sustain this through a set of local equivalence transformations which allow mapping between flavors. We anticipate that this unifying perspective will pave the way to transferring progress among the different views of stabilizer fault-tolerance and help researchers familiar with one model easily understand others.
Databáze: Directory of Open Access Journals