Universal quantum computation with a non-Abelian topological memory

TL;DR

This paper presents a lattice-based non-Abelian topological memory that enables universal quantum computation, demonstrating its error resilience and operational advantages over other quantum memories.

Contribution

It introduces an explicit lattice realization of non-Abelian topological memory with a stabilizer formalism, and proposes non-topological operations for universal quantum computation.

Findings

Resilience of the memory against errors is analyzed and compared.

A set of non-topological operations achieves universal quantum computation.

Provides a microscopic understanding of non-Abelian anyons in quantum memory.

Abstract

An explicit lattice realization of a non-Abelian topological memory is presented. The correspondence between logical and physical states is seen directly by use of the stabilizer formalism. The resilience of the encoded states against errors is studied and compared to that of other memories. A set of non-topological operations are proposed to manipulate the encoded states, resulting in universal quantum computation. This work provides insight into the non-local encoding non-Abelian anyons provide at the microscopical level, with an operational characterization of the memories they provide.