Spin texture readout of a Moore-Read topological quantum register

TL;DR

This paper introduces a method to read out the quantum state of a non-Abelian topological quantum register by analyzing the fusion sector of composite charged spin textures in the Moore-Read quantum Hall state.

Contribution

It presents a novel algebraic approach to connect composite charged spin textures with the fusion sectors of non-Abelian quasiparticles for quantum register readout.

Findings

CSTs are determined by the fusion sector of quasiparticles

Provides a new way to read out non-Abelian quantum information

Links spin textures to topological quantum computation

Abstract

We study the composite Charged Spin Texture (CST) over the Moore-Read quantum Hall state that arises when a collection of elementary CSTs are moved to the same location. Following an algebraic approach based on the characteristic pair correlations of the Moore-Read state, we find that the resulting CST is set by the fusion sector of the underlying non-Abelian quasiparticles. This phenomenon provides a novel way to read out the quantum register of a non-Abelian topologically ordered phase.